Identifier
Mp00126: Permutations cactus evacuationPermutations
Mp00160: Permutations graph of inversionsGraphs
Mp00154: Graphs core Graphs
Images
=>
Cc0020;cc-rep-2Cc0020;cc-rep-3
[1]=>[1]=>([],1)=>([],1) [1,2]=>[1,2]=>([],2)=>([],1) [2,1]=>[2,1]=>([(0,1)],2)=>([(0,1)],2) [1,2,3]=>[1,2,3]=>([],3)=>([],1) [1,3,2]=>[3,1,2]=>([(0,2),(1,2)],3)=>([(0,1)],2) [2,1,3]=>[2,3,1]=>([(0,2),(1,2)],3)=>([(0,1)],2) [2,3,1]=>[2,1,3]=>([(1,2)],3)=>([(0,1)],2) [3,1,2]=>[1,3,2]=>([(1,2)],3)=>([(0,1)],2) [3,2,1]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3) [1,2,3,4]=>[1,2,3,4]=>([],4)=>([],1) [1,2,4,3]=>[4,1,2,3]=>([(0,3),(1,3),(2,3)],4)=>([(0,1)],2) [1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)=>([(0,1)],2) [1,3,4,2]=>[3,1,2,4]=>([(1,3),(2,3)],4)=>([(0,1)],2) [1,4,2,3]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>([(0,1)],2) [1,4,3,2]=>[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [2,1,3,4]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>([(0,1)],2) [2,1,4,3]=>[2,1,4,3]=>([(0,3),(1,2)],4)=>([(0,1)],2) [2,3,1,4]=>[2,3,1,4]=>([(1,3),(2,3)],4)=>([(0,1)],2) [2,3,4,1]=>[2,1,3,4]=>([(2,3)],4)=>([(0,1)],2) [2,4,1,3]=>[2,4,1,3]=>([(0,3),(1,2),(2,3)],4)=>([(0,1)],2) [2,4,3,1]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [3,1,2,4]=>[1,3,4,2]=>([(1,3),(2,3)],4)=>([(0,1)],2) [3,1,4,2]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>([(0,1)],2) [3,2,1,4]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [3,2,4,1]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [3,4,1,2]=>[3,4,1,2]=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,1)],2) [3,4,2,1]=>[3,2,1,4]=>([(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [4,1,2,3]=>[1,2,4,3]=>([(2,3)],4)=>([(0,1)],2) [4,1,3,2]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [4,2,1,3]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [4,2,3,1]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [4,3,1,2]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3) [4,3,2,1]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>([],1) [1,2,3,5,4]=>[5,1,2,3,4]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,1)],2) [1,2,4,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>([(0,1)],2) [1,2,4,5,3]=>[4,1,2,3,5]=>([(1,4),(2,4),(3,4)],5)=>([(0,1)],2) [1,2,5,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>([(0,1)],2) [1,2,5,4,3]=>[5,4,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,3,2,4,5]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>([(0,1)],2) [1,3,2,5,4]=>[3,1,5,2,4]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,1)],2) [1,3,4,2,5]=>[1,3,2,4,5]=>([(3,4)],5)=>([(0,1)],2) [1,3,4,5,2]=>[3,1,2,4,5]=>([(2,4),(3,4)],5)=>([(0,1)],2) [1,3,5,2,4]=>[3,5,1,2,4]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,1)],2) [1,3,5,4,2]=>[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,4,2,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>([(0,1)],2) [1,4,2,5,3]=>[4,1,5,2,3]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,1)],2) [1,4,3,2,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,4,3,5,2]=>[4,1,3,2,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,4,5,2,3]=>[4,5,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2) [1,4,5,3,2]=>[4,3,1,2,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,5,2,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>([(0,1)],2) [1,5,2,4,3]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,5,3,2,4]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,5,3,4,2]=>[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,5,4,2,3]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [1,5,4,3,2]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,1,3,4,5]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,1)],2) [2,1,3,5,4]=>[2,1,3,5,4]=>([(1,4),(2,3)],5)=>([(0,1)],2) [2,1,4,3,5]=>[2,4,1,5,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,1)],2) [2,1,4,5,3]=>[2,1,4,5,3]=>([(0,1),(2,4),(3,4)],5)=>([(0,1)],2) [2,1,5,3,4]=>[2,3,1,5,4]=>([(0,1),(2,4),(3,4)],5)=>([(0,1)],2) [2,1,5,4,3]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,3,1,4,5]=>[2,3,4,1,5]=>([(1,4),(2,4),(3,4)],5)=>([(0,1)],2) [2,3,1,5,4]=>[2,1,5,3,4]=>([(0,1),(2,4),(3,4)],5)=>([(0,1)],2) [2,3,4,1,5]=>[2,3,1,4,5]=>([(2,4),(3,4)],5)=>([(0,1)],2) [2,3,4,5,1]=>[2,1,3,4,5]=>([(3,4)],5)=>([(0,1)],2) [2,3,5,1,4]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,1)],2) [2,3,5,4,1]=>[5,2,1,3,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,4,1,3,5]=>[2,4,5,1,3]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,1)],2) [2,4,1,5,3]=>[2,1,4,3,5]=>([(1,4),(2,3)],5)=>([(0,1)],2) [2,4,3,1,5]=>[2,4,3,1,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,4,3,5,1]=>[4,2,3,1,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,4,5,1,3]=>[2,4,1,3,5]=>([(1,4),(2,3),(3,4)],5)=>([(0,1)],2) [2,4,5,3,1]=>[4,2,1,3,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,5,1,3,4]=>[2,3,5,1,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,1)],2) [2,5,1,4,3]=>[5,2,4,1,3]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,5,3,1,4]=>[2,5,3,1,4]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,5,3,4,1]=>[5,2,3,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,5,4,1,3]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [2,5,4,3,1]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,1,2,4,5]=>[1,3,4,5,2]=>([(1,4),(2,4),(3,4)],5)=>([(0,1)],2) [3,1,2,5,4]=>[3,1,2,5,4]=>([(0,1),(2,4),(3,4)],5)=>([(0,1)],2) [3,1,4,2,5]=>[3,4,1,5,2]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,1)],2) [3,1,4,5,2]=>[3,1,4,5,2]=>([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,1)],2) [3,1,5,2,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>([(0,1)],2) [3,1,5,4,2]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,2,1,4,5]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,2,1,5,4]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,2,4,1,5]=>[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,2,4,5,1]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,2,5,1,4]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,2,5,4,1]=>[3,2,1,5,4]=>([(0,1),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,4,1,2,5]=>[3,4,5,1,2]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2) [3,4,1,5,2]=>[3,1,4,2,5]=>([(1,4),(2,3),(3,4)],5)=>([(0,1)],2) [3,4,2,1,5]=>[3,4,2,1,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,4,2,5,1]=>[3,2,4,1,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,4,5,1,2]=>[3,4,1,2,5]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2) [3,4,5,2,1]=>[3,2,1,4,5]=>([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,5,1,2,4]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>([(0,1)],2) [3,5,1,4,2]=>[5,3,4,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,5,2,1,4]=>[3,5,2,1,4]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,5,2,4,1]=>[3,2,5,1,4]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,5,4,1,2]=>[3,5,4,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1),(0,2),(1,2)],3) [3,5,4,2,1]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,1,2,3,5]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>([(0,1)],2) [4,1,2,5,3]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,1)],2) [4,1,3,2,5]=>[1,4,3,5,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,1,3,5,2]=>[4,1,3,5,2]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,1,5,2,3]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>([(0,1)],2) [4,1,5,3,2]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,2,1,3,5]=>[2,4,5,3,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,2,1,5,3]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,2,3,1,5]=>[2,4,3,