Identifier
Mp00185: Skew partitions cell posetPosets
Mp00125: Posets dual poset Posets
Images
=>
Cc0028;cc-rep-0Cc0014;cc-rep-1Cc0014;cc-rep-2
[[1],[]]=>([],1)=>([],1) [[2],[]]=>([(0,1)],2)=>([(0,1)],2) [[1,1],[]]=>([(0,1)],2)=>([(0,1)],2) [[2,1],[1]]=>([],2)=>([],2) [[3],[]]=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,1],[]]=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[3,1],[1]]=>([(1,2)],3)=>([(1,2)],3) [[2,2],[1]]=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[3,2],[2]]=>([(1,2)],3)=>([(1,2)],3) [[1,1,1],[]]=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,2,1],[1,1]]=>([(1,2)],3)=>([(1,2)],3) [[2,1,1],[1]]=>([(1,2)],3)=>([(1,2)],3) [[3,2,1],[2,1]]=>([],3)=>([],3) [[4],[]]=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,1],[]]=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[4,1],[1]]=>([(1,2),(2,3)],4)=>([(1,2),(2,3)],4) [[2,2],[]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[3,2],[1]]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(1,3)],4) [[4,2],[2]]=>([(0,3),(1,2)],4)=>([(0,3),(1,2)],4) [[2,1,1],[]]=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[3,2,1],[1,1]]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4) [[3,1,1],[1]]=>([(0,3),(1,2)],4)=>([(0,3),(1,2)],4) [[4,2,1],[2,1]]=>([(2,3)],4)=>([(2,3)],4) [[3,3],[2]]=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[4,3],[3]]=>([(1,2),(2,3)],4)=>([(1,2),(2,3)],4) [[2,2,1],[1]]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(1,3)],4) [[3,3,1],[2,1]]=>([(1,3),(2,3)],4)=>([(1,2),(1,3)],4) [[3,2,1],[2]]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4) [[4,3,1],[3,1]]=>([(2,3)],4)=>([(2,3)],4) [[2,2,2],[1,1]]=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[3,3,2],[2,2]]=>([(0,3),(1,2)],4)=>([(0,3),(1,2)],4) [[3,2,2],[2,1]]=>([(1,3),(2,3)],4)=>([(1,2),(1,3)],4) [[4,3,2],[3,2]]=>([(2,3)],4)=>([(2,3)],4) [[1,1,1,1],[]]=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[2,2,2,1],[1,1,1]]=>([(1,2),(2,3)],4)=>([(1,2),(2,3)],4) [[2,2,1,1],[1,1]]=>([(0,3),(1,2)],4)=>([(0,3),(1,2)],4) [[3,3,2,1],[2,2,1]]=>([(2,3)],4)=>([(2,3)],4) [[2,1,1,1],[1]]=>([(1,2),(2,3)],4)=>([(1,2),(2,3)],4) [[3,2,2,1],[2,1,1]]=>([(2,3)],4)=>([(2,3)],4) [[3,2,1,1],[2,1]]=>([(2,3)],4)=>([(2,3)],4) [[4,3,2,1],[3,2,1]]=>([],4)=>([],4) [[5],[]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[4,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>([(0,4),(1,2),(2,3),(3,4)],5) [[5,1],[1]]=>([(1,4),(3,2),(4,3)],5)=>([(1,4),(3,2),(4,3)],5) [[3,2],[]]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5) [[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(1,2),(1,4),(3,4)],5) [[5,2],[2]]=>([(0,3),(1,4),(4,2)],5)=>([(0,3),(1,4),(4,2)],5) [[3,1,1],[]]=>([(0,3),(0,4),(3,2),(4,1)],5)=>([(0,3),(1,2),(2,4),(3,4)],5) [[4,2,1],[1,1]]=>([(1,3),(1,4),(4,2)],5)=>([(1,4),(2,3),(3,4)],5) [[4,1,1],[1]]=>([(0,3),(1,4),(4,2)],5)=>([(0,3),(1,4),(4,2)],5) [[5,2,1],[2,1]]=>([(2,3),(3,4)],5)=>([(2,3),(3,4)],5) [[3,3],[1]]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5) [[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>([(0,4),(1,2),(1,4),(2,3)],5) [[5,3],[3]]=>([(0,3),(1,4),(4,2)],5)=>([(0,3),(1,4),(4,2)],5) [[2,2,1],[]]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5) [[3,3,1],[1,1]]=>([(1,2),(1,3),(2,4),(3,4)],5)=>([(1,2),(1,3),(2,4),(3,4)],5) [[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5) [[4,3,1],[2,1]]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(2,4)],5) [[4,2,1],[2]]=>([(0,4),(1,2),(1,3)],5)=>([(0,4),(1,4),(2,3)],5) [[5,3,1],[3,1]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>([(0,4),(1,2),(1,3),(3,4)],5) [[4,3,2],[2,2]]=>([(0,4),(1,2),(1,3)],5)=>([(0,4),(1,4),(2,3)],5) [[4,2,2],[2,1]]=>([(0,4),(1,4),(2,3)],5)=>([(0,4),(1,2),(1,3)],5) [[5,3,2],[3,2]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[2,1,1,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>([(0,4),(1,2),(2,3),(3,4)],5) [[3,2,2,1],[1,1,1]]=>([(1,3),(1,4),(4,2)],5)=>([(1,4),(2,3),(3,4)],5) [[3,2,1,1],[1,1]]=>([(0,4),(1,2),(1,3)],5)=>([(0,4),(1,4),(2,3)],5) [[4,3,2,1],[2,2,1]]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5) [[3,1,1,1],[1]]=>([(0,3),(1,4),(4,2)],5)=>([(0,3),(1,4),(4,2)],5) [[4,2,2,1],[2,1,1]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[4,2,1,1],[2,1]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[5,3,2,1],[3,2,1]]=>([(3,4)],5)=>([(3,4)],5) [[4,4],[3]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,2),(0,4),(3,1),(4,3)],5) [[5,4],[4]]=>([(1,4),(3,2),(4,3)],5)=>([(1,4),(3,2),(4,3)],5) [[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>([(0,4),(1,2),(1,3),(3,4)],5) [[4,4,1],[3,1]]=>([(1,