Identifier
Mp00068:
Permutations
—Simion-Schmidt map⟶
Permutations
Mp00065: Permutations —permutation poset⟶ Posets
Mp00074: Posets —to graph⟶ Graphs
Mp00065: Permutations —permutation poset⟶ Posets
Mp00074: Posets —to graph⟶ Graphs
Images
=>
Cc0014;cc-rep-2Cc0020;cc-rep-3
[1]=>[1]=>([],1)=>([],1)
[1,2]=>[1,2]=>([(0,1)],2)=>([(0,1)],2)
[2,1]=>[2,1]=>([],2)=>([],2)
[1,2,3]=>[1,3,2]=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3)
[1,3,2]=>[1,3,2]=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3)
[2,1,3]=>[2,1,3]=>([(0,2),(1,2)],3)=>([(0,2),(1,2)],3)
[2,3,1]=>[2,3,1]=>([(1,2)],3)=>([(1,2)],3)
[3,1,2]=>[3,1,2]=>([(1,2)],3)=>([(1,2)],3)
[3,2,1]=>[3,2,1]=>([],3)=>([],3)
[1,2,3,4]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4)
[1,2,4,3]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4)
[1,3,2,4]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4)
[1,3,4,2]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4)
[1,4,2,3]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4)
[1,4,3,2]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4)
[2,1,3,4]=>[2,1,4,3]=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)
[2,1,4,3]=>[2,1,4,3]=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)
[2,3,1,4]=>[2,4,1,3]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(2,3)],4)
[2,3,4,1]=>[2,4,3,1]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4)
[2,4,1,3]=>[2,4,1,3]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(2,3)],4)
[2,4,3,1]=>[2,4,3,1]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4)
[3,1,2,4]=>[3,1,4,2]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(2,3)],4)
[3,1,4,2]=>[3,1,4,2]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(2,3)],4)
[3,2,1,4]=>[3,2,1,4]=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(1,3),(2,3)],4)
[3,2,4,1]=>[3,2,4,1]=>([(1,3),(2,3)],4)=>([(1,3),(2,3)],4)
[3,4,1,2]=>[3,4,1,2]=>([(0,3),(1,2)],4)=>([(0,3),(1,2)],4)
[3,4,2,1]=>[3,4,2,1]=>([(2,3)],4)=>([(2,3)],4)
[4,1,2,3]=>[4,1,3,2]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4)
[4,1,3,2]=>[4,1,3,2]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4)
[4,2,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4)=>([(1,3),(2,3)],4)
[4,2,3,1]=>[4,2,3,1]=>([(2,3)],4)=>([(2,3)],4)
[4,3,1,2]=>[4,3,1,2]=>([(2,3)],4)=>([(2,3)],4)
[4,3,2,1]=>[4,3,2,1]=>([],4)=>([],4)
[1,2,3,4,5]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,2,3,5,4]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,2,4,3,5]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,2,4,5,3]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,2,5,3,4]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,2,5,4,3]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,3,2,4,5]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,3,2,5,4]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,3,4,2,5]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,3,4,5,2]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,3,5,2,4]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,3,5,4,2]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,4,2,3,5]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,4,2,5,3]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,4,3,2,5]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,4,3,5,2]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,4,5,2,3]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,4,5,3,2]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,5,2,3,4]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,5,2,4,3]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,5,3,2,4]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,5,3,4,2]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,5,4,2,3]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[1,5,4,3,2]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[2,1,3,4,5]=>[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[2,1,3,5,4]=>[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[2,1,4,3,5]=>[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[2,1,4,5,3]=>[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[2,1,5,3,4]=>[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[2,1,5,4,3]=>[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[2,3,1,4,5]=>[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,3,1,5,4]=>[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,3,4,1,5]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,3,4,5,1]=>[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[2,3,5,1,4]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,3,5,4,1]=>[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[2,4,1,3,5]=>[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,4,1,5,3]=>[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,4,3,1,5]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,4,3,5,1]=>[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[2,4,5,1,3]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,4,5,3,1]=>[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[2,5,1,3,4]=>[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,5,1,4,3]=>[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,5,3,1,4]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,5,3,4,1]=>[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[2,5,4,1,3]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,5,4,3,1]=>[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[3,1,2,4,5]=>[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,1,2,5,4]=>[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,1,4,2,5]=>[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,1,4,5,2]=>[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,1,5,2,4]=>[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,1,5,4,2]=>[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,2,1,4,5]=>[3,2,1,5,4]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[3,2,1,5,4]=>[3,2,1,5,4]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[3,2,4,1,5]=>[3,2,5,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,2,4,5,1]=>[3,2,5,4,1]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5)
[3,2,5,1,4]=>[3,2,5,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,2,5,4,1]=>[3,2,5,4,1]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5)
[3,4,1,2,5]=>[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,4,1,5,2]=>[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,4,2,1,5]=>[3,5,2,1,4]=>([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[3,4,2,5,1]=>[3,5,2,4,1]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
[3,4,5,1,2]=>[3,5,4,1,2]=>([(0,4),(1,2),(1,3)],5)=>([(0,1),(2,4),(3,4)],5)
[3,4,5,2,1]=>[3,5,4,2,1]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5)
[3,5,1,2,4]=>[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,5,1,4,2]=>[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,5,2,1,4]=>[3,5,2,1,4]=>([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[3,5,2,4,1]=>[3,5,2,4,1]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
[3,5,4,1,2]=>[3,5,4,1,2]=>([(0,4),(1,2),(1,3)],5)=>([(0,1),(2,4),(3,4)],5)
[3,5,4,2,1]=>[3,5,4,2,1]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5)
[4,1,2,3,5]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,1,2,5,3]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,1,3,2,5]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,1,3,5,2]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,1,5,2,3]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,1,5,3,2]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,2,1,3,5]=>[4,2,1,5,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[4,2,1,5,3]=>[4,2,1,5,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[4,2,3,1,5]=>[4,2,5,1,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,2,3,5,1]=>[4,2,5,3,1]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
[4,2,5,1,3]=>[4,2,5,1,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,2,5,3,1]=>[4,2,5,3,1]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
[4,3,1,2,5]=>[4,3,1,5,2]=>([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,3,1,5,2]=>[4,3,1,5,2]=>([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,3,2,1,5]=>[4,3,2,1,5]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)
[4,3,2,5,1]=>[4,3,2,5,1]=>([(1,4),(2,4),(3,4)],5)=>([(1,4),(2,4),(3,4)],5)
[4,3,5,1,2]=>[4,3,5,1,2]=>([(0,4),(1,4),(2,3)],5)=>([(0,1),(2,4),(3,4)],5)
[4,3,5,2,1]=>[4,3,5,2,1]=>([(2,4),(3,4)],5)=>([(2,4),(3,4)],5)
[4,5,1,2,3]=>[4,5,1,3,2]=>([(0,4),(1,2),(1,3)],5)=>([(0,1),(2,4),(3,4)],5)
[4,5,1,3,2]=>[4,5,1,3,2]=>([(0,4),(1,2),(1,3)],5)=>([(0,1),(2,4),(3,4)],5)
[4,5,2,1,3]=>[4,5,2,1,3]=>([(0,4),(1,4),(2,3)],5)=>([(0,1),(2,4),(3,4)],5)
[4,5,2,3,1]=>[4,5,2,3,1]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5)
[4,5,3,1,2]=>[4,5,3,1,2]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5)
[4,5,3,2,1]=>[4,5,3,2,1]=>([(3,4)],5)=>([(3,4)],5)
[5,1,2,3,4]=>[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[5,1,2,4,3]=>[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[5,1,3,2,4]=>[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[5,1,3,4,2]=>[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[5,1,4,2,3]=>[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[5,1,4,3,2]=>[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5)
[5,2,1,3,4]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5)
[5,2,1,4,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5)
[5,2,3,1,4]=>[5,2,4,1,3]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
[5,2,3,4,1]=>[5,2,4,3,1]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5)
[5,2,4,1,3]=>[5,2,4,1,3]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
[5,2,4,3,1]=>[5,2,4,3,1]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5)
[5,3,1,2,4]=>[5,3,1,4,2]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
[5,3,1,4,2]=>[5,3,1,4,2]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5)
[5,3,2,1,4]=>[5,3,2,1,4]=>([(1,4),(2,4),(3,4)],5)=>([(1,4),(2,4),(3,4)],5)
[5,3,2,4,1]=>[5,3,2,4,1]=>([(2,4),(3,4)],5)=>([(2,4),(3,4)],5)
[5,3,4,1,2]=>[5,3,4,1,2]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5)
[5,3,4,2,1]=>[5,3,4,2,1]=>([(3,4)],5)=>([(3,4)],5)
[5,4,1,2,3]=>[5,4,1,3,2]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5)
[5,4,1,3,2]=>[5,4,1,3,2]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5)
[5,4,2,1,3]=>[5,4,2,1,3]=>([(2,4),(3,4)],5)=>([(2,4),(3,4)],5)
[5,4,2,3,1]=>[5,4,2,3,1]=>([(3,4)],5)=>([(3,4)],5)
[5,4,3,1,2]=>[5,4,3,1,2]=>([(3,4)],5)=>([(3,4)],5)
[5,4,3,2,1]=>[5,4,3,2,1]=>([],5)=>([],5)
[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,1,4,5,6]=>[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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,1,4,6,5]=>[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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,1,5,4,6]=>[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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,1,5,6,4]=>[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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,1,6,4,5]=>[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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,1,6,5,4]=>[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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[3,6,5,4,2,1]=>[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,5,3,6]=>[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,5,6,3]=>[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,6,3,5]=>[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,6,5,3]=>[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,1,2,6,5]=>[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,1,5,2,6]=>[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,1,5,6,2]=>[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,1,6,2,5]=>[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,1,6,5,2]=>[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,5,1,6]=>[4,3,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,1,4,3,6]=>[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,1,4,6,3]=>[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,1,6,3,4]=>[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,1,6,4,3]=>[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,2,6,4]=>[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,4,2,6]=>[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,4,6,2]=>[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,6,2,4]=>[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
[5,3,6,4,2,1]=>[5,3,6,4,2,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,4,1,2,6,3]=>[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,4,1,3,2,6]=>[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,4,1,3,6,2]=>[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,4,1,6,2,3]=>[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,4,2,3,1,6]=>[5,4,2,6,1,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,4,3,1,6,2]=>[5,4,3,1,6,2]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>([(0,5),(1,5),(2,5),(3,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>([(2,5),(3,5),(4,5)],6)=>([(2,5),(3,5),(4,5)],6)
[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6)
[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6)
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>([(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6)
[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>([(0,5),(1,5),(2,5),(3,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6)
[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6)
[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6)
[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6)
[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6)
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6)
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>([(4,5)],6)=>([(4,5)],6)
[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,2,1,3,5,4]=>[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,2,1,4,3,5]=>[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,2,1,4,5,3]=>[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,2,1,5,3,4]=>[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,1,2,5,4]=>[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,1,4,2,5]=>[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,1,4,5,2]=>[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,1,5,2,4]=>[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,1,2,5,3]=>[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,1,3,2,5]=>[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,1,3,5,2]=>[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,1,5,2,3]=>[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,4,2,1,5,3]=>[6,4,2,1,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,3,1,5,2]=>[6,4,3,1,5,2]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6)
[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>([(2,5),(3,5),(4,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,4,3,5,1,2]=>[6,4,3,5,1,2]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6)
[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>([(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6)
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6)
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6)
[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6)
[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>([(4,5)],6)=>([(4,5)],6)
[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,5,1,2,4,3]=>[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,5,1,3,2,4]=>[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,5,1,3,4,2]=>[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,5,1,4,2,3]=>[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[6,5,2,4,3,1]=>[6,5,2,4,3,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[6,5,3,1,4,2]=>[6,5,3,1,4,2]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6)
[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>([(2,5),(3,5),(4,5)],6)=>([(2,5),(3,5),(4,5)],6)
[6,5,3,2,4,1]=>[6,5,3,2,4,1]=>([(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6)
[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>([(4,5)],6)=>([(4,5)],6)
[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6)
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>([(3,5),(4,5)],6)=>([(3,5),(4,5)],6)
[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>([(4,5)],6)=>([(4,5)],6)
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>([(4,5)],6)=>([(4,5)],6)
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>([],6)=>([],6)
[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,4,6,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,4,7,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,4,7,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,5,6,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,5,7,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,5,7,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,6,4,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,6,4,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,6,5,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,6,7,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,6,7,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,7,4,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,7,4,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,7,5,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,7,5,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,7,6,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,7,6,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,3,6,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,3,7,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,3,7,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,5,3,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,5,3,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,5,6,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,5,6,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,5,7,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,5,7,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,6,3,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,6,5,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,6,5,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,6,7,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,6,7,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,7,3,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,7,3,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,7,5,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,7,5,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,7,6,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,7,6,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,3,4,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,3,4,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,3,6,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,3,6,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,3,7,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,3,7,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,4,3,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,4,3,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,4,6,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,4,6,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,4,7,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,4,7,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,6,3,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,6,3,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,6,7,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,6,7,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,7,3,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,7,3,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,7,4,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,7,4,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,7,6,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,5,7,6,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,3,4,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,3,4,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,3,5,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,3,5,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,3,7,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,3,7,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,4,3,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,4,3,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,4,5,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,4,5,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,4,7,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,4,7,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,5,3,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,5,3,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,5,4,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,5,4,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,5,7,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,5,7,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,7,3,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,7,3,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,7,4,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,7,4,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,7,5,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,7,5,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,4,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,5,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,5,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,6,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,6,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,4,3,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,4,3,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,4,5,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,4,5,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,4,6,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,4,6,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,3,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,3,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,4,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,4,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,6,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,6,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,3,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,3,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,4,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,4,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,5,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,5,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,4,5,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,4,6,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,4,6,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,4,7,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,4,7,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,5,4,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,5,4,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,5,6,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,5,6,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,5,7,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,5,7,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,6,4,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,6,4,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,6,5,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,6,5,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,6,7,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,6,7,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,7,4,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,7,4,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,7,5,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,7,5,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,7,6,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,7,6,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,2,5,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,2,5,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,2,6,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,2,6,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,2,7,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,2,7,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,5,2,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,5,2,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,5,6,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,5,6,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,5,7,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,5,7,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,6,2,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,6,2,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,6,5,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,6,5,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,6,7,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,6,7,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,7,2,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,7,2,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,7,5,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,7,5,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,7,6,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,7,6,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,2,4,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,2,4,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,2,6,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,2,6,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,2,7,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,2,7,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,4,2,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,4,2,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,4,6,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,4,6,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,4,7,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,4,7,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,6,2,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,6,2,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,6,4,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,6,4,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,6,7,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,6,7,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,7,2,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,7,4,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,7,4,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,7,6,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,4,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,4,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,5,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,5,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,7,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,7,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,4,2,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,4,2,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,4,5,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,4,5,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,4,7,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,4,7,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,2,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,4,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,4,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,7,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,7,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,7,2,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,7,2,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,7,4,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,7,5,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,2,4,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,2,4,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,2,5,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,2,5,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,2,6,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,2,6,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,4,2,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,4,2,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,4,5,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,4,5,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,4,6,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,4,6,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,5,2,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,5,2,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,5,4,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,5,6,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,6,2,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,6,2,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,6,4,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,6,5,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,3,5,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,3,5,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,3,6,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,3,6,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,3,7,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,3,7,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,5,3,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,5,3,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,5,6,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,5,6,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,5,7,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,5,7,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,6,3,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,6,3,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,6,5,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,6,5,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,6,7,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,6,7,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,7,3,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,7,3,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,7,5,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,7,5,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,7,6,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,7,6,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,2,5,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,2,5,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,2,6,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,2,6,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,2,7,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,2,7,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,5,2,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,5,2,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,5,6,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,5,6,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,5,7,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,5,7,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,6,2,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,6,2,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,6,5,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,6,5,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,6,7,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,6,7,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,7,2,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,7,2,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,7,5,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,7,5,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,7,6,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,7,6,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,2,3,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,2,3,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,2,6,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,2,6,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,2,7,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,2,7,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,3,2,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,3,2,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,3,6,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,3,6,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,3,7,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,3,7,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,6,2,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,6,2,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,6,3,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,6,3,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,6,7,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,6,7,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,7,2,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,7,2,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,7,3,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,7,3,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,2,3,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,2,3,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,2,5,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,2,5,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,2,7,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,2,7,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,3,2,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,3,5,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,3,5,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,3,7,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,3,7,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,5,2,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,5,2,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,5,3,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,5,3,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,5,7,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,5,7,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,7,2,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,7,3,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,2,3,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,2,3,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,2,5,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,2,5,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,2,6,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,2,6,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,3,2,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