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,2,3,5,1]=>[4,2,3,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,2,5,1,3]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,2,5,3,1]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,3,1,2,5]=>[1,4,5,3,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,3,1,5,2]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,3,2,1,5]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,2,5,1]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,5,1,2]=>[4,5,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,3,5,2,1]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,5,1,2,3]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2) [4,5,1,3,2]=>[4,3,5,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,5,2,1,3]=>[4,5,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,5,2,3,1]=>[4,2,5,1,3]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,5,3,1,2]=>[4,5,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [4,5,3,2,1]=>[4,3,2,1,5]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,1,2,3,4]=>[1,2,3,5,4]=>([(3,4)],5)=>([(0,1)],2) [5,1,2,4,3]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,1,3,2,4]=>[1,5,3,4,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,1,3,4,2]=>[5,1,3,4,2]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,1,4,2,3]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,1,4,3,2]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,2,1,3,4]=>[2,3,5,4,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,2,1,4,3]=>[2,1,5,4,3]=>([(0,1),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,2,3,1,4]=>[2,5,3,4,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,2,3,4,1]=>[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,2,4,1,3]=>[2,5,1,4,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,2,4,3,1]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,1,2,4]=>[1,3,5,4,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,3,1,4,2]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,3,2,1,4]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,2,4,1]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,4,1,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,3,4,2,1]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,1,2,3]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3) [5,4,1,3,2]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,2,1,3]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,2,3,1]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,3,1,2]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,3,2,1]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>([],1) [1,2,3,4,6,5]=>[6,1,2,3,4,5]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [1,2,3,5,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [1,2,3,5,6,4]=>[5,1,2,3,4,6]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [1,2,3,6,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [1,2,3,6,5,4]=>[6,5,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>([(0,1)],2) [1,2,4,3,6,5]=>[4,1,6,2,3,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [1,2,4,5,3,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>([(0,1)],2) [1,2,4,5,6,3]=>[4,1,2,3,5,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [1,2,4,6,3,5]=>[4,6,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [1,2,4,6,5,3]=>[6,4,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>([(0,1)],2) [1,2,5,3,6,4]=>[5,1,6,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [1,2,5,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,5,4,6,3]=>[5,1,4,2,3,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,5,6,3,4]=>[5,6,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [1,2,5,6,4,3]=>[5,4,1,2,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [1,2,6,3,5,4]=>[6,1,5,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,6,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,6,4,5,3]=>[6,1,4,2,3,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,6,5,3,4]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,2,6,5,4,3]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,3,2,4,5,6]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [1,3,2,4,6,5]=>[3,1,2,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,1)],2) [1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>([(0,1)],2) [1,3,2,5,6,4]=>[3,1,2,5,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [1,3,2,6,5,4]=>[6,3,1,5,2,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,4,2,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>([(0,1)],2) [1,3,4,2,6,5]=>[3,1,6,2,4,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,1)],2) [1,3,4,5,2,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>([(0,1)],2) [1,3,4,5,6,2]=>[3,1,2,4,5,6]=>([(3,5),(4,5)],6)=>([(0,1)],2) [1,3,4,6,2,5]=>[3,6,1,2,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [1,3,4,6,5,2]=>[6,3,1,2,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,5,2,4,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [1,3,5,2,6,4]=>[3,1,5,2,4,6]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,1)],2) [1,3,5,4,2,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,5,4,6,2]=>[5,1,3,2,4,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,5,6,2,4]=>[3,5,1,2,4,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [1,3,5,6,4,2]=>[5,3,1,2,4,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,6,2,4,5]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [1,3,6,2,5,4]=>[6,3,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,6,4,2,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,6,4,5,2]=>[6,1,3,2,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,6,5,2,4]=>[3,6,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,3,6,5,4,2]=>[6,5,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,4,2,3,5,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>([(0,1)],2) [1,4,2,3,6,5]=>[4,1,2,6,3,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,1)],2) [1,4,2,5,3,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [1,4,2,5,6,3]=>[4,1,2,5,3,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [1,4,2,6,3,5]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,1)],2) [1,4,2,6,5,3]=>[6,4,1,5,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,3,2,5,6]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,3,2,6,5]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,3,5,2,6]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,3,5,6,2]=>[4,1,3,5,2,6]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,3,6,2,5]=>[4,6,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,3,6,5,2]=>[4,3,1,6,2,5]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,5,2,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [1,4,5,2,6,3]=>[4,1,5,2,3,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [1,4,5,3,2,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,5,3,6,2]=>[4,1,3,2,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,5,6,2,3]=>[4,5,1,2,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [1,4,5,6,3,2]=>[4,3,1,2,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,6,2,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [1,4,6,2,5,3]=>[6,4,5,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,6,3,2,5]=>[4,6,3,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,6,3,5,2]=>[4,3,6,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,6,5,2,3]=>[4,6,5,1,2,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,4,6,5,3,2]=>[6,4,3,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,5,2,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>([(0,1)],2) [1,5,2,3,6,4]=>[5,1,2,6,3,4]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [1,5,2,4,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