4),(2,3),(3,4)],5)=>([(1,3),(1,4),(4,2)],5) [[4,3,1],[3]]=>([(1,3),(1,4),(4,2)],5)=>([(1,4),(2,3),(3,4)],5) [[5,4,1],[4,1]]=>([(2,3),(3,4)],5)=>([(2,3),(3,4)],5) [[2,2,2],[1]]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5) [[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,2),(1,4)],5) [[4,4,2],[3,2]]=>([(0,4),(1,4),(2,3)],5)=>([(0,4),(1,2),(1,3)],5) [[3,2,2],[2]]=>([(1,2),(1,3),(2,4),(3,4)],5)=>([(1,2),(1,3),(2,4),(3,4)],5) [[4,3,2],[3,1]]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(2,4)],5) [[5,4,2],[4,2]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(1,2),(1,4),(3,4)],5) [[3,3,2,1],[2,1,1]]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(2,4)],5) [[3,3,1,1],[2,1]]=>([(0,4),(1,4),(2,3)],5)=>([(0,4),(1,2),(1,3)],5) [[4,4,2,1],[3,2,1]]=>([(2,4),(3,4)],5)=>([(2,3),(2,4)],5) [[3,2,1,1],[2]]=>([(1,3),(1,4),(4,2)],5)=>([(1,4),(2,3),(3,4)],5) [[4,3,2,1],[3,1,1]]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5) [[4,3,1,1],[3,1]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[5,4,2,1],[4,2,1]]=>([(3,4)],5)=>([(3,4)],5) [[3,3,3],[2,2]]=>([(0,3),(1,2),(2,4),(3,4)],5)=>([(0,3),(0,4),(3,2),(4,1)],5) [[4,4,3],[3,3]]=>([(0,3),(1,4),(4,2)],5)=>([(0,3),(1,4),(4,2)],5) [[4,3,3],[3,2]]=>([(1,4),(2,3),(3,4)],5)=>([(1,3),(1,4),(4,2)],5) [[5,4,3],[4,3]]=>([(2,3),(3,4)],5)=>([(2,3),(3,4)],5) [[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>([(0,4),(1,2),(1,4),(2,3)],5) [[3,3,3,1],[2,2,1]]=>([(1,4),(2,3),(3,4)],5)=>([(1,3),(1,4),(4,2)],5) [[3,3,2,1],[2,2]]=>([(0,4),(1,2),(1,3)],5)=>([(0,4),(1,4),(2,3)],5) [[4,4,3,1],[3,3,1]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[3,2,2,1],[2,1]]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(2,4)],5) [[4,3,3,1],[3,2,1]]=>([(2,4),(3,4)],5)=>([(2,3),(2,4)],5) [[4,3,2,1],[3,2]]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5) [[5,4,3,1],[4,3,1]]=>([(3,4)],5)=>([(3,4)],5) [[2,2,2,2],[1,1,1]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,2),(0,4),(3,1),(4,3)],5) [[3,3,3,2],[2,2,2]]=>([(0,3),(1,4),(4,2)],5)=>([(0,3),(1,4),(4,2)],5) [[3,3,2,2],[2,2,1]]=>([(0,4),(1,4),(2,3)],5)=>([(0,4),(1,2),(1,3)],5) [[4,4,3,2],[3,3,2]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[3,2,2,2],[2,1,1]]=>([(1,4),(2,3),(3,4)],5)=>([(1,3),(1,4),(4,2)],5) [[4,3,3,2],[3,2,2]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[4,3,2,2],[3,2,1]]=>([(2,4),(3,4)],5)=>([(2,3),(2,4)],5) [[5,4,3,2],[4,3,2]]=>([(3,4)],5)=>([(3,4)],5) [[1,1,1,1,1],[]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[2,2,2,2,1],[1,1,1,1]]=>([(1,4),(3,2),(4,3)],5)=>([(1,4),(3,2),(4,3)],5) [[2,2,2,1,1],[1,1,1]]=>([(0,3),(1,4),(4,2)],5)=>([(0,3),(1,4),(4,2)],5) [[3,3,3,2,1],[2,2,2,1]]=>([(2,3),(3,4)],5)=>([(2,3),(3,4)],5) [[2,2,1,1,1],[1,1]]=>([(0,3),(1,4),(4,2)],5)=>([(0,3),(1,4),(4,2)],5) [[3,3,2,2,1],[2,2,1,1]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[3,3,2,1,1],[2,2,1]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[4,4,3,2,1],[3,3,2,1]]=>([(3,4)],5)=>([(3,4)],5) [[2,1,1,1,1],[1]]=>([(1,4),(3,2),(4,3)],5)=>([(1,4),(3,2),(4,3)],5) [[3,2,2,2,1],[2,1,1,1]]=>([(2,3),(3,4)],5)=>([(2,3),(3,4)],5) [[3,2,2,1,1],[2,1,1]]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [[4,3,3,2,1],[3,2,2,1]]=>([(3,4)],5)=>([(3,4)],5) [[3,2,1,1,1],[2,1]]=>([(2,3),(3,4)],5)=>([(2,3),(3,4)],5) [[4,3,2,2,1],[3,2,1,1]]=>([(3,4)],5)=>([(3,4)],5) [[4,3,2,1,1],[3,2,1]]=>([(3,4)],5)=>([(3,4)],5) [[5,4,3,2,1],[4,3,2,1]]=>([],5)=>([],5) [[6],[]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[5,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [[6,1],[1]]=>([(1,5),(3,4),(4,2),(5,3)],6)=>([(1,5),(3,4),(4,2),(5,3)],6) [[4,2],[]]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) [[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6) [[6,2],[2]]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(1,3),(4,2),(5,4)],6) [[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6) [[5,2,1],[1,1]]=>([(1,3),(1,5),(4,2),(5,4)],6)=>([(1,5),(2,3),(3,4),(4,5)],6) [[5,1,1],[1]]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(1,3),(4,2),(5,4)],6) [[6,2,1],[2,1]]=>([(2,3),(3,5),(5,4)],6)=>([(2,3),(3,5),(5,4)],6) [[3,3],[]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [[4,3],[1]]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) [[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6) [[6,3],[3]]=>([(0,5),(1,4),(4,2),(5,3)],6)=>([(0,5),(1,4),(4,2),(5,3)],6) [[3,2,1],[]]=>([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) [[4,3,1],[1,1]]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6) [[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6) [[5,3,1],[2,1]]=>([(1,5),(2,3),(2,5),(3,4