,3,2,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,3,5,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,3,5,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,3,6,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,3,6,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,5,2,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,5,3,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,6,2,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,6,3,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,3,4,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,3,4,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,3,6,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,3,6,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,3,7,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,3,7,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,4,3,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,4,3,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,4,6,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,4,6,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,4,7,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,4,7,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,6,3,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,6,3,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,6,4,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,6,4,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,6,7,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,6,7,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,7,3,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,7,3,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,7,4,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,7,4,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,7,6,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,7,6,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,2,4,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,2,4,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,2,6,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,2,6,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,2,7,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,2,7,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,4,2,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,4,2,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,4,6,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,4,6,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,4,7,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,4,7,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,6,2,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,6,2,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,6,4,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,6,4,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,6,7,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,6,7,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,7,2,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,7,2,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,7,4,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,7,4,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,2,3,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,2,3,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,2,6,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,2,6,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,2,7,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,2,7,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,3,2,6,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,3,2,7,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,3,6,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,3,6,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,3,7,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,3,7,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,6,2,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,6,2,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,6,3,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,6,7,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,6,7,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,7,2,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,7,2,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,7,3,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,7,3,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,2,3,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,2,3,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,2,4,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,2,4,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,2,7,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,2,7,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,3,2,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,3,2,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,3,4,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,3,4,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,3,7,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,3,7,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,4,2,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,4,2,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,4,3,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,4,3,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,4,7,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,4,7,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,2,3,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,2,3,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,2,4,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,2,4,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,2,6,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,2,6,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,3,2,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,3,4,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,4,2,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,4,3,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,4,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,4,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,5,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,5,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,7,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,7,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,4,3,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,4,3,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,4,5,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,4,5,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,4,7,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,4,7,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,5,3,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,5,3,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,5,4,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,5,4,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,5,7,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,5,7,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,7,3,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,7,3,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,7,4,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,7,4,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,7,5,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,7,5,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,2,4,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,2,4,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,2,5,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,2,5,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,2,7,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,2,7,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,4,2,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,4,2,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,4,5,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,4,5,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,4,7,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,4,7,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,5,2,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,5,2,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,5,4,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,5,4,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,5,7,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,5,7,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,7,2,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,7,2,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,2,3,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,2,3,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,2,5,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,2,5,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,2,7,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,2,7,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,3,2,5,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,3,2,7,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,3,5,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,3,5,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,3,7,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,3,7,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,5,2,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,5,2,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,5,3,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,5,3,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,5,7,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,5,7,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,2,3,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,2,3,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,2,4,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,2,4,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,2,7,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,2,7,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,3,2,4,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,3,2,7,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,3,4,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,3,4,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,3,7,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,3,7,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,2,3,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,2,7,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,3,2,7]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,3,7,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,7,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,7,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,3,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,3,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,4,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,4,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,5,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,5,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,4,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,5,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,5,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,6,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,6,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,4,3,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,4,3,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,4,5,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,4,5,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,4,6,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,4,6,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,5,3,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,5,3,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,5,4,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,5,4,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,5,6,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,5,6,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,6,3,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,6,3,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,6,4,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,6,4,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,6,5,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,6,5,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,2,4,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,2,4,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,2,5,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,2,5,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,2,6,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,2,6,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,4,2,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,4,2,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,4,5,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,4,5,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,4,6,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,4,6,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,5,2,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,5,2,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,6,2,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,6,2,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,2,3,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,2,3,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,2,5,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,2,5,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,2,6,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,2,6,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,3,2,5,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,3,2,6,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,3,5,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,3,5,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,3,6,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,3,6,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,2,3,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,2,3,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,2,4,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,2,4,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,2,6,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,2,6,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,3,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,3,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,4,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,4,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,5,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,5,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,4,5,6,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,4,5,7,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,4,6,5,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,4,6,7,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,4,7,5,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,4,7,6,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,5,4,6,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,5,4,7,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,5,6,4,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,5,6,7,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,5,7,4,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,5,7,6,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,6,4,5,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,6,4,7,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,6,5,4,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,6,5,7,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,6,7,4,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,6,7,5,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,7,4,5,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,7,4,6,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,7,5,4,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,7,6,4,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,3,5,6,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,3,5,7,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,3,6,5,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,3,6,7,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,3,7,5,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,3,7,6,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,3,6,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,3,7,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,6,3,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,6,7,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,7,3,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,7,6,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,6,3,5,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,6,3,7,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,6,5,3,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,6,5,7,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,6,7,3,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,7,3,5,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,7,3,6,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,7,5,3,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,7,6,3,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,4,6,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,4,7,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,6,4,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,6,7,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,7,4,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,7,6,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,3,6,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,6,3,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,6,7,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,7,3,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,7,6,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,3,4,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,3,7,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,4,3,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,7,3,4,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,7,4,3,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,4,5,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,4,7,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,5,4,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,5,7,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,4,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,5,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,3,5,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,3,7,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,5,7,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,3,4,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,3,7,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,4,7,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,4,6,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,5,4,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,5,6,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,6,4,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,6,5,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,3,5,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,3,6,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,5,7,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,6,5,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,6,7,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,7,5,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,7,6,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,4,6,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,4,7,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,6,4,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,6,7,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,7,4,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,7,6,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,6,4,5,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,6,4,7,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,6,5,4,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,6,5,7,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,6,7,4,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,6,7,5,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,4,5,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,4,6,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,5,4,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,5,6,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,6,4,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,6,5,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,1,3,5,6,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,3,5,7,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,3,6,5,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,3,6,7,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,3,7,5,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,3,7,6,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,3,6,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,3,7,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,6,3,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,6,7,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,7,3,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,7,6,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,6,3,5,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,6,3,7,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,6,5,3,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,6,5,7,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,6,7,3,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,6,7,5,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,7,3,5,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,7,3,6,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,7,5,3,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,7,5,6,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,7,6,3,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,1,5,6,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,1,5,7,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,1,6,5,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,1,6,7,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,1,7,5,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,1,7,6,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,1,3,4,6,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,3,4,7,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,3,6,4,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,3,6,7,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,3,7,4,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,3,7,6,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,3,6,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,3,7,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,6,3,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,6,7,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,7,3,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,7,6,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,6,3,4,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,6,3,7,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,6,4,3,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,6,4,7,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,6,7,4,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,3,4,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,3,6,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,4,3,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,4,6,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,6,3,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,6,4,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,1,4,6,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,1,4,7,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,1,6,4,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,1,6,7,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,1,7,4,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,1,7,6,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,4,1,6,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,4,1,7,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,4,1,3,6,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,3,7,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,6,3,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,6,7,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,7,3,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,7,6,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,1,6,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,1,7,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,1,3,4,5,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,3,4,7,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,3,5,4,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,3,5,7,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,3,7,4,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,3,7,5,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,4,3,5,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,4,3,7,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,4,5,3,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,4,5,7,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,4,7,3,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,4,7,5,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,3,4,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,3,7,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,4,3,7]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,4,7,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,7,3,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,7,4,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,3,4,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,3,5,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,4,3,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,4,5,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,5,3,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,5,4,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,1,4,5,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,1,4,7,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,1,5,4,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,1,5,7,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,1,7,4,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,1,7,5,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,4,1,5,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,4,1,7,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,4,5,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,3,5,1,4,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,5,1,7,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,5,4,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,4,1,3,5,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,3,7,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,5,3,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,5,7,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,7,3,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,7,5,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,3,1,5,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,3,1,7,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,3,5,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,4,5,1,3,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,1,7,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,3,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,1,3,4,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,1,3,7,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,1,4,3,7]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,1,4,7,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,1,7,3,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,1,7,4,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,3,1,4,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,3,1,7,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,3,4,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,4,1,3,7]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,1,7,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,3,1,7]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,1,3,4,5,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,3,4,6,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,3,5,4,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,3,5,6,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,3,6,4,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,3,6,5,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,3,5,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,3,6,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,5,3,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,5,6,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,6,3,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,3,4,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,3,6,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,4,3,6]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,4,6,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,6,3,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,6,4,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,3,4,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,3,5,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,4,3,5]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,4,5,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,5,3,4]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,4,5,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,4,6,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,5,4,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,5,6,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,6,4,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,6,5,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,1,5,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,1,6,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,5,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,3,4,5,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,3,4,6,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,3,4,6,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,3,5,1,4,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,5,1,6,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,5,4,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,3,5,4,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,3,5,6,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,3,5,6,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,3,6,1,4,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,6,1,5,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,6,4,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,3,6,4,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,3,6,5,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,3,6,5,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,4,1,3,5,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,1,3,6,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,1,5,3,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,1,5,6,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,1,6,3,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,1,6,5,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,3,1,5,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,3,1,6,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,3,5,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,4,3,5,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,4,3,6,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,4,3,6,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,4,5,1,3,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,5,1,6,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,5,3,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,4,5,3,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,4,5,6,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,4,5,6,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,4,6,1,3,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,6,1,5,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,6,3,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,4,6,3,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,4,6,5,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,4,6,5,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,1,3,6,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,1,4,3,6]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,1,4,6,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,1,6,3,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,1,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,3,1,4,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,3,1,6,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,3,4,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,5,3,4,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,3,6,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,5,3,6,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,4,1,3,6]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,4,1,6,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,4,3,1,6]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,5,4,3,6,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,4,6,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,5,4,6,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,6,1,3,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,6,1,4,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,6,3,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,6,4,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,5,6,4,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,1,3,4,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,3,5,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,4,3,5]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,4,5,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,5,3,4]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,1,4,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,1,5,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,4,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,6,3,4,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,3,5,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,6,3,5,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,4,1,3,5]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,4,1,5,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,4,3,1,5]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,6,4,3,5,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,4,5,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