,2,4,6,3]=>[5,1,2,4,3,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,2,6,3,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [1,5,2,6,4,3]=>[5,4,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,3,2,4,6]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,3,2,6,4]=>[5,1,6,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,3,4,2,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,3,4,6,2]=>[5,1,3,4,2,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,3,6,2,4]=>[5,6,1,3,2,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,3,6,4,2]=>[5,3,1,6,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,4,2,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,4,2,6,3]=>[5,1,6,4,2,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,4,3,2,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,5,4,3,6,2]=>[5,1,4,3,2,6]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,5,4,6,2,3]=>[5,6,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,4,6,3,2]=>[5,4,1,3,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,5,6,2,3,4]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [1,5,6,2,4,3]=>[5,4,6,1,2,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,6,3,2,4]=>[5,6,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,6,3,4,2]=>[5,3,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,6,4,2,3]=>[5,6,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,5,6,4,3,2]=>[5,4,3,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,2,3,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>([(0,1)],2) [1,6,2,3,5,4]=>[6,1,2,5,3,4]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,2,4,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,2,4,5,3]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,2,5,3,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,2,5,4,3]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,3,2,4,5]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,3,2,5,4]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,3,4,2,5]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,3,4,5,2]=>[6,1,3,4,2,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,3,5,2,4]=>[3,6,1,5,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,3,5,4,2]=>[6,5,1,3,2,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,4,2,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,4,2,5,3]=>[4,1,6,5,2,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,4,3,2,5]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,4,3,5,2]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,4,5,2,3]=>[4,6,1,5,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,4,5,3,2]=>[6,4,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,5,2,3,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [1,6,5,2,4,3]=>[6,1,5,4,2,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,5,3,2,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,5,3,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,5,4,2,3]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,6,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [2,1,3,4,5,6]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [2,1,3,4,6,5]=>[2,1,3,4,6,5]=>([(2,5),(3,4)],6)=>([(0,1)],2) [2,1,3,5,4,6]=>[2,3,1,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,1)],2) [2,1,3,5,6,4]=>[2,1,3,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [2,1,3,6,4,5]=>[2,3,1,4,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [2,1,3,6,5,4]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,4,3,5,6]=>[2,4,5,1,6,3]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [2,1,4,3,6,5]=>[2,1,4,3,6,5]=>([(0,5),(1,4),(2,3)],6)=>([(0,1)],2) [2,1,4,5,3,6]=>[2,4,1,5,6,3]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,1)],2) [2,1,4,5,6,3]=>[2,1,4,5,6,3]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [2,1,4,6,3,5]=>[2,4,1,3,6,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [2,1,4,6,5,3]=>[6,2,1,4,5,3]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,5,3,4,6]=>[2,3,5,1,6,4]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,1)],2) [2,1,5,3,6,4]=>[2,1,5,3,6,4]=>([(0,1),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [2,1,5,4,3,6]=>[2,5,4,1,6,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,5,4,6,3]=>[5,2,4,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,5,6,3,4]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1)],2) [2,1,5,6,4,3]=>[5,2,1,4,6,3]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,6,3,4,5]=>[2,3,4,1,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [2,1,6,3,5,4]=>[6,2,3,1,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,6,4,3,5]=>[2,6,4,1,5,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,6,4,5,3]=>[6,2,4,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,6,5,3,4]=>[2,6,3,1,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,1,6,5,4,3]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,3,1,4,5,6]=>[2,3,4,5,1,6]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [2,3,1,4,6,5]=>[2,1,3,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [2,3,1,5,4,6]=>[2,3,1,5,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [2,3,1,5,6,4]=>[2,1,3,5,4,6]=>([(2,5),(3,4)],6)=>([(0,1)],2) [2,3,1,6,4,5]=>[2,3,1,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,1)],2) [2,3,1,6,5,4]=>[6,2,1,5,3,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,4,1,5,6]=>[2,3,4,1,5,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [2,3,4,1,6,5]=>[2,1,6,3,4,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [2,3,4,5,1,6]=>[2,3,1,4,5,6]=>([(3,5),(4,5)],6)=>([(0,1)],2) [2,3,4,5,6,1]=>[2,1,3,4,5,6]=>([(4,5)],6)=>([(0,1)],2) [2,3,4,6,1,5]=>[2,6,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [2,3,4,6,5,1]=>[6,2,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,5,1,4,6]=>[2,3,5,1,4,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [2,3,5,1,6,4]=>[2,1,5,3,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [2,3,5,4,1,6]=>[2,5,3,1,4,6]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,5,4,6,1]=>[5,2,3,1,4,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,5,6,1,4]=>[2,5,1,3,4,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [2,3,5,6,4,1]=>[5,2,1,3,4,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,6,1,4,5]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,1)],2) [2,3,6,1,5,4]=>[6,2,5,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,6,4,1,5]=>[2,6,3,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,6,4,5,1]=>[6,2,3,1,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,6,5,1,4]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,3,6,5,4,1]=>[6,5,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,4,1,3,5,6]=>[2,4,5,6,1,3]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [2,4,1,3,6,5]=>[2,1,4,6,3,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [2,4,1,5,3,6]=>[2,4,1,5,3,6]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,1)],2) [2,4,1,5,6,3]=>[2,1,4,5,3,6]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [2,4,1,6,3,5]=>[2,4,1,6,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,1)],2) [2,4,1,6,5,3]=>[6,2,1,4,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,3,1,5,6]=>[2,4,5,3,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,3,1,6,5]=>[4,2,6,3,1,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,3,5,1,6]=>[2,4,3,5,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,3,5,6,1]=>[4,2,3,5,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,3,6,1,5]=>[4,6,2,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,3,6,5,1]=>[4,2,1,6,3,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,5,1,3,6]=>[2,4,5,1,3,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [2,4