)],6)=>([(1,4),(2,3),(2,5),(4,5)],6) [[5,2,1],[2]]=>([(0,5),(1,3),(1,4),(5,2)],6)=>([(0,5),(1,5),(2,3),(3,4)],6) [[6,3,1],[3,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6) [[5,3,2],[2,2]]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,3),(2,4),(4,5)],6) [[5,2,2],[2,1]]=>([(0,5),(1,5),(2,3),(3,4)],6)=>([(0,5),(1,3),(1,4),(5,2)],6) [[6,3,2],[3,2]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6) [[4,2,2,1],[1,1,1]]=>([(1,4),(1,5),(4,3),(5,2)],6)=>([(1,4),(2,3),(3,5),(4,5)],6) [[4,2,1,1],[1,1]]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,3),(2,4),(4,5)],6) [[5,3,2,1],[2,2,1]]=>([(2,3),(2,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6) [[4,1,1,1],[1]]=>([(0,5),(1,4),(4,2),(5,3)],6)=>([(0,5),(1,4),(4,2),(5,3)],6) [[5,2,2,1],[2,1,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[5,2,1,1],[2,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[6,3,2,1],[3,2,1]]=>([(3,4),(4,5)],6)=>([(3,4),(4,5)],6) [[4,4],[2]]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) [[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6) [[6,4],[4]]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(1,3),(4,2),(5,4)],6) [[3,3,1],[1]]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) [[4,4,1],[2,1]]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6) [[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [[5,4,1],[3,1]]=>([(1,4),(2,3),(2,5),(4,5)],6)=>([(1,5),(2,3),(2,5),(3,4)],6) [[5,3,1],[3]]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,3),(2,4),(4,5)],6) [[6,4,1],[4,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[2,2,2],[]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [[3,3,2],[1,1]]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) [[4,4,2],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6) [[3,2,2],[1]]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) [[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6) [[5,4,2],[3,2]]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6) [[4,2,2],[2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6) [[5,3,2],[3,1]]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6) [[6,4,2],[4,2]]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [[2,2,1,1],[]]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) [[3,3,2,1],[1,1,1]]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6) [[3,3,1,1],[1,1]]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6) [[4,4,2,1],[2,2,1]]=>([(2,3),(2,4),(3,5),(4,5)],6)=>([(2,3),(2,4),(3,5),(4,5)],6) [[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6) [[4,3,2,1],[2,1,1]]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6) [[4,3,1,1],[2,1]]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6) [[5,4,2,1],[3,2,1]]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(3,5)],6) [[4,2,1,1],[2]]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,3),(2,4),(4,5)],6) [[5,3,2,1],[3,1,1]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[5,3,1,1],[3,1]]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [[6,4,2,1],[4,2,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6) [[5,4,3],[3,3]]=>([(0,5),(1,3),(1,4),(5,2)],6)=>([(0,5),(1,5),(2,3),(3,4)],6) [[5,3,3],[3,2]]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,4),(1,3),(1,5),(5,2)],6) [[6,4,3],[4,3]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [[4,3,3,1],[2,2,1]]=>([(1,5),(2,3),(2,4),(4,5)],6)=>([(1,5),(2,3),(2,4),(4,5)],6) [[4,3,2,1],[2,2]]=>([(0,4),(0,5),(1,2),(1,3)],6)=>([(0,5),(1,5),(2,4),(3,4)],6) [[5,4,3,1],[3,3,1]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[4,2,2,1],[2,1]]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6) [[5,3,3,1],[3,2,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[5,3,2,1],[3,2]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[6,4,3,1],[4,3,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6) [[4,3,3,2],[2,2,2]]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,3),(2,4),(4,5)],6) [[4,3,2,2],[2,2,1]]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,3),(2,4)],6) [[5,4,3,2],[3,3,2]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[4,2,2,2],[2,1,1]]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,4),(1,3),(1,5),(5,2)],6) [[5,3,3,2],[3,2,2]]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [[5,3,2,2],[3,2,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[6,4,3,2],[4,3,2]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[2,1,1,1,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [[3,2,2,2,1],[1,1,1,1]]=>([(1,3),(1,5),(4,2),(5,4)],6)=>([(1,5),(2,3),(3,4),(4,5)],6) [[3,2,2,1,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,3),(2,4),(4,5)],6) [[4,3,3,2,1