,6,4,5,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,5,1,3,4]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,5,3,1,4]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,6,5,3,4,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,4,5,6,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,4,5,7,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,4,6,5,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,4,6,7,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,4,7,5,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,4,7,6,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,5,4,6,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,5,4,7,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,5,6,4,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,5,6,7,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,5,7,4,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,5,7,6,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,6,4,5,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,6,4,7,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,6,5,4,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,6,5,7,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,6,7,4,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,6,7,5,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,7,4,5,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,7,4,6,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,7,5,4,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,7,5,6,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,7,6,4,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,2,7,6,5,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,2,5,6,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,2,5,7,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,2,6,5,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,2,6,7,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,2,7,5,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,2,7,6,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,2,6,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,2,7,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,6,2,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,6,7,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,7,2,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,7,6,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,2,5,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,2,7,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,5,2,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,5,7,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,7,2,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,7,5,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,7,2,5,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,7,2,6,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,7,5,2,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,7,5,6,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,7,6,2,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,7,6,5,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,4,6,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,4,7,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,6,4,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,6,7,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,7,4,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,7,6,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,2,6,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,2,7,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,6,2,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,6,7,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,7,2,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,7,6,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,2,4,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,2,7,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,4,2,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,4,7,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,7,2,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,7,4,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,7,2,4,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,7,2,6,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,7,4,2,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,7,4,6,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,7,6,2,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,7,6,4,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,4,5,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,4,7,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,5,4,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,5,7,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,7,4,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,7,5,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,2,5,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,2,7,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,5,2,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,5,7,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,7,2,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,7,5,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,2,4,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,2,7,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,4,2,7]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,4,7,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,7,2,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,7,4,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,7,2,4,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,7,2,5,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,7,4,2,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,7,4,5,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,7,5,2,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,7,5,4,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,4,5,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,4,6,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,5,4,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,5,6,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,6,4,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,6,5,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,2,5,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,2,6,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,5,2,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,5,6,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,6,2,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,6,5,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,2,4,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,2,6,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,4,2,6]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,4,6,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,6,2,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,6,4,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,6,2,4,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,6,2,5,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,6,4,2,5]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,6,4,5,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,6,5,2,4]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,1,4,5,6,7]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,4,5,7,6]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,4,6,5,7]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,4,6,7,5]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,4,7,5,6]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,5,4,6,7]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,5,4,7,6]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,5,6,4,7]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,5,6,7,4]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,5,7,4,6]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,6,4,5,7]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,6,4,7,5]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,7,4,5,6]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,7,4,6,5]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(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)
[3,2,4,1,5,6,7]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,1,5,7,6]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,1,6,5,7]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,1,6,7,5]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,1,7,5,6]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,1,7,6,5]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,5,1,6,7]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,5,1,7,6]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,5,6,1,7]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,5,6,7,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,5,7,1,6]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,5,7,6,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,6,1,5,7]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,6,1,7,5]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,6,5,1,7]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,6,5,7,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,6,7,1,5]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,6,7,5,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,1,5,6]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,1,6,5]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,5,1,6]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,5,6,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,6,1,5]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,6,5,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,1,4,6,7]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,1,4,7,6]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,1,6,4,7]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,1,6,7,4]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,1,7,4,6]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,1,7,6,4]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,1,6,7]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,1,7,6]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,6,1,7]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,6,7,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,7,1,6]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,7,6,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,1,4,7]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,1,7,4]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,4,1,7]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,4,7,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,7,1,4]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,7,4,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,1,4,6]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,1,6,4]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,4,1,6]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,4,6,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,6,1,4]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,6,4,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,1,4,5,7]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,1,4,7,5]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,1,5,4,7]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,1,5,7,4]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,1,7,4,5]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,1,7,5,4]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,1,5,7]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,1,7,5]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,5,1,7]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,5,7,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,7,1,5]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,7,5,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,5,1,4,7]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,5,1,7,4]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,5,4,1,7]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,5,4,7,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,5,7,1,4]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,5,7,4,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,7,1,4,5]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,7,1,5,4]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,7,4,1,5]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,7,4,5,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,7,5,1,4]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,7,5,4,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,4,5,6]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,4,6,5]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,5,4,6]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,5,6,4]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,6,4,5]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,1,5,6]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,1,6,5]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,5,1,6]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,5,6,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,6,1,5]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,6,5,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,1,4,6]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,1,6,4]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,4,1,6]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,4,6,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,6,1,4]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,6,4,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,1,4,5]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,4,1,5]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,4,5,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,5,7,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,6,5,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,6,7,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,7,5,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,7,6,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,2,6,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,2,7,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,6,2,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,6,7,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,7,2,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,7,6,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,2,5,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,2,7,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,5,2,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,5,7,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,7,2,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,7,5,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,7,2,5,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,7,2,6,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,7,5,2,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,7,5,6,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,7,6,2,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,7,6,5,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,1,5,6,7]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,2,1,5,7,6]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,2,1,6,5,7]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,2,1,6,7,5]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,2,1,7,5,6]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,2,1,7,6,5]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,2,5,1,6,7]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,5,1,7,6]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,5,6,1,7]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,5,6,7,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,5,7,1,6]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,5,7,6,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,6,1,5,7]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,6,1,7,5]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,6,5,1,7]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,6,5,7,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,6,7,1,5]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,6,7,5,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,1,5,6]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,7,1,6,5]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,7,5,1,6]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,5,6,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,6,1,5]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,6,5,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,2,6,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,2,7,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,6,2,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,6,7,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,7,2,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,7,6,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,2,1,6,7]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,5,2,1,7,6]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,5,2,6,1,7]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,5,2,6,7,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,5,2,7,1,6]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,5,2,7,6,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,5,6,1,2,7]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,5,6,1,7,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,5,6,2,1,7]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,4,5,6,2,7,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,4,5,6,7,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,7,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,7,1,2,6]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,5,7,1,6,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,5,7,2,1,6]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,4,5,7,2,6,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,4,5,7,6,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,7,6,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,6,1,2,5,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,2,7,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,5,2,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,5,7,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,7,2,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,7,5,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,2,1,5,7]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,2,1,7,5]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,2,5,1,7]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,6,2,5,7,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,2,7,1,5]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,6,2,7,5,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,5,1,2,7]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,6,5,1,7,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,6,5,2,1,7]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,4,6,5,2,7,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,4,6,5,7,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,6,5,7,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,6,7,1,2,5]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,6,7,1,5,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,6,7,2,1,5]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,4,6,7,2,5,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,4,6,7,5,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,6,7,5,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,7,1,2,5,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,2,6,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,5,2,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,5,6,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,6,2,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,6,5,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,2,1,5,6]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,2,1,6,5]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,2,5,1,6]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,7,2,5,6,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,2,6,1,5]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,7,2,6,5,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,1,2,6]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,7,5,1,6,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,7,5,2,1,6]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,4,7,5,2,6,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,4,7,5,6,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,7,5,6,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,7,6,1,2,5]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,7,6,1,5,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,4,7,6,2,1,5]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,4,7,6,2,5,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,4,7,6,5,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,7,6,5,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,5,1,2,4,6,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,2,4,7,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,2,6,4,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,2,6,7,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,2,7,4,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,2,7,6,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,2,6,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,2,7,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,6,2,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,6,7,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,7,2,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,7,6,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,6,2,4,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,6,2,7,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,6,4,2,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,6,4,7,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,6,7,2,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,6,7,4,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,7,2,4,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,7,2,6,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,7,4,2,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,7,4,6,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,7,6,2,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,7,6,4,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,1,4,6,7]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,2,1,4,7,6]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(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]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,2,1,6,7,4]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,2,1,7,4,6]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,2,1,7,6,4]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,2,4,1,6,7]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,4,1,7,6]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,4,6,1,7]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,6,7,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,7,1,6]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,7,6,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,6,1,4,7]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,6,1,7,4]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,6,4,1,7]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,6,4,7,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,6,7,1,4]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,6,7,4,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,7,1,4,6]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,7,1,6,4]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,7,4,1,6]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,7,4,6,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,7,6,1,4]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,7,6,4,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,2,6,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,2,7,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,6,2,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,6,7,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,7,2,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,7,6,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,2,1,6,7]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,4,2,1,7,6]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,4,2,6,1,7]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,4,2,6,7,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,4,2,7,1,6]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,4,2,7,6,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,4,6,1,2,7]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,4,6,1,7,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,4,6,2,1,7]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,5,4,6,2,7,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,5,4,6,7,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,4,6,7,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,5,4,7,1,2,6]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,4,7,1,6,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,4,7,2,1,6]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,5,4,7,2,6,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,5,4,7,6,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,4,7,6,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,5,6,1,2,4,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,2,7,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,4,2,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,4,7,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,7,2,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,7,4,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,2,1,4,7]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,6,2,1,7,4]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,6,2,4,1,7]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,6,2,4,7,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,6,2,7,1,4]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,6,2,7,4,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,6,4,1,2,7]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,6,4,1,7,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,6,4,2,1,7]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,5,6,4,2,7,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,5,6,4,7,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,6,4,7,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,5,6,7,1,2,4]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,6,7,1,4,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,6,7,2,1,4]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,5,6,7,2,4,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,5,6,7,4,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,6,7,4,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,5,7,1,2,4,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,1,2,6,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,1,4,2,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,1,4,6,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,1,6,2,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,1,6,4,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,2,1,4,6]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,2,1,6,4]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,2,4,1,6]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,7,2,4,6,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,2,6,1,4]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,7,2,6,4,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,4,1,2,6]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,7,4,1,6,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,7,4,2,1,6]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,5,7,4,2,6,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,5,7,4,6,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,7,4,6,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,5,7,6,1,2,4]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,7,6,1,4,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,7,6,2,1,4]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,5,7,6,2,4,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,5,7,6,4,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,7,6,4,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,6,1,2,4,5,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,2,4,7,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,2,5,4,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,2,5,7,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,2,7,4,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,2,7,5,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,2,5,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,2,7,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,5,7,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,7,2,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,7,5,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,2,4,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,2,7,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,4,7,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,7,2,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,7,4,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,2,4,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,2,5,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,4,2,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,4,5,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,5,4,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,1,4,5,7]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,1,4,7,5]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,1,5,4,7]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,1,5,7,4]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,1,7,4,5]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,1,7,5,4]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,2,4,1,5,7]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,4,1,7,5]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,4,5,1,7]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,4,5,7,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,4,7,1,5]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,4,7,5,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,5,1,4,7]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,5,1,7,4]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,5,4,1,7]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,5,4,7,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,5,7,1,4]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,5,7,4,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,7,1,4,5]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,7,1,5,4]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,7,4,1,5]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,7,4,5,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,7,5,1,4]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,7,5,4,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,1,2,5,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,1,2,7,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,1,5,2,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,1,5,7,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,1,7,2,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,1,7,5,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,2,1,5,7]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,2,1,7,5]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,2,5,1,7]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,5,7,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,2,7,1,5]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,7,5,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,5,1,2,7]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,4,5,1,7,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,4,5,2,1,7]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,6,4,5,2,7,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,4,5,7,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,4,5,7,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,6,4,7,1,2,5]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,4,7,1,5,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,4,7,2,1,5]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,6,4,7,2,5,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,4,7,5,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,4,7,5,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,6,5,1,2,4,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,1,2,7,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,1,4,2,7]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,1,4,7,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,1,7,2,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,1,7,4,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,2,1,4,7]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,5,2,1,7,4]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,5,2,4,1,7]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,6,5,2,4,7,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,5,2,7,1,4]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,6,5,2,7,4,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,5,4,1,2,7]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,5,4,1,7,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,5,4,2,1,7]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,6,5,4,2,7,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,5,4,7,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,5,4,7,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,6,5,7,1,2,4]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,5,7,1,4,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,5,7,2,1,4]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,6,5,7,2,4,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,5,7,4,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,5,7,4,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,6,7,1,2,4,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,2,5,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,4,2,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,4,5,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,5,2,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,5,4,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,2,1,4,5]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,7,2,1,5,4]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,7,2,4,1,5]