,5,1,6,3]=>[2,1,4,3,5,6]=>([(2,5),(3,4)],6)=>([(0,1)],2) [2,4,5,3,1,6]=>[2,4,3,1,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,5,3,6,1]=>[4,2,3,1,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,5,6,1,3]=>[2,4,1,3,5,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [2,4,5,6,3,1]=>[4,2,1,3,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,6,1,3,5]=>[2,4,6,1,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [2,4,6,1,5,3]=>[6,2,4,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,6,3,1,5]=>[4,6,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,6,3,5,1]=>[4,2,6,1,3,5]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,6,5,1,3]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,4,6,5,3,1]=>[6,4,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,5,1,3,4,6]=>[2,3,5,6,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [2,5,1,3,6,4]=>[2,1,5,6,3,4]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [2,5,1,4,3,6]=>[2,5,4,6,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,1,4,6,3]=>[5,2,4,6,1,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,1,6,3,4]=>[2,5,1,6,3,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [2,5,1,6,4,3]=>[5,2,1,4,3,6]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,3,1,4,6]=>[2,3,5,4,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,3,1,6,4]=>[5,2,6,3,1,4]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,3,4,1,6]=>[2,5,3,4,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,3,4,6,1]=>[5,2,3,4,1,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,3,6,1,4]=>[5,6,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,3,6,4,1]=>[5,2,1,6,3,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,4,1,3,6]=>[2,5,6,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,4,1,6,3]=>[2,1,5,4,3,6]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,4,3,1,6]=>[2,5,4,3,1,6]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,5,4,3,6,1]=>[5,2,4,3,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,5,4,6,1,3]=>[2,5,1,4,3,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,4,6,3,1]=>[5,4,2,3,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,5,6,1,3,4]=>[2,5,6,1,3,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [2,5,6,1,4,3]=>[5,2,4,1,3,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,6,3,1,4]=>[5,6,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,6,3,4,1]=>[5,2,6,1,3,4]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,6,4,1,3]=>[2,5,4,1,3,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,5,6,4,3,1]=>[5,4,2,1,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,1,3,4,5]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [2,6,1,3,5,4]=>[6,2,3,5,1,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,1,4,3,5]=>[2,6,4,5,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,1,4,5,3]=>[6,2,4,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,1,5,3,4]=>[2,6,3,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,1,5,4,3]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,3,1,4,5]=>[2,3,6,4,1,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,3,1,5,4]=>[2,1,6,5,3,4]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,3,4,1,5]=>[2,6,3,4,1,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,3,4,5,1]=>[6,2,3,4,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,3,5,1,4]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,3,5,4,1]=>[6,5,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,4,1,3,5]=>[2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,4,1,5,3]=>[2,1,6,4,3,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,4,3,1,5]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,4,3,5,1]=>[6,2,4,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,4,5,1,3]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,4,5,3,1]=>[6,4,2,3,1,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,5,1,3,4]=>[2,3,6,5,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [2,6,5,1,4,3]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,5,3,1,4]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,5,3,4,1]=>[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,5,4,1,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [2,6,5,4,3,1]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [3,1,2,4,5,6]=>[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [3,1,2,4,6,5]=>[3,1,2,4,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [3,1,2,5,4,6]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [3,1,2,5,6,4]=>[3,1,2,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,1)],2) [3,1,2,6,4,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>([(0,1)],2) [3,1,2,6,5,4]=>[6,3,1,2,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,4,2,5,6]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [3,1,4,2,6,5]=>[3,1,4,2,6,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [3,1,4,5,2,6]=>[3,4,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [3,1,4,5,6,2]=>[3,1,4,5,6,2]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [3,1,4,6,2,5]=>[3,4,1,2,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [3,1,4,6,5,2]=>[6,3,1,4,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,5,2,4,6]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,1)],2) [3,1,5,2,6,4]=>[3,1,5,2,6,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,1)],2) [3,1,5,4,2,6]=>[3,5,4,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,5,4,6,2]=>[5,3,4,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,5,6,2,4]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [3,1,5,6,4,2]=>[5,3,1,4,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,6,2,4,5]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [3,1,6,2,5,4]=>[6,1,3,2,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,6,4,2,5]=>[3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,6,4,5,2]=>[6,3,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,6,5,2,4]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,1,6,5,4,2]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,2,1,4,5,6]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,1,4,6,5]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,1,5,4,6]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,1,5,6,4]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,1,6,4,5]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,1,6,5,4]=>[3,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,4,1,5,6]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,4,1,6,5]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,4,5,1,6]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,4,5,6,1]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,4,6,1,5]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,4,6,5,1]=>[3,2,1,4,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,5,1,4,6]=>[3,5,6,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,5,1,6,4]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,5,4,1,6]=>[3,5,2,1,6,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,5,4,6,1]=>[3,2,5,1,6,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,5,6,1,4]=>[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,5,6,4,1]=>[3,2,1,5,6,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,6,1,4,5]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,6,1,5,4]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,6,4,1,5]=>[3,4,2,1,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,6,4,5,1]=>[3,2,4,1,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,6,5,1,4]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,2,6,5,4,1]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,4,1,2,5,6]=>[3,4,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [3,4,1,2,6,5]=>[3,1,4,6,2,5]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1)],2) [3,4,1,5,2,6]=>[3,4,1,5,2,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [3,4,1,5,6,2]=>[3,1,4,5,2,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [3,4,1,6,2,5]=>[3,4,1,6,2,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [3,4,1,6,5,2]=>[6,3,1,4,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,2,1,5,6]=>[3,4,5,2,1,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,2,1,6,5]=>[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,2,5,1,6]=>[3,4,2,5,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,2,5,6,1]=>[3,2,4,5,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,2,6,1,5]=>[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,2,6,5,1]=>[3,2,1,6,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,5,1,2,6]=>[3,4,5,1,2,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [3,4,5,1,6,2]=>[3,1,4,2,5,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [3,4,5,2,1,6]=>[3,4,2,1,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,5,2,6,1]=>[3,2,4,1,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,5,6,1,2]=>[3,4,1,2,5,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [3,4,5,6,2,1]=>[3,2,1,4,5,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,6,1,2,5]=>[3,4,6,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [3,4,6,1,5,2]=>[6,3,4,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,6,2,1,5]=>[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,6,2,5,1]=>[3,2,6,1,4,5]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,6,5,1,2]=>[3,6,4,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,4,6,5,2,1]=>[6,3,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,5,1,2,4,6]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [3,5,1,2,6,4]=>[3,1,5,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [3,5,1,4,2,6]=>[3,5,4,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,1,4,6,2]=>[5,3,4,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,1,6,2,4]=>[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,1)],2) [3,5,1,6,4,2]=>[5,3,1,4,2,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,2,1,4,6]=>[3,5,6,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,2,1,6,4]=>[3,2,5,4,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,2,4,1,6]=>[3,5,2,6,1,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,2,4,6,1]=>[3,2,5,6,1,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,2,6,1,4]=>[3,5,2,4,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,2,6,4,1]=>[3,2,1,5,4,6]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,4,1,2,6]=>[3,5,6,4,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,4,1,6,2]=>[3,1,5,4,2,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,4,2,1,6]=>[3,5,4,2,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,5,4,2,6,1]=>[5,3,4,2,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,5,4,6,1,2]=>[3,5,1,4,2,6]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,4,6,2,1]=>[5,3,2,4,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,5,6,1,2,4]=>[3,5,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [3,5,6,1,4,2]=>[5,3,4,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,6,2,1,4]=>[3,5,2,1,4,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,6,2,4,1]=>[3,2,5,1,4,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,6,4,1,2]=>[3,5,4,1,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,5,6,4,2,1]=>[5,3,2,1,4,6]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,1,2,4,5]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [3,6,1,2,5,4]=>[6,1,3,5,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,1,4,2,5]=>[3,6,4,5,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,1,4,5,2]=>[6,3,4,5,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,1,5,2,4]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,1,5,4,2]=>[6,5,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,2,1,4,5]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,2,1,5,4]=>[3,2,6,5,1,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,2,4,1,5]=>[3,4,2,6,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,2,4,5,1]=>[3,2,4,6,1,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,2,5,1,4]=>[3,6,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,2,5,4,1]=>[6,3,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,4,1,2,5]=>[3,4,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,4,1,5,2]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,4,2,1,5]=>[3,6,4,2,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,4,2,5,1]=>[6,3,4,2,1,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,4,5,1,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,4,5,2,1]=>[6,3,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,5,1,2,4]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [3,6,5,1,4,2]=>[6,3,5,4,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,5,2,1,4]=>[3,6,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,5,2,4,1]=>[6,3,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,5,4,1,2]=>[3,6,5,4,1,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [3,6,5,4,2,1]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [4,1,2,3,5,6]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [4,1,2,3,6,5]=>[4,1,2,3,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([(0,1)],2) [4,1,2,5,3,6]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [4,1,2,5,6,3]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,1)],2) [4,1,2,6,3,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,1)],2) [4,1,2,6,5,3]=>[6,4,1,2,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,3,2,5,6]=>[1,4,5,3,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,3,2,6,5]=>[4,1,6,3,5,2]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,3,5,2,6]=>[1,4,3,5,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,3,5,6,2]=>[4,1,3,5,6,2]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,3,6,2,5]=>[4,6,1,3,5,2]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,3,6,5,2]=>[4,3,1,2,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,5,2,3,6]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [4,1,5,2,6,3]=>[4,1,5,2,6,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [4,1,5,3,2,6]=>[4,5,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,5,3,6,2]=>[4,3,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,5,6,2,3]=>[4,5,1,2,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [4,1,5,6,3,2]=>[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,6,2,3,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>([(0,1)],2) [4,1,6,2,5,3]=>[6,1,4,2,5,3]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,6,3,2,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,6,3,5,2]=>[4,1,3,2,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,6,5,2,3]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,1,6,5,3,2]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,2,1,3,5,6]=>[2,4,5,6,3,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,1,3,6,5]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,1,5,3,6]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,1,5,6,3]=>[4,2,5,6,3,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,1,6,3,5]=>[2,4,3,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,1,6,5,3]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,3,1,5,6]=>[2,4,5,3,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,3,1,6,5]=>[4,2,6,3,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,3,5,1,6]=>[2,4,3,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,3,5,6,1]=>[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,3,6,1,5]=>[4,6,2,3,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