],[2,2,2,1]]=>([(2,3),(2,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6) [[3,2,1,1,1],[1,1]]=>([(0,5),(1,3),(1,4),(5,2)],6)=>([(0,5),(1,5),(2,3),(3,4)],6) [[4,3,2,2,1],[2,2,1,1]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[4,3,2,1,1],[2,2,1]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[5,4,3,2,1],[3,3,2,1]]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [[3,1,1,1,1],[1]]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(1,3),(4,2),(5,4)],6) [[4,2,2,2,1],[2,1,1,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,2,2,1,1],[2,1,1]]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [[5,3,3,2,1],[3,2,2,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[4,2,1,1,1],[2,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[5,3,2,2,1],[3,2,1,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[5,3,2,1,1],[3,2,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[6,4,3,2,1],[4,3,2,1]]=>([(4,5)],6)=>([(4,5)],6) [[5,5],[4]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [[6,5],[5]]=>([(1,5),(3,4),(4,2),(5,3)],6)=>([(1,5),(3,4),(4,2),(5,3)],6) [[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6) [[5,5,1],[4,1]]=>([(1,5),(2,3),(3,4),(4,5)],6)=>([(1,3),(1,5),(4,2),(5,4)],6) [[5,4,1],[4]]=>([(1,3),(1,5),(4,2),(5,4)],6)=>([(1,5),(2,3),(3,4),(4,5)],6) [[6,5,1],[5,1]]=>([(2,3),(3,5),(5,4)],6)=>([(2,3),(3,5),(5,4)],6) [[3,3,2],[2]]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) [[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6) [[5,5,2],[4,2]]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,4),(1,3),(1,5),(5,2)],6) [[4,3,2],[3]]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6) [[5,4,2],[4,1]]=>([(1,5),(2,3),(2,5),(3,4)],6)=>([(1,4),(2,3),(2,5),(4,5)],6) [[6,5,2],[5,2]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6) [[4,4,2,1],[3,1,1]]=>([(1,5),(2,3),(2,4),(4,5)],6)=>([(1,5),(2,3),(2,4),(4,5)],6) [[4,4,1,1],[3,1]]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,4),(1,3),(1,5),(5,2)],6) [[5,5,2,1],[4,2,1]]=>([(2,5),(3,4),(4,5)],6)=>([(2,3),(2,4),(4,5)],6) [[4,3,1,1],[3]]=>([(1,4),(1,5),(4,3),(5,2)],6)=>([(1,4),(2,3),(3,5),(4,5)],6) [[5,4,2,1],[4,1,1]]=>([(2,3),(2,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6) [[5,4,1,1],[4,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[6,5,2,1],[5,2,1]]=>([(3,4),(4,5)],6)=>([(3,4),(4,5)],6) [[3,3,3],[2,1]]=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) [[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6) [[5,5,3],[4,3]]=>([(0,5),(1,5),(2,3),(3,4)],6)=>([(0,5),(1,3),(1,4),(5,2)],6) [[4,3,3],[3,1]]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6) [[5,4,3],[4,2]]=>([(1,4),(2,3),(2,5),(4,5)],6)=>([(1,5),(2,3),(2,5),(3,4)],6) [[6,5,3],[5,3]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[2,2,2,1],[1]]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) [[3,3,3,1],[2,1,1]]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6) [[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6) [[4,4,3,1],[3,2,1]]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,3),(2,5)],6) [[4,4,2,1],[3,2]]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,3),(2,4)],6) [[5,5,3,1],[4,3,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[3,2,2,1],[2]]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6) [[4,3,3,1],[3,1,1]]=>([(2,3),(2,4),(3,5),(4,5)],6)=>([(2,3),(2,4),(3,5),(4,5)],6) [[4,3,2,1],[3,1]]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6) [[5,4,3,1],[4,2,1]]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(3,5)],6) [[5,4,2,1],[4,2]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[6,5,3,1],[5,3,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6) [[4,4,3,2],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6) [[4,4,2,2],[3,2,1]]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,4),(0,5),(1,2),(1,3)],6) [[5,5,3,2],[4,3,2]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[4,3,2,2],[3,1,1]]=>([(1,5),(2,3),(2,4),(4,5)],6)=>([(1,5),(2,3),(2,4),(4,5)],6) [[5,4,3,2],[4,2,2]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[5,4,2,2],[4,2,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[6,5,3,2],[5,3,2]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6) [[3,3,2,2,1],[2,1,1,1]]=>([(1,5),(2,3),(2,5),(3,4)],6)=>([(1,4),(2,3),(2,5),(4,5)],6) [[3,3,2,1,1],[2,1,1]]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6) [[4,4,3,2,1],[3,2,2,1]]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(3,5)],6) [[3,3,1,1,1],[2,1]]=>([(0,5),(1,5),(2,3),(3,4)],6)=>([(0,5),(1,3),(1,4),(5,2)],6) [[4,4,2,2,1],[3,2,1,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[4,4,2,1,1],[3,2,