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,6,7,2,4,5,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,7,2,5,1,4]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,6,7,2,5,4,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,7,4,1,2,5]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,7,4,1,5,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,7,4,2,1,5]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,6,7,4,2,5,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,7,4,5,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,7,4,5,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,6,7,5,1,2,4]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,7,5,1,4,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,6,7,5,2,1,4]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,6,7,5,2,4,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,7,5,4,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,7,5,4,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,7,1,2,4,5,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,2,4,6,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,2,5,4,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,2,5,6,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,2,6,4,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,2,6,5,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,4,2,5,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,4,2,6,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,4,5,2,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,4,6,2,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,2,4,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,2,6,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,4,2,6]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,6,2,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,6,4,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,2,4,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,2,5,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,4,2,5]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,4,5,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,5,2,4]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,1,4,5,6]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,7,2,1,4,6,5]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,7,2,1,5,4,6]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,7,2,1,5,6,4]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,7,2,1,6,4,5]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,7,2,1,6,5,4]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,7,2,4,1,5,6]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,4,1,6,5]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,4,5,1,6]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,5,6,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,6,1,5]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,6,5,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,5,1,4,6]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,5,1,6,4]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,5,4,1,6]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,5,4,6,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,5,6,1,4]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,5,6,4,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,6,1,4,5]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,6,4,1,5]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,6,4,5,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,6,5,1,4]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,6,5,4,1]=>[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,2,5,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,2,6,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,5,2,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,5,6,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,6,2,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,6,5,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,2,1,5,6]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,4,2,1,6,5]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,4,2,5,1,6]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,7,4,2,5,6,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,4,2,6,1,5]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,7,4,2,6,5,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,4,5,1,2,6]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,4,5,1,6,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,4,5,2,1,6]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,4,5,2,6,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,7,4,5,6,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,4,5,6,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,7,4,6,1,2,5]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,4,6,1,5,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,4,6,2,1,5]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,4,6,2,5,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,7,4,6,5,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,4,6,5,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,7,5,1,2,4,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,1,2,6,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,1,4,2,6]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,1,4,6,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,1,6,2,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,1,6,4,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,2,1,4,6]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,5,2,1,6,4]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,5,2,4,1,6]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,7,5,2,4,6,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,5,2,6,1,4]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,7,5,2,6,4,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,5,4,1,2,6]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,5,4,1,6,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,5,4,2,1,6]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,5,4,2,6,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,7,5,4,6,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,5,4,6,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,7,5,6,1,2,4]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,5,6,1,4,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,5,6,2,1,4]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,5,6,2,4,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,7,5,6,4,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,5,6,4,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,7,6,1,2,4,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,1,2,5,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,1,4,2,5]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,1,4,5,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,1,5,2,4]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,2,1,4,5]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,2,4,1,5]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,7,6,2,4,5,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,2,5,1,4]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,7,6,2,5,4,1]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,4,1,2,5]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,6,4,1,5,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,6,4,2,1,5]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,6,4,2,5,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,7,6,4,5,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,6,4,5,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,7,6,5,1,2,4]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,6,5,2,4,1]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,6,5,4,2,1]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,2,3,5,6,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,3,5,7,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,3,6,5,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,3,6,7,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,3,7,5,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,3,7,6,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,5,3,6,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,5,3,7,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,5,6,3,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,5,6,7,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,5,7,3,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,5,7,6,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,3,5,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,3,7,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,5,3,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,5,7,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,7,3,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,7,5,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,7,3,5,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,7,3,6,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,7,5,3,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,7,5,6,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,7,6,3,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,7,6,5,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,2,5,6,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,2,5,7,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,2,6,5,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,2,6,7,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,2,7,5,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,2,7,6,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,2,6,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,2,7,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,6,2,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,6,7,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,7,2,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,7,6,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,6,2,5,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,6,2,7,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,6,5,2,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,6,5,7,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,6,7,2,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,6,7,5,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,7,2,5,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,7,2,6,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,7,5,2,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,7,5,6,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,7,6,2,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,7,6,5,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,3,6,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,3,7,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,6,3,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,6,7,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,7,3,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,7,6,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,2,6,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,2,7,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,6,2,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,6,7,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,7,2,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,7,6,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,2,3,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,2,7,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,3,2,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,3,7,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,7,2,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,7,3,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,7,2,3,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,7,2,6,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,7,3,2,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,7,3,6,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,7,6,2,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,7,6,3,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,3,5,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,3,7,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,5,3,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,5,7,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,7,3,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,7,5,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,2,5,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,2,7,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,5,2,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,5,7,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,7,2,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,7,5,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,2,3,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,2,7,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,3,2,7]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,3,7,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,7,2,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,7,3,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,7,2,3,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,7,2,5,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,7,3,2,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,7,3,5,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,7,5,2,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,7,5,3,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,3,5,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,3,6,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,5,3,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,5,6,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,6,3,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,6,5,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,3,2,5,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,3,2,6,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,3,5,2,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,3,5,6,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,3,6,2,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,3,6,5,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,5,2,3,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,5,2,6,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,5,3,2,6]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,5,3,6,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,5,6,2,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,5,6,3,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,2,3,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,2,5,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,3,2,5]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,3,5,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,5,2,3]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,3,5,6,7]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,3,5,7,6]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,3,6,5,7]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,3,6,7,5]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,3,7,5,6]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,3,7,6,5]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,3,6,7]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,3,7,6]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,6,3,7]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,6,7,3]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,7,3,6]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,7,6,3]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,3,5,7]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,3,7,5]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,5,3,7]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,5,7,3]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,7,3,5]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,7,5,3]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,7,3,5,6]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,7,3,6,5]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,7,5,3,6]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,7,5,6,3]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,7,6,3,5]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,7,6,5,3]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,3,1,6,7,5]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,3,1,7,5,6]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,3,5,1,6,7]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,3,5,1,7,6]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,3,5,6,1,7]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,3,5,6,7,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,5,7,1,6]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,3,5,7,6,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,6,1,5,7]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,3,6,1,7,5]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,3,6,5,1,7]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,3,6,5,7,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,6,7,1,5]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,3,6,7,5,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,1,5,6]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,3,7,1,6,5]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,3,7,5,1,6]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,3,7,5,6,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,6,1,5]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,3,7,6,5,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,1,3,6,7]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,5,1,3,7,6]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,5,1,6,3,7]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,5,1,6,7,3]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,5,1,7,3,6]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,5,1,7,6,3]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,5,3,1,6,7]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,5,3,1,7,6]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,5,3,6,1,7]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,5,3,6,7,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,3,7,1,6]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,5,3,7,6,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,6,1,3,7]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,5,6,1,7,3]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,5,6,3,1,7]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,5,6,3,7,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,6,7,1,3]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,5,6,7,3,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,7,1,3,6]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,5,7,1,6,3]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,5,7,3,1,6]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,5,7,3,6,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,7,6,1,3]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,5,7,6,3,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,1,3,5,7]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,6,1,3,7,5]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,6,1,5,7,3]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,6,1,7,3,5]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,6,1,7,5,3]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,6,3,1,5,7]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,3,1,7,5]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,3,5,1,7]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,6,3,5,7,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,3,7,1,5]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,6,3,7,5,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,1,3,7]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,5,1,7,3]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,5,3,1,7]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,6,5,3,7,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,7,1,3]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,6,5,7,3,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,7,1,3,5]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,7,1,5,3]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,7,3,1,5]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,6,7,3,5,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,7,5,1,3]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,6,7,5,3,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,1,3,5,6]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,7,1,3,6,5]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,7,1,5,3,6]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,7,1,6,3,5]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,7,3,1,5,6]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,3,1,6,5]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,3,5,1,6]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,7,3,5,6,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,3,6,1,5]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,7,3,6,5,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,5,1,3,6]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,5,1,6,3]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,5,3,1,6]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,7,5,3,6,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,5,6,1,3]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,7,5,6,3,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,1,3,5]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,6,1,5,3]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,6,3,1,5]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,7,6,3,5,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,5,1,3]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,2,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,2,5,6,7]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,2,5,7,6]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,2,6,5,7]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,2,6,7,5]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,2,7,5,6]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,2,7,6,5]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,5,2,6,7]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,5,2,7,6]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,5,6,2,7]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,5,6,7,2]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,5,7,2,6]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,5,7,6,2]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,2,5,7]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,2,7,5]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,5,2,7]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,5,7,2]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,7,2,5]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,7,5,2]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,7,2,5,6]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,7,2,6,5]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,7,5,2,6]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,7,5,6,2]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,7,6,2,5]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,7,6,5,2]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,2,1,5,6,7]=>[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)=>([(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)
[4,3,2,1,5,7,6]=>[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)=>([(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)
[4,3,2,1,6,5,7]=>[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)=>([(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)
[4,3,2,1,6,7,5]=>[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)=>([(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)
[4,3,2,1,7,5,6]=>[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)=>([(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)
[4,3,2,1,7,6,5]=>[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)=>([(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)
[4,3,2,5,1,6,7]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,5,1,7,6]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,5,6,1,7]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,2,5,6,7,1]=>[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,2,5,7,1,6]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,2,5,7,6,1]=>[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,2,6,1,5,7]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,6,1,7,5]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,6,5,1,7]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,2,6,5,7,1]=>[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,2,6,7,1,5]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,2,6,7,5,1]=>[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,2,7,1,5,6]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,7,1,6,5]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,7,5,1,6]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,2,7,5,6,1]=>[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,2,7,6,1,5]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,2,7,6,5,1]=>[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,5,1,2,6,7]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,5,1,2,7,6]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,5,1,6,2,7]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,5,1,6,7,2]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,5,1,7,2,6]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,5,1,7,6,2]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,5,2,1,6,7]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,2,1,7,6]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,2,6,1,7]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,5,2,6,7,1]=>[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,2,7,1,6]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,5,2,7,6,1]=>[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,6,1,2,7]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,5,6,1,7,2]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,5,6,2,1,7]=>[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,5,6,2,7,1]=>[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,5,6,7,1,2]=>[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,6,7,2,1]=>[4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,1,2,6]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,5,7,1,6,2]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,5,7,2,1,6]=>[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,5,7,2,6,1]=>[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,5,7,6,1,2]=>[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,6,2,1]=>[4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,1,2,5,7]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,6,1,2,7,5]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,6,1,5,2,7]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,6,1,5,7,2]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,6,1,7,2,5]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,6,1,7,5,2]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,6,2,1,5,7]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,2,1,7,5]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,2,5,1,7]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,2,5,7,1]=>[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,2,7,1,5]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,2,7,5,1]=>[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,5,1,2,7]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,6,5,1,7,2]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,6,5,2,1,7]=>[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,5,2,7,1]=>[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,5,7,1,2]=>[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,5,7,2,1]=>[4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,1,2,5]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,6,7,1,5,2]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,6,7,2,1,5]=>[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,7,2,5,1]=>[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,7,5,1,2]=>[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,5,2,1]=>[4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,1,2,5,6]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,1,2,6,5]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,1,5,2,6]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,1,5,6,2]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,1,6,2,5]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,2,1,5,6]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,2,1,6,5]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,2,5,1,6]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,2,5,6,1]=>[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,2,6,1,5]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,2,6,5,1]=>[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,1,2,6]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,7,5,1,6,2]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,7,5,2,1,6]=>[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,5,2,6,1]=>[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,5,6,1,2]=>[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,6,2,1]=>[4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,6,1,2,5]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,7,6,1,5,2]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,6,2,5,1]=>[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,3,6,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,3,7,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,6,3,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,6,7,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,7,3,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,7,6,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,2,6,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,2,7,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,6,2,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,6,7,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,7,2,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,7,6,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,2,3,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,2,7,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,3,2,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,3,7,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,7,2,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,7,3,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,7,2,3,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,7,2,6,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,7,3,2,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,7,3,6,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,7,6,2,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,7,6,3,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,3,6,7]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,2,1,3,7,6]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,2,1,6,3,7]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,2,1,6,7,3]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,2,1,7,3,6]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,2,1,7,6,3]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,2,3,1,6,7]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,2,3,1,7,6]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,2,3,6,1,7]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,5,2,3,6,7,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,3,7,1,6]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,5,2,3,7,6,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,1,3,7]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,2,6,1,7,3]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,2,6,3,1,7]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,5,2,6,3,7,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,7,1,3]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,5,2,6,7,3,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,1,3,6]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,2,7,1,6,3]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,2,7,3,1,6]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,5,2,7,3,6,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,6,1,3]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,5,2,7,6,3,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,6,2,7]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,6,7,2]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,7,2,6]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,7,6,2]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,2,1,6,7]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,2,1,7,6]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,2,6,1,7]=>[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,2,6,7,1]=>[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,3,2,7,1,6]=>[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,2,7,6,1]=>[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,3,6,1,2,7]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,3,6,1,7,2]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,3,6,2,1,7]=>[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,3,6,2,7,1]=>[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,3,6,7,1,2]=>[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,6,7,2,1]=>[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,3,7,1,2,6]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,3,7,1,6,2]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,3,7,2,1,6]=>[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,3,7,2,6,1]=>[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,3,7,6,1,2]=>[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,6,2,1]=>[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,6,1,2,7,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,6,1,3,2,7]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,6,1,3,7,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,6,1,7,2,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,6,1,7,3,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,6,2,1,3,7]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,5,6,2,1,7,3]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,5,6,2,3,1,7]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,2,3,7,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,5,6,2,7,1,3]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,2,7,3,