,3,6,5,1]=>[4,2,1,3,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,5,1,3,6]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,5,1,6,3]=>[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,5,3,1,6]=>[4,5,2,1,6,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,5,3,6,1]=>[4,2,5,1,6,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,5,6,1,3]=>[4,5,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,5,6,3,1]=>[4,2,1,5,6,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,6,1,3,5]=>[2,4,6,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,6,1,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,6,3,1,5]=>[2,4,3,1,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,6,3,5,1]=>[4,2,3,1,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,6,5,1,3]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,2,6,5,3,1]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,1,2,5,6]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,1,2,6,5]=>[4,1,3,6,5,2]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,1,5,2,6]=>[4,5,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,1,5,6,2]=>[4,1,5,6,3,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,1,6,2,5]=>[1,4,3,6,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,1,6,5,2]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,2,1,5,6]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,2,1,6,5]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,2,5,1,6]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,2,5,6,1]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,2,6,1,5]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,2,6,5,1]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,5,1,2,6]=>[4,5,6,1,3,2]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,5,1,6,2]=>[4,1,5,3,6,2]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,5,2,1,6]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,5,2,6,1]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,5,6,1,2]=>[4,5,1,3,6,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,5,6,2,1]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,6,1,2,5]=>[1,4,6,3,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,6,1,5,2]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,6,2,1,5]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,6,2,5,1]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,3,6,5,1,2]=>[4,6,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,3,6,5,2,1]=>[4,3,2,1,6,5]=>([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,5,1,2,3,6]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [4,5,1,2,6,3]=>[4,1,5,6,2,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2) [4,5,1,3,2,6]=>[4,5,3,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,1,3,6,2]=>[4,3,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,1,6,2,3]=>[4,5,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [4,5,1,6,3,2]=>[4,3,1,5,2,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,2,1,3,6]=>[4,5,6,2,1,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,2,1,6,3]=>[4,2,5,3,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,2,3,1,6]=>[4,5,2,6,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,2,3,6,1]=>[4,2,5,6,1,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,2,6,1,3]=>[4,5,2,3,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,2,6,3,1]=>[4,2,1,5,3,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,3,1,2,6]=>[4,5,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,3,1,6,2]=>[4,1,5,3,2,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,3,2,1,6]=>[4,5,3,2,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,5,3,2,6,1]=>[4,3,5,2,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,5,3,6,1,2]=>[4,5,1,3,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,3,6,2,1]=>[4,3,2,5,1,6]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,5,6,1,2,3]=>[4,5,6,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2) [4,5,6,1,3,2]=>[4,3,5,1,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,6,2,1,3]=>[4,5,2,1,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,6,2,3,1]=>[4,2,5,1,3,6]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,6,3,1,2]=>[4,5,3,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,5,6,3,2,1]=>[4,3,2,1,5,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,1,2,3,5]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [4,6,1,2,5,3]=>[6,1,4,5,2,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,1,3,2,5]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,1,3,5,2]=>[4,1,3,6,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,1,5,2,3]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,1,5,3,2]=>[6,4,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,2,1,3,5]=>[2,4,6,3,1,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,2,1,5,3]=>[4,2,6,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,2,3,1,5]=>[2,4,3,6,1,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,2,3,5,1]=>[4,2,3,6,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,2,5,1,3]=>[4,6,2,5,1,3]=>([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,2,5,3,1]=>[6,4,2,5,1,3]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,3,1,2,5]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,3,1,5,2]=>[4,3,6,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,3,2,1,5]=>[4,6,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,3,2,5,1]=>[4,3,6,2,1,5]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,3,5,1,2]=>[4,6,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,3,5,2,1]=>[4,3,2,6,1,5]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,5,1,2,3]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [4,6,5,1,3,2]=>[6,4,5,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,5,2,1,3]=>[4,6,5,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,5,2,3,1]=>[6,4,5,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,5,3,1,2]=>[4,6,5,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [4,6,5,3,2,1]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [5,1,2,3,4,6]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>([(0,1)],2) [5,1,2,3,6,4]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [5,1,2,4,3,6]=>[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,2,4,6,3]=>[5,1,2,4,6,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,2,6,3,4]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [5,1,2,6,4,3]=>[5,4,1,2,6,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,3,2,4,6]=>[1,3,5,4,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,3,2,6,4]=>[5,1,6,3,4,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,3,4,2,6]=>[1,5,3,4,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,3,4,6,2]=>[5,1,3,4,6,2]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,3,6,2,4]=>[5,6,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,3,6,4,2]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,4,2,3,6]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,4,2,6,3]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,4,3,2,6]=>[1,5,4,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,1,4,3,6,2]=>[5,1,4,3,6,2]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,1,4,6,2,3]=>[5,6,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,4,6,3,2]=>[5,4,1,3,6,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,1,6,2,3,4]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2) [5,1,6,2,4,3]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,6,3,2,4]=>[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,6,3,4,2]=>[5,1,3,2,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,6,4,2,3]=>[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,1,6,4,3