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[5,5,3,2,1],[4,3,2,1]]=>([(3,5),(4,5)],6)=>([(3,4),(3,5)],6) [[3,2,1,1,1],[2]]=>([(1,3),(1,5),(4,2),(5,4)],6)=>([(1,5),(2,3),(3,4),(4,5)],6) [[4,3,2,2,1],[3,1,1,1]]=>([(2,3),(2,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6) [[4,3,2,1,1],[3,1,1]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[5,4,3,2,1],[4,2,2,1]]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [[4,3,1,1,1],[3,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[5,4,2,2,1],[4,2,1,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[5,4,2,1,1],[4,2,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[6,5,3,2,1],[5,3,2,1]]=>([(4,5)],6)=>([(4,5)],6) [[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6) [[5,5,4],[4,4]]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(1,3),(4,2),(5,4)],6) [[5,4,4],[4,3]]=>([(1,5),(2,3),(3,4),(4,5)],6)=>([(1,3),(1,5),(4,2),(5,4)],6) [[6,5,4],[5,4]]=>([(2,3),(3,5),(5,4)],6)=>([(2,3),(3,5),(5,4)],6) [[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6) [[4,4,4,1],[3,3,1]]=>([(1,4),(2,3),(3,5),(4,5)],6)=>([(1,4),(1,5),(4,3),(5,2)],6) [[4,4,3,1],[3,3]]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,3),(2,4),(4,5)],6) [[5,5,4,1],[4,4,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,3,3,1],[3,2]]=>([(1,5),(2,3),(2,4),(4,5)],6)=>([(1,5),(2,3),(2,4),(4,5)],6) [[5,4,4,1],[4,3,1]]=>([(2,5),(3,4),(4,5)],6)=>([(2,3),(2,4),(4,5)],6) [[5,4,3,1],[4,3]]=>([(2,3),(2,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6) [[6,5,4,1],[5,4,1]]=>([(3,4),(4,5)],6)=>([(3,4),(4,5)],6) [[2,2,2,2],[1,1]]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) [[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6) [[4,4,4,2],[3,3,2]]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,4),(1,3),(1,5),(5,2)],6) [[3,3,2,2],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6) [[4,4,3,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6) [[5,5,4,2],[4,4,2]]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [[3,2,2,2],[2,1]]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6) [[4,3,3,2],[3,2,1]]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,3),(2,5)],6) [[5,4,4,2],[4,3,2]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[4,3,2,2],[3,2]]=>([(2,3),(2,4),(3,5),(4,5)],6)=>([(2,3),(2,4),(3,5),(4,5)],6) [[5,4,3,2],[4,3,1]]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(3,5)],6) [[6,5,4,2],[5,4,2]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6) [[3,3,3,2,1],[2,2,1,1]]=>([(1,4),(2,3),(2,5),(4,5)],6)=>([(1,5),(2,3),(2,5),(3,4)],6) [[3,3,3,1,1],[2,2,1]]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,4),(1,3),(1,5),(5,2)],6) [[4,4,4,2,1],[3,3,2,1]]=>([(2,5),(3,4),(4,5)],6)=>([(2,3),(2,4),(4,5)],6) [[3,3,2,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,5),(1,3),(2,4),(4,5)],6) [[4,4,3,2,1],[3,3,1,1]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[4,4,3,1,1],[3,3,1]]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [[5,5,4,2,1],[4,4,2,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[3,2,2,1,1],[2,1]]=>([(1,5),(2,3),(2,5),(3,4)],6)=>([(1,4),(2,3),(2,5),(4,5)],6) [[4,3,3,2,1],[3,2,1,1]]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(3,5)],6) [[4,3,3,1,1],[3,2,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[5,4,4,2,1],[4,3,2,1]]=>([(3,5),(4,5)],6)=>([(3,4),(3,5)],6) [[4,3,2,1,1],[3,2]]=>([(2,3),(2,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6) [[5,4,3,2,1],[4,3,1,1]]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [[5,4,3,1,1],[4,3,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[6,5,4,2,1],[5,4,2,1]]=>([(4,5)],6)=>([(4,5)],6) [[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6) [[4,4,4,3],[3,3,3]]=>([(0,5),(1,4),(4,2),(5,3)],6)=>([(0,5),(1,4),(4,2),(5,3)],6) [[4,4,3,3],[3,3,2]]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,4),(1,3),(1,5),(5,2)],6) [[5,5,4,3],[4,4,3]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,3,3,3],[3,2,2]]=>([(1,4),(2,3),(3,5),(4,5)],6)=>([(1,4),(1,5),(4,3),(5,2)],6) [[5,4,4,3],[4,3,3]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[5,4,3,3],[4,3,2]]=>([(2,5),(3,4),(4,5)],6)=>([(2,3),(2,4),(4,5)],6) [[6,5,4,3],[5,4,3]]=>([(3,4),(4,5)],6)=>([(3,4),(4,5)],6) [[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6) [[3,3,3,3,1],[2,2,2,1]]=>([(1,5),(2,3),(3,4),(4,5)],6)=>([(1,3),(1,5),(4,2),(5,4)],6) [[3,3,3,2,1],[2,2,2]]=>([(0,5),(1,3),(1,4),(5,2)],6)=>([(0,5),(1,5),(2,3),(3,4)],6) [[4,4,4,3,1],[3,3,3,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[3,3,2,2,1],[2,2,1]]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(2,4),(2,5)],6) [[4,4,3,3,1],[3,3,2,