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,5,6,3,1,2,7]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,5,6,3,1,7,2]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,5,6,3,2,1,7]=>[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,6,3,2,7,1]=>[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,6,3,7,1,2]=>[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,5,6,3,7,2,1]=>[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[4,5,6,7,1,2,3]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,5,6,7,1,3,2]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,5,6,7,2,1,3]=>[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,5,6,7,2,3,1]=>[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,6,7,3,1,2]=>[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,6,7,3,2,1]=>[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[4,5,7,1,2,3,6]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,7,1,2,6,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,7,1,3,2,6]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,7,1,3,6,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,7,1,6,2,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,7,1,6,3,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,5,7,2,1,3,6]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,5,7,2,1,6,3]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,5,7,2,3,1,6]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,2,3,6,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,5,7,2,6,1,3]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,2,6,3,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,5,7,3,1,2,6]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,5,7,3,1,6,2]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,5,7,3,2,1,6]=>[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,7,3,2,6,1]=>[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,7,3,6,1,2]=>[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,5,7,3,6,2,1]=>[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[4,5,7,6,1,2,3]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,5,7,6,1,3,2]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,5,7,6,2,1,3]=>[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,5,7,6,2,3,1]=>[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,7,6,3,1,2]=>[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,7,6,3,2,1]=>[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[4,6,1,2,3,5,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,2,3,7,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,2,5,3,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,2,5,7,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,2,7,3,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,2,7,5,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,2,5,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,2,7,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,5,2,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,5,7,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,7,2,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,7,5,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,2,3,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,2,7,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,3,2,7]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,3,7,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,7,2,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,7,3,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,7,2,3,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,7,2,5,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,7,3,2,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,7,3,5,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,7,5,2,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,7,5,3,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,1,3,5,7]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,2,1,3,7,5]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,2,1,5,3,7]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,2,1,5,7,3]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,2,1,7,3,5]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,2,1,7,5,3]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,2,3,1,5,7]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,2,3,1,7,5]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,2,3,5,1,7]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,6,2,3,5,7,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,3,7,1,5]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,6,2,3,7,5,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,5,1,3,7]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,2,5,1,7,3]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,2,5,3,1,7]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,6,2,5,3,7,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,5,7,1,3]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,6,2,5,7,3,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,1,3,5]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,2,7,1,5,3]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,2,7,3,1,5]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,6,2,7,3,5,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,5,1,3]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,6,2,7,5,3,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,2,5,7]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,2,7,5]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,5,7,2]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,7,5,2]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,2,1,5,7]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,2,1,7,5]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,2,5,1,7]=>[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,2,5,7,1]=>[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,2,7,1,5]=>[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,2,7,5,1]=>[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,5,1,2,7]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,6,3,5,1,7,2]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,6,3,5,2,1,7]=>[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,3,5,2,7,1]=>[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,5,7,1,2]=>[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,5,7,2,1]=>[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,7,1,2,5]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,6,3,7,1,5,2]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,6,3,7,2,1,5]=>[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,3,7,2,5,1]=>[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,7,5,1,2]=>[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,7,5,2,1]=>[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,5,1,2,3,7]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,1,2,7,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,1,3,7,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,1,7,2,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,1,7,3,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,2,1,3,7]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,6,5,2,1,7,3]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,6,5,2,3,1,7]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,2,3,7,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,6,5,2,7,1,3]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,2,7,3,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,6,5,3,1,2,7]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,6,5,3,1,7,2]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,6,5,3,2,1,7]=>[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,6,5,3,2,7,1]=>[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,6,5,3,7,1,2]=>[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,6,5,3,7,2,1]=>[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[4,6,5,7,1,2,3]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,6,5,7,1,3,2]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,6,5,7,2,1,3]=>[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,6,5,7,2,3,1]=>[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,6,5,7,3,1,2]=>[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,6,5,7,3,2,1]=>[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[4,6,7,1,2,3,5]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,1,2,5,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,1,3,2,5]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,1,3,5,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,1,5,3,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,2,1,3,5]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,6,7,2,1,5,3]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,6,7,2,3,1,5]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,2,3,5,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,6,7,2,5,1,3]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,2,5,3,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,6,7,3,1,2,5]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,6,7,3,1,5,2]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,6,7,3,2,1,5]=>[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,6,7,3,2,5,1]=>[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,6,7,3,5,1,2]=>[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,6,7,3,5,2,1]=>[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[4,6,7,5,1,2,3]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,6,7,5,1,3,2]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,6,7,5,2,1,3]=>[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,6,7,5,2,3,1]=>[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,6,7,5,3,1,2]=>[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,6,7,5,3,2,1]=>[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[4,7,1,2,3,5,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,3,6,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,5,3,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,5,6,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,6,3,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,6,5,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,2,5,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,2,6,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,5,2,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,5,6,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,6,2,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,6,5,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,2,3,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,2,6,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,3,2,6]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,3,6,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,6,2,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,6,3,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,6,2,3,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,6,2,5,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,6,3,2,5]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,6,3,5,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,6,5,2,3]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,1,3,5,6]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,2,1,3,6,5]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,2,1,5,3,6]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,2,1,5,6,3]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,2,1,6,3,5]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,7,2,3,1,5,6]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,2,3,1,6,5]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,2,3,5,1,6]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,7,2,3,5,6,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,3,6,1,5]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,7,2,3,6,5,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,5,1,3,6]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,2,5,1,6,3]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,2,5,3,1,6]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,7,2,5,3,6,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,5,6,1,3]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,7,2,5,6,3,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,6,1,3,5]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,2,6,3,1,5]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,7,2,6,3,5,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,2,5,6]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,2,6,5]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,5,2,6]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,6,2,5]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,2,1,5,6]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,2,1,6,5]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,2,5,1,6]=>[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,2,5,6,1]=>[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,5,1,2,6]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,7,3,5,1,6,2]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,7,3,5,2,1,6]=>[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,3,5,2,6,1]=>[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,5,6,1,2]=>[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,5,6,2,1]=>[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,6,1,2,5]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,1,2,3,6]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,5,1,2,6,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,5,1,3,2,6]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,5,1,6,2,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,5,1,6,3,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,5,2,1,3,6]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,7,5,2,1,6,3]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,7,5,2,3,1,6]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,2,3,6,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,7,5,2,6,1,3]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,2,6,3,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,7,5,3,1,2,6]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,7,5,3,1,6,2]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,7,5,3,2,1,6]=>[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,7,5,3,2,6,1]=>[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,7,5,3,6,1,2]=>[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,7,5,3,6,2,1]=>[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[4,7,5,6,1,2,3]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,7,5,6,1,3,2]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,7,5,6,2,1,3]=>[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,7,5,6,2,3,1]=>[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,5,6,3,1,2]=>[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,5,6,3,2,1]=>[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[4,7,6,1,2,3,5]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,6,1,2,5,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,6,1,3,2,5]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,6,1,3,5,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,6,1,5,2,3]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,7,6,2,1,3,5]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,7,6,2,1,5,3]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,7,6,2,3,1,5]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,2,3,5,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,7,6,2,5,1,3]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,7,6,3,1,2,5]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,7,6,3,1,5,2]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,7,6,3,2,5,1]=>[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,7,6,3,5,1,2]=>[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,7,6,3,5,2,1]=>[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[4,7,6,5,1,2,3]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,7,6,5,2,1,3]=>[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,7,6,5,2,3,1]=>[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,5,3,1,2]=>[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[5,1,2,3,4,6,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,4,7,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,6,4,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,6,7,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,7,4,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,7,6,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,4,3,6,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,4,3,7,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,4,6,3,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,4,6,7,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,4,7,3,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,4,7,6,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,3,4,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,3,7,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,4,3,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,4,7,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,7,3,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,7,4,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,3,4,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,3,6,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,4,3,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,4,6,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,6,3,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,6,4,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,4,6,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,4,7,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,6,4,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,6,7,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,7,4,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,7,6,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,4,2,6,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,4,2,7,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,4,6,2,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,4,6,7,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,4,7,2,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,4,7,6,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,6,2,4,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,6,2,7,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,6,4,2,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,6,4,7,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,6,7,2,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,6,7,4,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,7,2,4,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,7,2,6,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,7,4,2,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,7,4,6,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,7,6,2,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,7,6,4,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,3,6,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,3,7,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,6,3,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,6,7,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,7,3,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,7,6,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,2,6,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,2,7,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,6,2,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,6,7,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,7,2,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,7,6,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,2,3,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,2,7,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,3,2,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,3,7,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,7,2,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,7,3,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,7,2,3,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,7,2,6,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,7,3,2,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,7,3,6,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,7,6,2,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,7,6,3,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,3,4,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,3,7,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,4,3,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,4,7,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,7,3,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,7,4,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,2,4,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,2,7,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,4,2,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,4,7,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,7,2,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,7,4,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,2,3,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,2,7,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,3,2,7]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,3,7,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,7,2,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,7,3,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,7,2,3,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,7,2,4,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,7,3,2,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,7,3,4,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,7,4,2,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,7,4,3,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,3,4,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,3,6,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,4,3,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,4,6,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,6,3,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,6,4,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,2,4,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,2,6,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,4,2,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,4,6,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,6,2,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,6,4,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,2,3,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,2,6,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,3,2,6]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,3,6,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,6,2,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,6,3,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,2,3,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,2,4,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,3,2,4]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,3,4,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,4,2,3]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,4,3,2]=>[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,3,4,6,7]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,3,4,7,6]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,3,6,4,7]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,3,6,7,4]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,3,7,4,6]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,3,7,6,4]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,3,6,7]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,3,7,6]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,6,3,7]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,6,7,3]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,7,3,6]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,7,6,3]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,3,4,7]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,3,7,4]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,4,3,7]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,4,7,3]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,7,3,4]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,7,4,3]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,7,3,4,6]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,7,3,6,4]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,7,4,3,6]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,7,4,6,3]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,7,6,3,4]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,1,4,6,7]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,4,7,6]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,6,4,7]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,6,7,4]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,7,4,6]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,7,6,4]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,4,6,1,7]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,3,4,6,7,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,4,7,1,6]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,3,4,7,6,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,6,1,7,4]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,6,4,1,7]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,3,6,4,7,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,6,7,1,4]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,3,6,7,4,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,7,1,4,6]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,7,4,1,6]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,3,7,4,6,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,7,6,1,4]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,3,7,6,4,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,4,1,3,6,7]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,3,7,6]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,6,3,7]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,6,7,3]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,7,3,6]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,7,6,3]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,4,3,6,1,7]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,4,3,6,7,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,4,3,7,1,6]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,4,3,7,6,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,4,6,1,3,7]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,4,6,1,7,3]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,4,6,3,1,7]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,4,6,3,7,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,4,6,7,1,3]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,4,6,7,3,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,4,7,1,3,6]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,4,7,1,6,3]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,4,7,3,1,6]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,4,7,3,6,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,4,7,6,1,3]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,4,7,6,3,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,1,3,4,7]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,3,7,4]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,4,3,7]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,4,7,3]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,7,3,4]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,7,4,3]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,6,3,1,4,7]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,3,1,7,4]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,3,4,1,7]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,6,3,4,7,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,3,7,1,4]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,6,3,7,4,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,4,1,7,3]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,4,3,1,7]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,6,4,3,7,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,4,7,1,3]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,6,4,7,3,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,7,1,3,4]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,7,1,4,3]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,7,3,1,4]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,6,7,3,4,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,7,4,1,3]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,6,7,4,3,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,1,3,4,6]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,3,6,4]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,4,3,6]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,4,6,3]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,6,3,4]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,3,1,4,6]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,7,3,1,6,4]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,7,3,4,1,6]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,7,3,4,6,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,3,6,1,4]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,7,3,6,4,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,4,1,3,6]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,7,4,3,1,6]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,7,4,3,6,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,4,6,1,3]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,7,4,6,3,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,6,1,3,4]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,7,6,3,1,4]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,7,6,3,4,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,6,4,1,3]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,2,4,6,7]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,2,4,7,6]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,2,6,4,7]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,2,6,7,4]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,2,7,4,6]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,2,7,6,4]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,4,2,6,7]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,4,2,7,6]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,4,6,2,7]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,4,6,7,2]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,4,7,2,6]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,4,7,6,2]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,6,2,4,7]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,6,2,7,4]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,6,4,2,7]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,6,4,7,2]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,6,7,2,4]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,6,7,4,2]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,7,2,4,6]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,7,2,6,4]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,7,4,2,6]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,7,4,6,2]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,7,6,2,4]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,1,4,6,7]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,1,4,7,6]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,1,6,4,7]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,1,6,7,4]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,1,7,4,6]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,1,7,6,4]=>[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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,4,1,6,7]=>[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)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,4,1,7,6]=>[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)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,4,6,1,7]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,4,6,7,1]=>[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,4,7,1,6]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,4,7,6,1]=>[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,6,1,4,7]=>[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)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,6,1,7,4]=>[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)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,6,4,1,7]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,6,4,7,1]=>[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,6,7,1,4]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,6,7,4,1]=>[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,7,1,4,6]=>[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)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,7,1,6,4]=>[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)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,7,4,1,6]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,7,4,6,1]=>[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,7,6,1,4]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,1,2,6,7]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,2,7,6]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,6,2,7]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,6,7,2]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,7,2,6]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,7,6,2]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,1,6,7]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,1,7,6]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,6,1,7]=>[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,6,7,1]=>[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,4,2,7,1,6]=>[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,7,6,1]=>[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,4,6,1,2,7]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,4,6,1,7,2]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,4,6,2,1,7]=>[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,3,4,6,2,7,1]=>[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,3,4,6,7,1,2]=>[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,6,7,2,1]=>[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,1,2,6]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,4,7,1,6,2]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,4,7,2,1,6]=>[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,3,4,7,2,6,1]=>[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,3,4,7,6,1,2]=>[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,7,6,2,1]=>[