,2]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,2,1,3,4,6]=>[2,3,5,6,4,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,1,3,6,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,1,4,3,6]=>[2,5,1,6,4,3]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,1,4,6,3]=>[2,1,5,6,4,3]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,1,6,3,4]=>[2,5,3,6,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,1,6,4,3]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,3,1,4,6]=>[2,3,5,4,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,3,1,6,4]=>[5,2,6,3,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,3,4,1,6]=>[2,5,3,4,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,3,4,6,1]=>[5,2,3,4,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,3,6,1,4]=>[5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,3,6,4,1]=>[5,2,1,3,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,4,1,3,6]=>[2,5,6,1,4,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,4,1,6,3]=>[2,1,5,4,6,3]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,4,3,1,6]=>[2,5,4,3,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,2,4,3,6,1]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,2,4,6,1,3]=>[2,5,1,4,6,3]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,4,6,3,1]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,2,6,1,3,4]=>[2,5,6,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,6,1,4,3]=>[5,2,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,6,3,1,4]=>[2,5,3,1,6,4]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,6,3,4,1]=>[5,2,3,1,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,6,4,1,3]=>[5,6,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,2,6,4,3,1]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,1,2,4,6]=>[1,3,5,6,4,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,1,2,6,4]=>[5,1,3,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,1,4,2,6]=>[3,5,1,6,4,2]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,1,4,6,2]=>[3,1,5,6,4,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,1,6,2,4]=>[1,5,3,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,1,6,4,2]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,2,1,4,6]=>[3,5,6,4,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,2,1,6,4]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,2,4,1,6]=>[3,5,4,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,2,4,6,1]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,2,6,1,4]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,2,6,4,1]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,4,1,2,6]=>[3,5,6,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,4,1,6,2]=>[3,1,5,4,6,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,4,2,1,6]=>[3,5,4,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,4,2,6,1]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,4,6,1,2]=>[3,5,1,4,6,2]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,4,6,2,1]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,6,1,2,4]=>[1,5,6,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,6,1,4,2]=>[5,3,6,1,4,2]=>([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,6,2,1,4]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,6,2,4,1]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,3,6,4,1,2]=>[5,6,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,3,6,4,2,1]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,1,2,3,6]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,4,1,2,6,3]=>[5,1,2,6,4,3]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,4,1,3,2,6]=>[1,5,4,6,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,1,3,6,2]=>[5,1,4,6,3,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,1,6,2,3]=>[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,4,1,6,3,2]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,2,1,3,6]=>[2,5,6,4,3,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,2,1,6,3]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,2,3,1,6]=>[2,5,4,6,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,2,3,6,1]=>[5,2,4,6,3,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,2,6,1,3]=>[5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,2,6,3,1]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,3,1,2,6]=>[1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,3,1,6,2]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,3,2,1,6]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [5,4,3,2,6,1]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [5,4,3,6,1,2]=>[5,6,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,3,6,2,1]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [5,4,6,1,2,3]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,4,6,1,3,2]=>[5,4,6,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,6,2,1,3]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,6,2,3,1]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,6,3,1,2]=>[5,6,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,4,6,3,2,1]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [5,6,1,2,3,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2) [5,6,1,2,4,3]=>[5,1,4,6,2,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,1,3,2,4]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,1,3,4,2]=>[5,1,3,6,2,4]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,1,4,2,3]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,1,4,3,2]=>[5,4,3,6,1,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,2,1,3,4]=>[2,5,6,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,2,1,4,3]=>[5,2,6,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,2,3,1,4]=>[2,5,3,6,1,4]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,2,3,4,1]=>[5,2,3,6,1,4]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,2,4,1,3]=>[5,6,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,2,4,3,1]=>[5,4,2,6,1,3]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,3,1,2,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,3,1,4,2]=>[5,3,6,4,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,3,2,1,4]=>[5,6,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,3,2,4,1]=>[5,3,6,2,1,4]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,3,4,1,2]=>[5,6,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,3,4,2,1]=>[5,3,2,6,1,4]=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,4,1,2,3]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [5,6,4,1,3,2]=>[5,4,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,4,2,1,3]=>[5,6,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,4,2,3,1]=>[5,4,6,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,4,3,1,2]=>[5,6,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [5,6,4,3,2,1]=>[5,4,3,2,1,6]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,1,2,3,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>([(0,1)],2) [6,1,2,3,5,4]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,2,4,3,5]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,2,4,5,3]=>[6,1,2,4,5,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,2,5,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,2,5,4,3]=>[6,5,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,3,2,4,5]=>[1,3,6,4,5,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,3,2,5,4]=>[3,1,6,2,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,3,4,2,5]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,3,4,5,2]=>[6,1,3,4,5,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,3,5,2,4]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,3,5,4,2]=>[6,5,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,4,2,3,5]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