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[4,4,3,2,1],[3,3,2]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[5,5,4,3,1],[4,4,3,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[3,2,2,2,1],[2,1,1]]=>([(1,4),(2,3),(2,5),(4,5)],6)=>([(1,5),(2,3),(2,5),(3,4)],6) [[4,3,3,3,1],[3,2,2,1]]=>([(2,5),(3,4),(4,5)],6)=>([(2,3),(2,4),(4,5)],6) [[4,3,3,2,1],[3,2,2]]=>([(1,5),(2,3),(2,4)],6)=>([(1,5),(2,5),(3,4)],6) [[5,4,4,3,1],[4,3,3,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[4,3,2,2,1],[3,2,1]]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(3,5)],6) [[5,4,3,3,1],[4,3,2,1]]=>([(3,5),(4,5)],6)=>([(3,4),(3,5)],6) [[5,4,3,2,1],[4,3,2]]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [[6,5,4,3,1],[5,4,3,1]]=>([(4,5)],6)=>([(4,5)],6) [[2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [[3,3,3,3,2],[2,2,2,2]]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(1,3),(4,2),(5,4)],6) [[3,3,3,2,2],[2,2,2,1]]=>([(0,5),(1,5),(2,3),(3,4)],6)=>([(0,5),(1,3),(1,4),(5,2)],6) [[4,4,4,3,2],[3,3,3,2]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[3,3,2,2,2],[2,2,1,1]]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,4),(1,3),(1,5),(5,2)],6) [[4,4,3,3,2],[3,3,2,2]]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [[4,4,3,2,2],[3,3,2,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[5,5,4,3,2],[4,4,3,2]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[3,2,2,2,2],[2,1,1,1]]=>([(1,5),(2,3),(3,4),(4,5)],6)=>([(1,3),(1,5),(4,2),(5,4)],6) [[4,3,3,3,2],[3,2,2,2]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,3,3,2,2],[3,2,2,1]]=>([(1,5),(2,5),(3,4)],6)=>([(1,5),(2,3),(2,4)],6) [[5,4,4,3,2],[4,3,3,2]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[4,3,2,2,2],[3,2,1,1]]=>([(2,5),(3,4),(4,5)],6)=>([(2,3),(2,4),(4,5)],6) [[5,4,3,3,2],[4,3,2,2]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[5,4,3,2,2],[4,3,2,1]]=>([(3,5),(4,5)],6)=>([(3,4),(3,5)],6) [[6,5,4,3,2],[5,4,3,2]]=>([(4,5)],6)=>([(4,5)],6) [[1,1,1,1,1,1],[]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[2,2,2,2,2,1],[1,1,1,1,1]]=>([(1,5),(3,4),(4,2),(5,3)],6)=>([(1,5),(3,4),(4,2),(5,3)],6) [[2,2,2,2,1,1],[1,1,1,1]]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(1,3),(4,2),(5,4)],6) [[3,3,3,3,2,1],[2,2,2,2,1]]=>([(2,3),(3,5),(5,4)],6)=>([(2,3),(3,5),(5,4)],6) [[2,2,2,1,1,1],[1,1,1]]=>([(0,5),(1,4),(4,2),(5,3)],6)=>([(0,5),(1,4),(4,2),(5,3)],6) [[3,3,3,2,2,1],[2,2,2,1,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[3,3,3,2,1,1],[2,2,2,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,4,4,3,2,1],[3,3,3,2,1]]=>([(3,4),(4,5)],6)=>([(3,4),(4,5)],6) [[2,2,1,1,1,1],[1,1]]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,5),(1,3),(4,2),(5,4)],6) [[3,3,2,2,2,1],[2,2,1,1,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[3,3,2,2,1,1],[2,2,1,1]]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [[4,4,3,3,2,1],[3,3,2,2,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[3,3,2,1,1,1],[2,2,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,4,3,2,2,1],[3,3,2,1,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[4,4,3,2,1,1],[3,3,2,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[5,5,4,3,2,1],[4,4,3,2,1]]=>([(4,5)],6)=>([(4,5)],6) [[2,1,1,1,1,1],[1]]=>([(1,5),(3,4),(4,2),(5,3)],6)=>([(1,5),(3,4),(4,2),(5,3)],6) [[3,2,2,2,2,1],[2,1,1,1,1]]=>([(2,3),(3,5),(5,4)],6)=>([(2,3),(3,5),(5,4)],6) [[3,2,2,2,1,1],[2,1,1,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,3,3,3,2,1],[3,2,2,2,1]]=>([(3,4),(4,5)],6)=>([(3,4),(4,5)],6) [[3,2,2,1,1,1],[2,1,1]]=>([(1,3),(2,4),(4,5)],6)=>([(1,3),(2,4),(4,5)],6) [[4,3,3,2,2,1],[3,2,2,1,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[4,3,3,2,1,1],[3,2,2,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[5,4,4,3,2,1],[4,3,3,2,1]]=>([(4,5)],6)=>([(4,5)],6) [[3,2,1,1,1,1],[2,1]]=>([(2,3),(3,5),(5,4)],6)=>([(2,3),(3,5),(5,4)],6) [[4,3,2,2,2,1],[3,2,1,1,1]]=>([(3,4),(4,5)],6)=>([(3,4),(4,5)],6) [[4,3,2,2,1,1],[3,2,1,1]]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [[5,4,3,3,2,1],[4,3,2,2,1]]=>([(4,5)],6)=>([(4,5)],6) [[4,3,2,1,1,1],[3,2,1]]=>([(3,4),(4,5)],6)=>([(3,4),(4,5)],6) [[5,4,3,2,2,1],[4,3,2,1,1]]=>([(4,5)],6)=>([(4,5)],6) [[5,4,3,2,1,1],[4,3,2,1]]=>([(4,5)],6)=>([(4,5)],6) [[6,5,4,3,2,1],[5,4,3,2,1]]=>([],6)=>([],6) [[7],[]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [[6,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) [[7,1],[1]]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) [[5,2],[]]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) [[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) [[7,2],[2]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