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,6,1,2,4,7]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,2,7,4]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,4,2,7]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,4,7,2]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,7,2,4]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,7,4,2]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,1,4,7]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,1,7,4]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,4,1,7]=>[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,4,7,1]=>[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,6,2,7,1,4]=>[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,7,4,1]=>[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,6,4,1,2,7]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,6,4,1,7,2]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,6,4,2,1,7]=>[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,3,6,4,2,7,1]=>[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,3,6,4,7,1,2]=>[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,7,2,1]=>[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,6,7,1,2,4]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,6,7,1,4,2]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,6,7,2,1,4]=>[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,3,6,7,2,4,1]=>[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,3,6,7,4,1,2]=>[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,7,4,2,1]=>[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,7,1,2,4,6]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,2,6,4]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,4,2,6]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,4,6,2]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,6,2,4]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,1,4,6]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,1,6,4]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,4,1,6]=>[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,4,6,1]=>[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,7,4,1,2,6]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,7,4,1,6,2]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,7,4,2,1,6]=>[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,3,7,4,2,6,1]=>[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,3,7,4,6,1,2]=>[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,6,2,1]=>[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,7,6,1,2,4]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,7,6,2,1,4]=>[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,3,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,3,7,6,4,1,2]=>[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,2,3,6,7]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,2,3,7,6]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,2,6,3,7]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,2,6,7,3]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,2,7,3,6]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,2,7,6,3]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,3,2,6,7]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,3,2,7,6]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,3,6,2,7]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,3,6,7,2]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,3,7,2,6]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,3,7,6,2]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,6,2,3,7]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,6,2,7,3]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,6,3,2,7]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,6,3,7,2]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,6,7,2,3]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,6,7,3,2]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,7,2,3,6]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,7,2,6,3]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,7,3,2,6]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,7,3,6,2]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,7,6,2,3]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,7,6,3,2]=>[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,2,1,3,6,7]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,3,7,6]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,6,3,7]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,6,7,3]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,7,3,6]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,7,6,3]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,3,1,6,7]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,4,2,3,1,7,6]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,4,2,3,6,1,7]=>[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,2,3,6,7,1]=>[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,2,3,7,1,6]=>[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,2,3,7,6,1]=>[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,2,6,1,3,7]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,4,2,6,1,7,3]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,4,2,6,3,1,7]=>[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,2,6,3,7,1]=>[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,2,6,7,1,3]=>[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,2,6,7,3,1]=>[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,2,7,1,3,6]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,4,2,7,1,6,3]=>[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)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,4,2,7,3,1,6]=>[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,2,7,3,6,1]=>[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,2,7,6,3,1]=>[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,3,1,2,6,7]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,1,2,7,6]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,1,6,2,7]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,1,6,7,2]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,1,7,2,6]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,1,7,6,2]=>[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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,1,6,7]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,1,7,6]=>[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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,6,1,7]=>[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)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,6,7,1]=>[5,4,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,7,1,6]=>[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)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,1,2,7]=>[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,4,3,6,1,7,2]=>[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,4,3,6,2,1,7]=>[5,4,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,2,7,1]=>[5,4,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,7,1,2]=>[5,4,3,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,7,2,1]=>[5,4,3,7,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,1,2,6]=>[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,4,3,7,2,1,6]=>[5,4,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,2,6,1]=>[5,4,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,6,1,2]=>[5,4,3,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,6,2,1]=>[5,4,3,7,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,1,2,3,7]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,6,1,2,7,3]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,6,1,3,2,7]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,6,1,3,7,2]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,6,1,7,2,3]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,6,1,7,3,2]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,6,2,1,7,3]=>[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,6,2,3,1,7]=>[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,4,6,2,3,7,1]=>[5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,6,2,7,1,3]=>[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,4,6,2,7,3,1]=>[5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,6,3,1,2,7]=>[5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,6,3,1,7,2]=>[5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,6,3,2,1,7]=>[5,4,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,3,2,7,1]=>[5,4,7,3,2,6,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,6,3,7,1,2]=>[5,4,7,3,6,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,3,7,2,1]=>[5,4,7,3,6,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,6,7,1,2,3]=>[5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,4,6,7,1,3,2]=>[5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,4,6,7,2,1,3]=>[5,4,7,6,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,4,6,7,2,3,1]=>[5,4,7,6,2,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,7,3,1,2]=>[5,4,7,6,3,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,7,3,2,1]=>[5,4,7,6,3,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,1,2,3,6]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,7,1,2,6,3]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,7,1,3,2,6]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,7,1,3,6,2]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,7,1,6,2,3]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[5,4,7,2,1,3,6]=>[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,7,2,3,1,6]=>[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,4,7,2,3,6,1]=>[5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,7,3,1,2,6]=>[5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,4,7,3,2,1,6]=>[5,4,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,2,6,1]=>[5,4,7,3,2,6,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,6,2,1]=>[5,4,7,3,6,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,6,1,2,3]=>[5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,4,7,6,1,3,2]=>[5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,4,7,6,2,3,1]=>[5,4,7,6,2,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,6,3,1,2]=>[5,4,7,6,3,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,2,3,4,7]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,2,3,7,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,2,4,3,7]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,2,4,7,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,2,7,3,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,2,7,4,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,3,2,4,7]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,3,2,7,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,3,4,2,7]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,3,4,7,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,3,7,2,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,3,7,4,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,4,2,3,7]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,4,2,7,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,4,3,2,7]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,4,3,7,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,4,7,2,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,4,7,3,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,7,2,3,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,7,2,4,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,7,3,2,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,7,3,4,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,7,4,2,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,1,7,4,3,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,2,1,3,4,7]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,6,2,1,3,7,4]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,6,2,1,4,3,7]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,6,2,1,4,7,3]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,6,2,1,7,3,4]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,6,2,1,7,4,3]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,6,2,3,1,4,7]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,6,2,3,1,7,4]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,6,2,3,4,1,7]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,3,4,7,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,2,3,7,1,4]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,3,7,4,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,2,4,1,3,7]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,6,2,4,1,7,3]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,6,2,4,3,1,7]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,4,3,7,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,2,4,7,1,3]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,4,7,3,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,2,7,1,3,4]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,6,2,7,1,4,3]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,6,2,7,3,1,4]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,7,3,4,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,2,7,4,1,3]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,7,4,3,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,6,3,1,2,4,7]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,6,3,1,2,7,4]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,6,3,1,4,2,7]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,6,3,1,4,7,2]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,6,3,1,7,2,4]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,6,3,1,7,4,2]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,6,3,2,1,4,7]=>[5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,6,3,2,1,7,4]=>[5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,6,3,2,4,1,7]=>[5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[5,6,3,2,4,7,1]=>[5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,6,3,2,7,1,4]=>[5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[5,6,3,2,7,4,1]=>[5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,3,4,1,7,2]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,3,4,2,1,7]=>[5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,3,4,2,7,1]=>[5,7,3,6,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[5,6,3,4,7,1,2]=>[5,7,3,6,4,1,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,3,4,7,2,1]=>[5,7,3,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,3,7,1,4,2]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,3,7,2,1,4]=>[5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,3,7,2,4,1]=>[5,7,3,6,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[5,6,3,7,4,1,2]=>[5,7,3,6,4,1,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,3,7,4,2,1]=>[5,7,3,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[5,6,4,1,2,3,7]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,1,2,7,3]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,1,3,2,7]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,1,3,7,2]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,1,7,2,3]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,1,7,3,2]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,2,1,3,7]=>[5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,6,4,2,1,7,3]=>[5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,6,4,2,3,1,7]=>[5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,4,2,3,7,1]=>[5,7,4,2,6,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,2,7,1,3]=>[5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,4,2,7,3,1]=>[5,7,4,2,6,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,3,1,7,2]=>[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,6,4,3,2,1,7]=>[5,7,4,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,6,4,3,2,7,1]=>[5,7,4,3,2,6,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,6,4,3,7,1,2]=>[5,7,4,3,6,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[5,6,4,3,7,2,1]=>[5,7,4,3,6,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[5,6,4,7,1,2,3]=>[5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,4,7,1,3,2]=>[5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,4,7,2,1,3]=>[5,7,4,6,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,4,7,2,3,1]=>[5,7,4,6,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[5,6,4,7,3,1,2]=>[5,7,4,6,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[5,6,4,7,3,2,1]=>[5,7,4,6,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[5,6,7,1,2,3,4]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,1,2,4,3]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,1,3,2,4]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,1,3,4,2]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,1,4,2,3]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,1,4,3,2]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,2,1,3,4]=>[5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,6,7,2,1,4,3]=>[5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,6,7,2,3,1,4]=>[5,7,6,2,4,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,7,2,3,4,1]=>[5,7,6,2,4,3,1]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,2,4,1,3]=>[5,7,6,2,4,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,7,2,4,3,1]=>[5,7,6,2,4,3,1]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,3,1,2,4]=>[5,7,6,3,1,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,7,3,1,4,2]=>[5,7,6,3,1,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,7,3,2,1,4]=>[5,7,6,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,3,2,4,1]=>[5,7,6,3,2,4,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,3,4,1,2]=>[5,7,6,3,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[5,6,7,3,4,2,1]=>[5,7,6,3,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,4,1,3,2]=>[5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,4,2,1,3]=>[5,7,6,4,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,7,4,2,3,1]=>[5,7,6,4,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[5,6,7,4,3,1,2]=>[5,7,6,4,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[5,6,7,4,3,2,1]=>[5,7,6,4,3,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[5,7,1,2,3,4,6]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,2,3,6,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,2,4,3,6]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,2,4,6,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,2,6,3,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,2,6,4,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,3,2,4,6]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,3,2,6,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,3,4,2,6]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,3,4,6,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,3,6,2,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,3,6,4,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,4,2,3,6]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,4,2,6,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,4,3,2,6]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,4,3,6,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,4,6,2,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,4,6,3,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,6,2,3,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,6,2,4,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,6,3,2,4]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,6,3,4,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,6,4,2,3]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,2,1,3,4,6]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,7,2,1,3,6,4]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,7,2,1,4,3,6]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,7,2,1,4,6,3]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,7,2,1,6,3,4]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,7,2,3,1,4,6]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,2,3,1,6,4]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,2,3,4,1,6]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,3,4,6,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,2,3,6,1,4]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,3,6,4,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,2,4,1,3,6]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,2,4,1,6,3]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,2,4,3,1,6]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,4,3,6,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,2,4,6,1,3]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,4,6,3,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,2,6,1,3,4]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,2,6,3,1,4]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,6,3,4,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,2,6,4,1,3]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,6,4,3,1]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,7,3,1,2,4,6]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,7,3,1,2,6,4]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,7,3,1,4,2,6]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,7,3,1,4,6,2]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,7,3,1,6,2,4]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,7,3,2,1,4,6]=>[5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,7,3,2,4,1,6]=>[5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[5,7,3,2,4,6,1]=>[5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[5,7,3,2,6,4,1]=>[5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,7,3,4,1,2,6]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,3,4,2,1,6]=>[5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,3,4,2,6,1]=>[5,7,3,6,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[5,7,3,4,6,1,2]=>[5,7,3,6,4,1,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,3,4,6,2,1]=>[5,7,3,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[5,7,3,6,1,2,4]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,3,6,2,1,4]=>[5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[5,7,3,6,4,1,2]=>[5,7,3,6,4,1,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[5,7,4,1,2,3,6]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,1,2,6,3]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,1,3,2,6]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,1,3,6,2]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,1,6,2,3]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,2,1,3,6]=>[5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,7,4,2,3,1,6]=>[5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,4,2,3,6,1]=>[5,7,4,2,6,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,3,1,2,6]=>[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,7,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[5,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[5,7,4,6,1,2,3]=>[5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,4,6,2,1,3]=>[5,7,4,6,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[5,7,4,6,3,1,2]=>[5,7,4,6,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[5,7,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[5,7,6,1,2,3,4]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,1,2,4,3]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,1,3,2,4]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,1,3,4,2]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,1,4,2,3]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,2,1,3,4]=>[5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,7,6,2,3,1,4]=>[5,7,6,2,4,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,6,2,3,4,1]=>[5,7,6,2,4,3,1]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,3,1,2,4]=>[5,7,6,3,1,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[5,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[5,7,6,4,1,2,3]=>[5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[5,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[5,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[6,1,2,3,4,5,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,3,4,7,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,3,5,4,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,3,5,7,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,3,7,4,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,3,7,5,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,4,3,5,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,4,3,7,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,4,5,3,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,4,5,7,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,4,7,3,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,4,7,5,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,5,3,4,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,5,3,7,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,5,4,3,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,5,4,7,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,5,7,3,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,5,7,4,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,7,3,4,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,7,3,5,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,7,4,3,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,7,4,5,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,7,5,3,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,7,5,4,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,2,4,5,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,2,4,7,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,2,5,4,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,2,5,7,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,2,7,4,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,2,7,5,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,4,2,5,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,4,2,7,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,4,5,2,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,4,5,7,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,4,7,2,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,4,7,5,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,5,2,4,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,5,2,7,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,5,4,2,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,5,4,7,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,5,7,2,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,5,7,4,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,7,2,4,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,7,2,5,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,7,4,2,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,7,4,5,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,7,5,2,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,7,5,4,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,2,3,5,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,2,3,7,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,2,5,3,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,2,5,7,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,2,7,3,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,2,7,5,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,3,2,5,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,3,2,7,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,3,5,2,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,3,5,7,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,3,7,2,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,3,7,5,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,5,2,3,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,5,2,7,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,5,3,2,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,5,3,7,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,5,7,2,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,5,7,3,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,7,2,3,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,7,2,5,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,7,3,2,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,7,3,5,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,7,5,2,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,7,5,3,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,2,3,4,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,2,3,7,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,2,4,3,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,2,4,7,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,2,7,3,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,2,7,4,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,3,2,4,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,3,2,7,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,3,4,2,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,3,4,7,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,3,7,2,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,3,7,4,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,4,2,3,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,4,2,7,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,4,3,2,7]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,4,3,7,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,4,7,2,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,4,7,3,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,7,2,3,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,7,2,4,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,7,3,2,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,7,3,4,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,7,4,2,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,5,7,4,3,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,2,3,4,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,2,3,5,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,2,4,3,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,2,4,5,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,2,5,3,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,2,5,4,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,3,2,4,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,3,2,5,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,3,4,2,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,3,4,5,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,3,5,2,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,3,5,4,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,4,2,3,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,4,2,5,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,4,3,2,5]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,4,3,5,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,4,5,2,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,4,5,3,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,5,2,3,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,5,2,4,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,5,3,2,4]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,5,3,4,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,5,4,2,3]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,1,3,4,5,7]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,3,4,7,5]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,3,5,4,7]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,3,5,7,4]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,3,7,4,5]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,3,7,5,4]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,4,3,5,7]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,4,3,7,5]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,4,5,3,7]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,4,5,7,3]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,4,7,3,5]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,4,7,5,3]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,3,4,7]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,3,7,4]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,4,3,7]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,4,7,3]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,7,3,4]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,7,4,3]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,3,4,5]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,3,5,4]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,4,3,5]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,4,5,3]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,5,3,4]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,1,4,5,7]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,3,1,4,7,5]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,3,1,5,4,7]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,3,1,5,7,4]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,3,1,7,4,5]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,3,1,7,5,4]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,3,4,1,5,7]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,3,4,1,7,5]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,3,4,5,7,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,3,4,7,5,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,3,5,1,4,7]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,3,5,1,7,4]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,3,5,4,7,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,3,5,7,1,4]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,3,5,7,4,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,3,7,1,4,5]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,3,7,1,5,4]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,3,7,4,1,5]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,3,7,4,5,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,3,7,5,4,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,4,1,3,5,7]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,4,1,3,7,5]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,4,1,5,3,7]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,4,1,5,7,3]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,4,1,7,3,5]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,4,1,7,5,3]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,4,3,1,5,7]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,4,3,1,7,5]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,3,5,7,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,3,7,5,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,4,5,1,3,7]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,4,5,1,7,3]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,4,5,3,1,7]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,3,7,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,4,5,7,1,3]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