,4,2,5,3]=>[4,1,6,2,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,4,3,2,5]=>[1,6,4,3,5,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,4,3,5,2]=>[6,1,4,3,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,4,5,2,3]=>[4,6,1,2,5,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,4,5,3,2]=>[6,4,1,3,5,2]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,5,2,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,1,5,2,4,3]=>[6,1,5,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,5,3,2,4]=>[1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,5,3,4,2]=>[6,1,5,3,4,2]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,5,4,2,3]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,1,5,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,2,1,3,4,5]=>[2,3,4,6,5,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,1,3,5,4]=>[2,1,3,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,1,4,3,5]=>[2,4,1,6,5,3]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,1,4,5,3]=>[2,1,4,6,5,3]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,1,5,3,4]=>[2,3,1,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,1,5,4,3]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,3,1,4,5]=>[2,3,6,4,5,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,3,1,5,4]=>[2,1,6,3,5,4]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,3,4,1,5]=>[2,6,3,4,5,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,3,4,5,1]=>[6,2,3,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,3,5,1,4]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,3,5,4,1]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,4,1,3,5]=>[2,4,6,1,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,4,1,5,3]=>[2,1,6,4,5,3]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,4,3,1,5]=>[2,6,4,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,4,3,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,4,5,1,3]=>[2,6,1,4,5,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,4,5,3,1]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,5,1,3,4]=>[2,3,6,1,5,4]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,2,5,1,4,3]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,5,3,1,4]=>[2,6,5,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,5,3,4,1]=>[6,2,5,3,4,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,5,4,1,3]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,2,5,4,3,1]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,3,1,2,4,5]=>[1,3,4,6,5,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,1,2,5,4]=>[3,1,2,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,1,4,2,5]=>[3,4,1,6,5,2]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,1,4,5,2]=>[3,1,4,6,5,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,1,5,2,4]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,1,5,4,2]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,2,1,4,5]=>[3,4,6,5,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,2,1,5,4]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,2,4,1,5]=>[3,6,4,5,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,2,4,5,1]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,2,5,1,4]=>[3,6,2,5,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,2,5,4,1]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,4,1,2,5]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,4,1,5,2]=>[3,1,6,4,5,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,4,2,1,5]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,4,2,5,1]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,4,5,1,2]=>[3,6,1,4,5,2]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,4,5,2,1]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,5,1,2,4]=>[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,3,5,1,4,2]=>[6,3,5,1,4,2]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,5,2,1,4]=>[3,6,5,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,5,2,4,1]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,5,4,1,2]=>[3,6,5,1,4,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,3,5,4,2,1]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,4,1,2,3,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,4,1,2,5,3]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,4,1,3,2,5]=>[1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,1,3,5,2]=>[6,1,4,5,3,2]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,1,5,2,3]=>[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,4,1,5,3,2]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,2,1,3,5]=>[2,4,6,5,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,2,1,5,3]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,2,3,1,5]=>[2,6,4,5,3,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,2,3,5,1]=>[6,2,4,5,3,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,2,5,1,3]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,2,5,3,1]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,3,1,2,5]=>[1,4,6,5,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,3,1,5,2]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,3,2,1,5]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,4,3,2,5,1]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,4,3,5,1,2]=>[4,6,1,5,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,3,5,2,1]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,4,5,1,2,3]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,4,5,1,3,2]=>[6,4,5,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,5,2,1,3]=>[4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,5,2,3,1]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,5,3,1,2]=>[4,6,5,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,4,5,3,2,1]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,1,2,3,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3) [6,5,1,2,4,3]=>[6,1,2,5,4,3]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,1,3,2,4]=>[1,6,3,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,1,3,4,2]=>[6,1,3,5,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,1,4,2,3]=>[1,6,2,5,4,3]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,1,4,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,2,1,3,4]=>[2,3,6,5,4,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,2,1,4,3]=>[2,1,6,5,4,3]=>([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,2,3,1,4]=>[2,6,3,5,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,2,3,4,1]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,2,4,1,3]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,2,4,3,1]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,3,1,2,4]=>[1,3,6,5,4,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,3,1,4,2]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,3,2,1,4]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,3,2,4,1]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,3,4,1,2]=>[3,6,1,5,4,2]=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,3,4,2,1]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,4,1,2,3]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) [6,5,4,1,3,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,4,2,1,3]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,4,2,3,1]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,4,3,1,2]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
Map
cactus evacuation
Description
The cactus evacuation of a permutation.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
Map
core
Description
The core of a graph.
The core of a graph $G$ is the smallest graph $C$ such that there is a homomorphism from $G$ to $C$ and a homomorphism from $C$ to $G$.
Note that the core of a graph is not necessarily connected, see [2].