) [[6,2,1],[1,1]]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) [[6,1,1],[1]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[7,2,1],[2,1]]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(2,6),(4,5),(5,3),(6,4)],7) [[4,3],[]]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) [[5,3],[1]]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) [[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) [[7,3],[3]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[4,2,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) [[5,3,1],[1,1]]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) [[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) [[6,3,1],[2,1]]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7) [[6,2,1],[2]]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7) [[7,3,1],[3,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) [[6,3,2],[2,2]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[6,2,2],[2,1]]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7) [[7,3,2],[3,2]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) [[5,2,2,1],[1,1,1]]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7) [[5,2,1,1],[1,1]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[6,3,2,1],[2,2,1]]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(2,6),(3,4),(4,5),(5,6)],7) [[5,1,1,1],[1]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[6,2,2,1],[2,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[6,2,1,1],[2,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[7,3,2,1],[3,2,1]]=>([(3,4),(4,6),(6,5)],7)=>([(3,4),(4,6),(6,5)],7) [[4,4],[1]]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) [[5,4],[2]]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) [[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) [[7,4],[4]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[3,3,1],[]]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [[4,4,1],[1,1]]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) [[4,3,1],[1]]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) [[5,4,1],[2,1]]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) [[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) [[6,4,1],[3,1]]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7) [[6,3,1],[3]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[7,4,1],[4,1]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[3,2,2],[]]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [[4,3,2],[1,1]]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) [[5,4,2],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,2,2],[1]]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) [[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) [[6,4,2],[3,2]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[5,2,2],[2]]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) [[6,3,2],[3,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[7,4,2],[4,2]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[3,2,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) [[4,3,2,1],[1,1,1]]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) [[4,3,1,1],[1,1]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,2,1],[2,2,1]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) [[5,3,2,1],[2,1,1]]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7) [[5,3,1,1],[2,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[6,4,2,1],[3,2,1]]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(2,5),(3,4),(3,6),(5,6)],7) [[5,2,1,1],[2]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[6,3,2,1],[3,1,1]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[6,3,1,1],[3,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[7,4,2,1],[4,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) [[6,4,3],[3,3]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[6,3,3],[3,2]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[7,4,3],[4,3]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) [[5,3,3,1],[2,2,1]]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7) [[5,3,2,1],[2,2]]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7) [[6,4,3,1],[3,3,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,2,2,1],[2,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[6,3,3,1],[3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[6,3,2,1],[3,2]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[7,4,3,1],[4,3,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) [[5,3,3,2],[2,2,2]]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7) [[5,3,2,2],[2,2,1]]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7) [[6,4,3,2],[3,3,2]