,7,3,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,4,7,1,3,5]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,4,7,1,5,3]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,4,7,3,1,5]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,3,5,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,4,7,5,1,3]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,5,3,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,5,1,3,4,7]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,5,1,3,7,4]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,5,1,4,3,7]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,5,1,4,7,3]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,5,1,7,3,4]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,5,1,7,4,3]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,5,3,1,4,7]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,5,3,1,7,4]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,5,3,4,1,7]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,5,3,4,7,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,5,3,7,1,4]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,5,3,7,4,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,5,4,1,3,7]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,5,4,1,7,3]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,5,4,3,7,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,5,4,7,1,3]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,5,4,7,3,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,5,7,1,3,4]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,5,7,1,4,3]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,5,7,3,4,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,5,7,4,1,3]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,5,7,4,3,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,7,1,3,4,5]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,7,1,3,5,4]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,7,1,4,3,5]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,7,1,4,5,3]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,7,1,5,3,4]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,7,1,5,4,3]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,2,7,3,1,4,5]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,7,3,1,5,4]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,7,3,4,1,5]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,3,4,5,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,7,3,5,1,4]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,3,5,4,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,7,4,1,3,5]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,7,4,1,5,3]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,7,4,3,1,5]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,4,3,5,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,4,5,3,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,7,5,1,3,4]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,7,5,3,1,4]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,5,3,4,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,1,2,4,5,7]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,2,4,7,5]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,2,5,4,7]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,2,5,7,4]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,2,7,4,5]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,2,7,5,4]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,2,5,7]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,2,7,5]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,5,2,7]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,5,7,2]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,7,2,5]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,7,5,2]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,2,4,7]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,2,7,4]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,4,2,7]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,4,7,2]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,7,2,4]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,7,4,2]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,2,4,5]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,2,5,4]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,4,2,5]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,4,5,2]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,5,2,4]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,1,4,5,7]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,2,1,4,7,5]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,2,1,5,4,7]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,2,1,5,7,4]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,2,1,7,4,5]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,2,1,7,5,4]=>[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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,2,4,1,5,7]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,4,1,7,5]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,4,5,7,1]=>[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,4,7,5,1]=>[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,5,1,4,7]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,5,1,7,4]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,5,4,7,1]=>[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,5,7,1,4]=>[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,5,7,4,1]=>[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,7,1,4,5]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,7,1,5,4]=>[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)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,3,2,7,4,1,5]=>[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,7,4,5,1]=>[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,4,1,2,5,7]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,4,1,2,7,5]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,4,1,5,2,7]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,4,1,5,7,2]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,4,1,7,2,5]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,4,1,7,5,2]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,4,2,1,5,7]=>[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,4,2,1,7,5]=>[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,4,2,5,1,7]=>[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,3,4,2,5,7,1]=>[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,3,4,2,7,1,5]=>[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,3,4,2,7,5,1]=>[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,2,7]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,4,5,1,7,2]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,4,5,2,1,7]=>[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,4,5,2,7,1]=>[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,4,5,7,1,2]=>[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,4,5,7,2,1]=>[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,3,4,7,1,2,5]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,4,7,1,5,2]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,4,7,2,1,5]=>[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,4,7,2,5,1]=>[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,4,7,5,1,2]=>[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,4,7,5,2,1]=>[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,3,5,1,2,4,7]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,5,1,2,7,4]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,5,1,4,2,7]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,5,1,4,7,2]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,5,1,7,2,4]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,5,1,7,4,2]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,5,2,1,4,7]=>[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,5,2,1,7,4]=>[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,5,2,4,1,7]=>[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,3,5,2,4,7,1]=>[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,3,5,2,7,1,4]=>[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,3,5,2,7,4,1]=>[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,3,5,4,1,2,7]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,5,4,1,7,2]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,5,4,2,1,7]=>[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,5,4,2,7,1]=>[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,5,4,7,1,2]=>[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,5,4,7,2,1]=>[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,3,5,7,1,2,4]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,5,7,1,4,2]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,5,7,2,1,4]=>[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,5,7,2,4,1]=>[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,5,7,4,1,2]=>[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,5,7,4,2,1]=>[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,3,7,1,2,4,5]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,7,1,2,5,4]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,7,1,4,2,5]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,7,1,4,5,2]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,7,1,5,2,4]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,7,1,5,4,2]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,3,7,2,1,4,5]=>[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,3,7,2,4,1,5]=>[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,3,7,2,4,5,1]=>[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,3,7,2,5,4,1]=>[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,3,7,4,1,2,5]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,7,4,1,5,2]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,7,4,2,1,5]=>[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,7,4,2,5,1]=>[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,7,4,5,1,2]=>[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,7,4,5,2,1]=>[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,3,7,5,1,2,4]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,7,5,2,1,4]=>[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,7,5,4,1,2]=>[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,7,5,4,2,1]=>[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,4,1,2,3,5,7]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,2,3,7,5]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,2,5,3,7]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,2,5,7,3]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,2,7,3,5]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,2,7,5,3]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,3,2,5,7]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,3,2,7,5]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,3,5,2,7]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,3,5,7,2]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,3,7,2,5]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,3,7,5,2]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,5,2,3,7]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,5,2,7,3]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,5,3,2,7]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,5,3,7,2]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,5,7,2,3]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,5,7,3,2]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,7,2,3,5]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,7,2,5,3]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,7,3,2,5]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,7,3,5,2]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,7,5,2,3]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,2,1,3,5,7]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,1,3,7,5]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,1,5,3,7]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,1,5,7,3]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,1,7,3,5]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,1,7,5,3]=>[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)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,3,1,5,7]=>[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,2,3,1,7,5]=>[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,2,3,5,1,7]=>[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,4,2,3,5,7,1]=>[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,3,7,1,5]=>[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,4,2,3,7,5,1]=>[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,5,1,3,7]=>[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,2,5,1,7,3]=>[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,2,5,3,1,7]=>[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,4,2,5,3,7,1]=>[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,5,7,1,3]=>[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,4,2,5,7,3,1]=>[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,7,1,3,5]=>[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,2,7,3,1,5]=>[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,4,2,7,3,5,1]=>[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[6,4,2,7,5,3,1]=>[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,3,1,2,5,7]=>[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,2,7,5]=>[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,5,2,7]=>[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,5,7,2]=>[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,7,2,5]=>[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,1,5,7]=>[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)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,1,7,5]=>[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)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,5,7,1]=>[6,4,3,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,7,5,1]=>[6,4,3,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,5,1,2,7]=>[6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,4,3,5,1,7,2]=>[6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,4,3,5,2,1,7]=>[6,4,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,5,2,7,1]=>[6,4,3,7,2,5,1]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,5,7,1,2]=>[6,4,3,7,5,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,5,7,2,1]=>[6,4,3,7,5,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,3,7,1,2,5]=>[6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[6,4,3,7,2,1,5]=>[6,4,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,5,2,1]=>[6,4,3,7,5,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,5,1,2,3,7]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,5,1,2,7,3]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,5,1,3,2,7]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,5,1,3,7,2]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,5,1,7,2,3]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,5,1,7,3,2]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,5,2,1,3,7]=>[6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[6,4,5,2,1,7,3]=>[6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,4,5,2,3,7,1]=>[6,4,7,2,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[6,4,5,2,7,1,3]=>[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,4,5,2,7,3,1]=>[6,4,7,2,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[6,4,5,3,1,2,7]=>[6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,3,1,7,2]=>[6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,3,2,1,7]=>[6,4,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,4,5,3,2,7,1]=>[6,4,7,3,2,5,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,4,5,3,7,1,2]=>[6,4,7,3,5,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,3,7,2,1]=>[6,4,7,3,5,2,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[6,4,5,7,1,2,3]=>[6,4,7,5,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,4,5,7,1,3,2]=>[6,4,7,5,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,4,5,7,2,1,3]=>[6,4,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,4,5,7,2,3,1]=>[6,4,7,5,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,4,5,7,3,1,2]=>[6,4,7,5,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,4,5,7,3,2,1]=>[6,4,7,5,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[6,4,7,1,2,3,5]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,7,1,2,5,3]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,7,1,3,2,5]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,7,1,3,5,2]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,7,1,5,2,3]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,4,7,2,1,3,5]=>[6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[6,4,7,2,1,5,3]=>[6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[6,4,7,2,3,1,5]=>[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,4,7,2,3,5,1]=>[6,4,7,2,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[6,4,7,3,1,2,5]=>[6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,3,2,1,5]=>[6,4,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,4,7,3,2,5,1]=>[6,4,7,3,2,5,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,3,5,2,1]=>[6,4,7,3,5,2,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[6,4,7,5,1,2,3]=>[6,4,7,5,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,4,7,5,1,3,2]=>[6,4,7,5,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,4,7,5,2,1,3]=>[6,4,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,4,7,5,2,3,1]=>[6,4,7,5,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,4,7,5,3,1,2]=>[6,4,7,5,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[6,5,1,2,3,4,7]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,2,3,7,4]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,2,4,3,7]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,2,4,7,3]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,2,7,3,4]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,2,7,4,3]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,3,2,4,7]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,3,2,7,4]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,3,4,2,7]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,3,4,7,2]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,3,7,2,4]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,3,7,4,2]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,4,2,3,7]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,4,2,7,3]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,4,3,2,7]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,4,3,7,2]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,4,7,2,3]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,4,7,3,2]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,7,2,3,4]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,7,2,4,3]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,7,3,2,4]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,7,3,4,2]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,7,4,2,3]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,7,4,3,2]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,2,1,3,4,7]=>[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,1,3,7,4]=>[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,1,4,3,7]=>[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,1,4,7,3]=>[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,1,7,3,4]=>[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,1,7,4,3]=>[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,3,1,4,7]=>[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,5,2,3,1,7,4]=>[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,5,2,3,4,1,7]=>[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,5,2,3,4,7,1]=>[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,2,3,7,1,4]=>[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,5,2,3,7,4,1]=>[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,2,4,1,3,7]=>[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,5,2,4,1,7,3]=>[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,5,2,4,3,1,7]=>[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,5,2,4,3,7,1]=>[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,2,4,7,1,3]=>[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,5,2,4,7,3,1]=>[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,2,7,1,3,4]=>[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,5,2,7,1,4,3]=>[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,5,2,7,3,1,4]=>[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,5,2,7,3,4,1]=>[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,2,7,4,1,3]=>[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,5,2,7,4,3,1]=>[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,3,1,2,4,7]=>[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,5,3,1,2,7,4]=>[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,5,3,1,4,2,7]=>[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,5,3,1,4,7,2]=>[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,5,3,1,7,2,4]=>[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,5,3,2,1,4,7]=>[6,5,3,2,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,2,1,7,4]=>[6,5,3,2,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,2,4,1,7]=>[6,5,3,2,7,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,2,4,7,1]=>[6,5,3,2,7,4,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,3,2,7,1,4]=>[6,5,3,2,7,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,2,7,4,1]=>[6,5,3,2,7,4,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,3,4,1,2,7]=>[6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,3,4,1,7,2]=>[6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[6,5,3,4,2,7,1]=>[6,5,3,7,2,4,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,5,3,4,7,1,2]=>[6,5,3,7,4,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,3,4,7,2,1]=>[6,5,3,7,4,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,5,3,7,1,2,4]=>[6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,3,7,1,4,2]=>[6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[6,5,3,7,2,4,1]=>[6,5,3,7,2,4,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,5,3,7,4,1,2]=>[6,5,3,7,4,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,3,7,4,2,1]=>[6,5,3,7,4,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,1,2,3,7]=>[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,4,1,2,7,3]=>[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,4,1,3,2,7]=>[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,4,1,3,7,2]=>[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,4,1,7,2,3]=>[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,4,2,1,3,7]=>[6,5,4,2,1,7,3]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,2,3,1,7]=>[6,5,4,2,7,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,5,4,2,3,7,1]=>[6,5,4,2,7,3,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,2,7,1,3]=>[6,5,4,2,7,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,5,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,3,1,2,7]=>[6,5,4,3,1,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,3,1,7,2]=>[6,5,4,3,1,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,1,2]=>[6,5,4,3,7,1,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,7,1,2,3]=>[6,5,4,7,1,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,4,7,1,3,2]=>[6,5,4,7,1,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,4,7,2,1,3]=>[6,5,4,7,2,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,4,7,2,3,1]=>[6,5,4,7,2,3,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,4,7,3,1,2]=>[6,5,4,7,3,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
[6,5,7,1,2,3,4]=>[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,1,2,4,3]=>[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,1,3,2,4]=>[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,1,3,4,2]=>[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,1,4,2,3]=>[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,1,4,3,2]=>[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,2,1,3,4]=>[6,5,7,2,1,4,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[6,5,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[6,5,7,2,3,1,4]=>[6,5,7,2,4,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,5,7,2,3,4,1]=>[6,5,7,2,4,3,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,5,7,2,4,3,1]=>[6,5,7,2,4,3,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,3,1,2,4]=>[6,5,7,3,1,4,2]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,5,7,3,2,1,4]=>[6,5,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[6,5,7,3,4,2,1]=>[6,5,7,3,4,2,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,5,7,4,1,2,3]=>[6,5,7,4,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,4,2,3,1]=>[6,5,7,4,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,5,7,4,3,1,2]=>[6,5,7,4,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
[6,7,1,2,3,4,5]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,2,3,5,4]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,2,4,3,5]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,2,4,5,3]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,2,5,3,4]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,2,5,4,3]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,3,2,4,5]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,3,2,5,4]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,3,4,2,5]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,3,4,5,2]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,3,5,2,4]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,3,5,4,2]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,4,2,3,5]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,4,2,5,3]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,4,3,2,5]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,4,3,5,2]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,4,5,2,3]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,4,5,3,2]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,5,2,3,4]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,5,2,4,3]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,5,3,2,4]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,5,3,4,2]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,5,4,2,3]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,1,5,4,3,2]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,2,1,3,4,5]=>[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,3,5,4]=>[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,4,3,5]=>[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,4,5,3]=>[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,5,3,4]=>[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,5,4,3]=>[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,1,4,5]=>[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,1,5,4]=>[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,4,1,5]=>[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,2,3,4,5,1]=>[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,2,3,5,1,4]=>[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,2,3,5,4,1]=>[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,2,4,1,3,5]=>[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,1,5,3]=>[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,3,1,5]=>[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,2,4,3,5,1]=>[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,2,4,5,1,3]=>[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,2,4,5,3,1]=>[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,2,5,1,3,4]=>[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,1,4]=>[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,2,5,3,4,1]=>[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,2,5,4,1,3]=>[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,3,1,2,4,5]=>[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,2,5,4]=>[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,4,2,5]=>[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,4,5,2]=>[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,5,2,4]=>[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,5,4,2]=>[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,1,4,5]=>[6,7,3,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,1,5,4]=>[6,7,3,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,4,1,5]=>[6,7,3,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,4,5,1]=>[6,7,3,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,5,4,1]=>[6,7,3,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,1,2,5]=>[6,7,3,5,1,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,3,4,1,5,2]=>[6,7,3,5,1,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,3,4,2,1,5]=>[6,7,3,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,3,4,2,5,1]=>[6,7,3,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,3,4,5,2,1]=>[6,7,3,5,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,3,5,1,2,4]=>[6,7,3,5,1,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,3,5,2,1,4]=>[6,7,3,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,3,5,2,4,1]=>[6,7,3,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,3,5,4,2,1]=>[6,7,3,5,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,4,1,2,3,5]=>[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,1,2,5,3]=>[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,1,3,2,5]=>[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,1,3,5,2]=>[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,1,5,2,3]=>[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,1,5,3,2]=>[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,2,1,3,5]=>[6,7,4,2,1,5,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,1,5,3]=>[6,7,4,2,1,5,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,3,1,5]=>[6,7,4,2,5,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,2,3,5,1]=>[6,7,4,2,5,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,4,2,5,1,3]=>[6,7,4,2,5,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,2,5,3,1]=>[6,7,4,2,5,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,4,3,1,2,5]=>[6,7,4,3,1,5,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,3,1,5,2]=>[6,7,4,3,1,5,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,4,3,2,5,1]=>[6,7,4,3,2,5,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,4,3,5,2,1]=>[6,7,4,3,5,2,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,4,5,1,2,3]=>[6,7,4,5,1,3,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,4,5,2,1,3]=>[6,7,4,5,2,1,3]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7)
[6,7,4,5,3,1,2]=>[6,7,4,5,3,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7)
[6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[6,7,5,1,2,3,4]=>[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,1,2,4,3]=>[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,1,3,2,4]=>[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,1,3,4,2]=>[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,1,4,2,3]=>[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,1,4,3,2]=>[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,2,1,3,4]=>[6,7,5,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,5,2,1,4,3]=>[6,7,5,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,5,2,3,1,4]=>[6,7,5,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,5,2,3,4,1]=>[6,7,5,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,5,2,4,1,3]=>[6,7,5,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,5,2,4,3,1]=>[6,7,5,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,5,3,1,2,4]=>[6,7,5,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,5,3,1,4,2]=>[6,7,5,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,5,3,4,1,2]=>[6,7,5,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7)
[6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[6,7,5,4,1,2,3]=>[6,7,5,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>([(5,6)],7)=>([(5,6)],7)
[7,1,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,3,4,6,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,3,5,4,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,3,5,6,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,3,6,4,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,3,6,5,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,4,3,5,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,4,3,6,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,4,5,3,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,4,5,6,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,4,6,3,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,4,6,5,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,5,3,4,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,5,3,6,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,5,4,3,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,5,4,6,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,5,6,3,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,5,6,4,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,6,3,4,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,6,3,5,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,6,4,3,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,6,4,5,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,6,5,3,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,6,5,4,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,2,4,5,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,2,4,6,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,2,5,4,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,2,5,6,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,2,6,4,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,2,6,5,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,4,2,5,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,4,2,6,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,4,5,2,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,4,5,6,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,4,6,2,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,4,6,5,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,5,2,4,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,5,2,6,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,5,4,2,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,5,4,6,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,5,6,2,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,5,6,4,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,6,2,4,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,6,2,5,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,6,4,2,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,6,4,5,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,6,5,2,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,3,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,2,3,5,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,2,3,6,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,2,5,3,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,2,5,6,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,2,6,3,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,2,6,5,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,3,2,5,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,3,2,6,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,3,5,2,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,3,5,6,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,3,6,2,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,3,6,5,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,5,2,3,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,5,2,6,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,5,3,2,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,5,3,6,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,5,6,2,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,5,6,3,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,6,2,3,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,6,2,5,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,6,3,2,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,6,3,5,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,6,5,2,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,4,6,5,3,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,2,3,4,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,2,3,6,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,2,4,3,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,2,4,6,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,2,6,3,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,2,6,4,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,3,2,4,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,3,2,6,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,3,4,2,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,3,4,6,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,3,6,2,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,3,6,4,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,4,2,3,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,4,2,6,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,4,3,2,6]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,4,3,6,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,4,6,2,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,4,6,3,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,6,2,3,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,6,2,4,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,6,3,2,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,6,3,4,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,6,4,2,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,5,6,4,3,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,2,3,4,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,2,3,5,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,2,4,3,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,2,4,5,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,2,5,3,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,2,5,4,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,3,2,4,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,3,2,5,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,3,4,2,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,3,4,5,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,3,5,2,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,3,5,4,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,4,2,3,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,4,2,5,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,4,3,2,5]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,4,3,5,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,4,5,2,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,4,5,3,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,2,3,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,2,4,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,3,2,4]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,3,4,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,4,2,3]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,3,4,5,6]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,3,4,6,5]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,3,5,4,6]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,3,5,6,4]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,3,6,4,5]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,3,6,5,4]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,4,3,5,6]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,4,3,6,5]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,4,5,3,6]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,4,5,6,3]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,4,6,3,5]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,4,6,5,3]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,5,3,4,6]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,5,3,6,4]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,5,4,3,6]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,5,4,6,3]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,5,6,3,4]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,5,6,4,3]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,6,3,4,5]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,6,3,5,4]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,6,4,3,5]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,6,4,5,3]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,6,5,3,4]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,6,5,4,3]=>[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,3,1,4,5,6]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,3,1,4,6,5]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,3,1,5,4,6]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,3,1,5,6,4]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,3,1,6,4,5]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,3,1,6,5,4]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,3,4,1,5,6]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,4,1,6,5]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,4,5,1,6]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,4,6,1,5]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,5,1,4,6]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,5,1,6,4]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,5,4,1,6]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,5,6,1,4]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,3,5,6,4,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,6,1,4,5]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,6,1,5,4]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,6,4,1,5]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,3,6,4,5,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,6,5,1,4]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,4,1,3,5,6]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,1,3,6,5]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,1,5,3,6]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,1,5,6,3]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,1,6,3,5]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,1,6,5,3]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,3,1,5,6]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,4,3,1,6,5]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,4,3,5,1,6]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,4,3,6,1,5]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,4,5,1,3,6]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,4,5,1,6,3]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,4,5,3,1,6]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,4,5,3,6,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,4,5,6,1,3]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,4,5,6,3,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,4,6,1,3,5]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,4,6,1,5,3]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,4,6,3,1,5]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,4,6,3,5,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,4,6,5,1,3]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,4,6,5,3,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,5,1,3,4,6]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,1,3,6,4]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,1,4,3,6]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,1,4,6,3]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,1,6,3,4]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,1,6,4,3]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,3,1,4,6]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,5,3,1,6,4]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,5,3,4,1,6]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,5,3,4,6,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,5,3,6,1,4]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,5,3,6,4,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,5,4,1,3,6]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,5,4,1,6,3]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,5,4,3,1,6]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,5,4,6,1,3]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,5,4,6,3,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,5,6,1,3,4]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,5,6,1,4,3]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,5,6,3,1,4]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,5,6,4,1,3]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,5,6,4,3,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,6,1,3,4,5]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,1,3,5,4]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,1,4,3,5]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,1,4,5,3]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,1,5,3,4]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,3,1,4,5]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,3,1,5,4]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,3,4,1,5]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,6,3,4,5,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,6,3,5,1,4]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,6,3,5,4,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,6,4,1,3,5]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,4,1,5,3]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,4,3,1,5]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,6,4,3,5,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,6,4,5,1,3]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,6,5,1,3,4]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,5,3,1,4]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,6,5,3,4,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,6,5,4,1,3]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,1,2,4,5,6]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,2,4,6,5]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,2,5,4,6]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,2,5,6,4]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,2,6,4,5]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,2,6,5,4]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,2,5,6]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,2,6,5]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,5,2,6]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,5,6,2]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,6,2,5]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,6,5,2]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,2,4,6]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,2,6,4]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,4,2,6]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,4,6,2]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,6,2,4]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,6,4,2]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,6,2,4,5]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,6,2,5,4]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,6,4,2,5]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,6,4,5,2]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,6,5,2,4]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,1,4,5,6]=>[7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,1,4,6,5]=>[7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,1,5,4,6]=>[7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,1,5,6,4]=>[7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,1,6,4,5]=>[7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,3,2,4,1,5,6]=>[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,4,1,6,5]=>[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,4,5,1,6]=>[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,4,6,1,5]=>[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,5,1,4,6]=>[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,5,1,6,4]=>[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,5,4,1,6]=>[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,5,6,1,4]=>[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,5,6,4,1]=>[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,6,1,4,5]=>[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,6,4,1,5]=>[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,6,4,5,1]=>[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,6,5,1,4]=>[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,2,5,6]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,2,6,5]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,5,2,6]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,5,6,2]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,6,2,5]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,6,5,2]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,2,1,5,6]=>[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,4,2,1,6,5]=>[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,4,2,5,1,6]=>[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,4,2,5,6,1]=>[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,4,2,6,1,5]=>[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,4,2,6,5,1]=>[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,4,5,1,2,6]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,4,5,1,6,2]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,4,5,2,1,6]=>[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,3,4,5,2,6,1]=>[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,3,4,5,6,1,2]=>[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,3,4,5,6,2,1]=>[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,3,4,6,1,2,5]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,4,6,1,5,2]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,4,6,2,1,5]=>[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,3,4,6,2,5,1]=>[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,3,4,6,5,1,2]=>[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,3,4,6,5,2,1]=>[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,3,5,1,2,4,6]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,1,2,6,4]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,1,4,2,6]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,1,4,6,2]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,1,6,2,4]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,1,6,4,2]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,2,1,4,6]=>[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,1,6,4]=>[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,4,1,6]=>[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,4,6,1]=>[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,6,1,4]=>[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,6,4,1]=>[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,4,1,2,6]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,5,4,1,6,2]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,5,4,2,1,6]=>[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,3,5,4,2,6,1]=>[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,3,5,4,6,1,2]=>[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,3,5,4,6,2,1]=>[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,3,5,6,1,2,4]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,5,6,1,4,2]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,5,6,2,1,4]=>[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,3,5,6,2,4,1]=>[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,3,5,6,4,1,2]=>[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,3,5,6,4,2,1]=>[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,3,6,1,2,4,5]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,2,5,4]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,4,2,5]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,4,5,2]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,5,2,4]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,2,1,4,5]=>[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,4,1,5]=>[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,4,5,1]=>[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,4,1,2,5]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,6,4,1,5,2]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,6,4,2,1,5]=>[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,3,6,4,2,5,1]=>[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,3,6,4,5,1,2]=>[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,3,6,4,5,2,1]=>[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,3,6,5,1,2,4]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,6,5,1,4,2]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,3,6,5,2,4,1]=>[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,4,1,2,3,5,6]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,2,3,6,5]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,2,5,3,6]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,2,5,6,3]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,2,6,3,5]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,2,6,5,3]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,3,2,5,6]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,3,2,6,5]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,3,5,2,6]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,3,5,6,2]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,3,6,2,5]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,3,6,5,2]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,2,3,6]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,2,6,3]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,3,2,6]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,3,6,2]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,6,2,3]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,6,3,2]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,6,2,3,5]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,6,2,5,3]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,6,3,2,5]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,6,3,5,2]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,6,5,2,3]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,1,3,5,6]=>[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,3,6,5]=>[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,5,3,6]=>[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,5,6,3]=>[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,6,3,5]=>[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,6,5,3]=>[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[7,4,2,3,1,6,5]=>[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,2,3,5,6,1]=>[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,3,6,1,5]=>[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,2,3,6,5,1]=>[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,5,1,3,6]=>[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[7,4,2,5,1,6,3]=>[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[7,4,2,5,3,1,6]=>[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,2,5,3,6,1]=>[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,5,6,1,3]=>[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,2,5,6,3,1]=>[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,6,1,3,5]=>[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[7,4,2,6,3,1,5]=>[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,2,6,3,5,1]=>[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,1,2,6,5]=>[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,1,5,2,6]=>[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,1,5,6,2]=>[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,1,6,2,5]=>[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,1,6,5,2]=>[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,3,5,1,6,2]=>[7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,5,2,6,1]=>[7,4,3,6,2,5,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,5,6,2,1]=>[7,4,3,6,5,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,1,2,5]=>[7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,5,1,2,6,3]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,5,1,3,2,6]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,5,1,3,6,2]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,5,1,6,2,3]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,5,1,6,3,2]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,5,2,1,6,3]=>[7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,4,5,2,6,1,3]=>[7,4,6,2,5,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,4,5,2,6,3,1]=>[7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,3,1,6,2]=>[7,4,6,3,1,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,4,5,3,2,6,1]=>[7,4,6,3,2,5,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[7,4,5,3,6,2,1]=>[7,4,6,3,5,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,4,5,6,1,3,2]=>[7,4,6,5,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,4,5,6,2,3,1]=>[7,4,6,5,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,4,5,6,3,2,1]=>[7,4,6,5,3,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[7,4,6,1,2,3,5]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,6,1,2,5,3]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,6,1,3,2,5]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,6,1,3,5,2]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,6,1,5,2,3]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,4,6,2,1,3,5]=>[7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,6,2,1,5,3]=>[7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,4,6,2,3,1,5]=>[7,4,6,2,5,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,4,6,2,3,5,1]=>[7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,4,6,3,1,2,5]=>[7,4,6,3,1,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,3,1,5,2]=>[7,4,6,3,1,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,3,2,1,5]=>[7,4,6,3,2,1,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,4,6,3,2,5,1]=>[7,4,6,3,2,5,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[7,4,6,3,5,2,1]=>[7,4,6,3,5,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,4,6,5,1,2,3]=>[7,4,6,5,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,4,6,5,1,3,2]=>[7,4,6,5,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,4,6,5,2,1,3]=>[7,4,6,5,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,4,6,5,2,3,1]=>[7,4,6,5,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,4,6,5,3,1,2]=>[7,4,6,5,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,2,3,6,4]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,2,4,3,6]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,2,4,6,3]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,2,6,3,4]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,2,6,4,3]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,3,2,4,6]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,3,2,6,4]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,3,4,2,6]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,3,4,6,2]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,3,6,2,4]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,3,6,4,2]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,4,2,3,6]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,4,2,6,3]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,4,3,2,6]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,4,3,6,2]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,4,6,2,3]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,4,6,3,2]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,6,2,3,4]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,6,2,4,3]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,6,3,2,4]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,6,3,4,2]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,6,4,2,3]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,1,6,4,3,2]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,1,3,6,4]=>[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,1,4,3,6]=>[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,1,4,6,3]=>[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,1,6,3,4]=>[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,1,6,4,3]=>[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,5,2,3,1,6,4]=>[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,3,4,6,1]=>[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,2,3,6,1,4]=>[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,3,6,4,1]=>[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,2,4,1,3,6]=>[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,5,2,4,1,6,3]=>[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,5,2,4,3,1,6]=>[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,4,3,6,1]=>[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,2,4,6,1,3]=>[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,4,6,3,1]=>[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,2,6,1,3,4]=>[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,5,2,6,1,4,3]=>[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,5,2,6,3,1,4]=>[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,6,3,4,1]=>[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,2,6,4,1,3]=>[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,2,6,4]=>[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,4,2,6]=>[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,4,6,2]=>[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,6,2,4]=>[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,6,4,2]=>[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,2,1,6,4]=>[7,5,3,2,1,6,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,2,4,6,1]=>[7,5,3,2,6,4,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,5,3,4,1,6,2]=>[7,5,3,6,1,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[7,5,3,4,6,2,1]=>[7,5,3,6,4,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,5,3,6,1,2,4]=>[7,5,3,6,1,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,5,3,6,1,4,2]=>[7,5,3,6,1,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,5,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,5,3,6,4,1,2]=>[7,5,3,6,4,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[7,5,3,6,4,2,1]=>[7,5,3,6,4,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,4,1,2,6,3]=>[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,4,1,3,2,6]=>[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,4,1,3,6,2]=>[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,4,1,6,2,3]=>[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,4,2,1,6,3]=>[7,5,4,2,1,6,3]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,5,4,2,3,6,1]=>[7,5,4,2,6,3,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,5,4,2,6,3,1]=>[7,5,4,2,6,3,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,4,3,1,6,2]=>[7,5,4,3,1,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,5,4,6,1,3,2]=>[7,5,4,6,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7)
[7,5,4,6,2,3,1]=>[7,5,4,6,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,5,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,1,2,4,3]=>[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,1,3,2,4]=>[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,1,3,4,2]=>[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,1,4,2,3]=>[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[7,5,6,2,3,4,1]=>[7,5,6,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[7,5,6,2,4,3,1]=>[7,5,6,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[7,5,6,3,1,4,2]=>[7,5,6,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7)
[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7)
[7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,5,6,4,1,3,2]=>[7,5,6,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[7,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>([(5,6)],7)=>([(5,6)],7)
[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,2,3,5,4]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,2,4,3,5]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,2,4,5,3]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,2,5,3,4]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,2,5,4,3]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,3,2,4,5]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,3,2,5,4]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,3,4,2,5]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,3,4,5,2]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,3,5,2,4]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,3,5,4,2]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,4,2,3,5]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,4,2,5,3]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,4,3,2,5]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,4,3,5,2]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,4,5,2,3]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,4,5,3,2]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,5,2,3,4]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,5,2,4,3]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,5,3,2,4]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,5,3,4,2]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,5,4,2,3]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,1,3,5,4]=>[7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,1,4,3,5]=>[7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,1,4,5,3]=>[7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,1,5,3,4]=>[7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,3,1,5,4]=>[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,2,3,4,5,1]=>[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,2,3,5,1,4]=>[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,2,3,5,4,1]=>[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,2,4,1,3,5]=>[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,4,1,5,3]=>[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,4,3,1,5]=>[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,2,4,3,5,1]=>[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,2,4,5,1,3]=>[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,2,4,5,3,1]=>[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,2,5,1,3,4]=>[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,5,1,4,3]=>[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,2,5,3,1,4]=>[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,2,5,3,4,1]=>[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,2,5,4,1,3]=>[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,1,2,5,4]=>[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,1,4,2,5]=>[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,1,4,5,2]=>[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,1,5,2,4]=>[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,1,5,4,2]=>[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,2,4,5,1]=>[7,6,3,2,5,4,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,2,5,1,4]=>[7,6,3,2,5,1,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,3,4,1,5,2]=>[7,6,3,5,1,4,2]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,3,4,2,5,1]=>[7,6,3,5,2,4,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[7,6,3,5,1,2,4]=>[7,6,3,5,1,4,2]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,3,5,2,1,4]=>[7,6,3,5,2,1,4]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,6,3,5,4,1,2]=>[7,6,3,5,4,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,1,2,5,3]=>[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,1,3,2,5]=>[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,1,3,5,2]=>[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,1,5,2,3]=>[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,1,5,3,2]=>[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,4,2,1,5,3]=>[7,6,4,2,1,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,4,2,3,5,1]=>[7,6,4,2,5,3,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,6,4,2,5,1,3]=>[7,6,4,2,5,1,3]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,4,2,5,3,1]=>[7,6,4,2,5,3,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,3,1,5,2]=>[7,6,4,3,1,5,2]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,4,3,2,5,1]=>[7,6,4,3,2,5,1]=>([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,6,4,5,1,3,2]=>[7,6,4,5,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7)
[7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>([(5,6)],7)=>([(5,6)],7)
[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,5,1,2,4,3]=>[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,5,1,3,2,4]=>[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,5,1,3,4,2]=>[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,5,1,4,2,3]=>[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7)
[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7)
[7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7)
[7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>([(5,6)],7)=>([(5,6)],7)
[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7)
[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7)
[7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>([(5,6)],7)=>([(5,6)],7)
[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>([(5,6)],7)=>([(5,6)],7)
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>([],7)=>([],7)
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
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
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Map
to graph
Description
Returns the Hasse diagram of the poset as an undirected graph.
searching the database
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