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,2,2,2],[2,1,1]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[6,3,3,2],[3,2,2]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,3,2,2],[3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[7,4,3,2],[4,3,2]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) [[4,2,2,2,1],[1,1,1,1]]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7) [[4,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7) [[5,3,3,2,1],[2,2,2,1]]=>([(2,5),(2,6),(5,4),(6,3)],7)=>([(2,5),(3,4),(4,6),(5,6)],7) [[4,2,1,1,1],[1,1]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[5,3,2,2,1],[2,2,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,3,2,1,1],[2,2,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,4,3,2,1],[3,3,2,1]]=>([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7) [[4,1,1,1,1],[1]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[5,2,2,2,1],[2,1,1,1]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[5,2,2,1,1],[2,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,3,3,2,1],[3,2,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,2,1,1,1],[2,1]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[6,3,2,2,1],[3,2,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[6,3,2,1,1],[3,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[7,4,3,2,1],[4,3,2,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[5,5],[3]]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) [[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) [[7,5],[5]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[4,4,1],[2]]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) [[5,5,1],[3,1]]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) [[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) [[6,5,1],[4,1]]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7) [[6,4,1],[4]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[7,5,1],[5,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,2],[1]]=>([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7)=>([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) [[4,4,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) [[5,5,2],[3,2]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[4,3,2],[2]]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) [[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) [[6,5,2],[4,2]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[5,3,2],[3]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[6,4,2],[4,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[7,5,2],[5,2]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[3,3,1,1],[1]]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) [[4,4,2,1],[2,1,1]]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[4,4,1,1],[2,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[5,5,2,1],[3,2,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) [[5,4,2,1],[3,1,1]]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [[5,4,1,1],[3,1]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[6,5,2,1],[4,2,1]]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(2,6),(3,4),(3,6),(4,5)],7) [[5,3,1,1],[3]]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7) [[6,4,2,1],[4,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,4,1,1],[4,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[7,5,2,1],[5,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,3],[1,1]]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) [[4,4,3],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) [[5,5,3],[3,3]]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) [[4,3,3],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) [[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) [[6,5,3],[4,3]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[5,3,3],[3,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[6,4,3],[4,2]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[7,5,3],[5,3]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[2,2,2,1],[]]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) [[3,3,3,1],[1,1,1]]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) [[3,3,2,1],[1,1]]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) [[4,4,3,1],[2,2,1]]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,2,1],[2,2]]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) [[5,5,3,1],[3,3,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[3,2,2,1],[1]]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) [[4,3,3,1],[2,1,1]]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) [[5,4,3,1],[3,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7) [[5,4,2,1],[3,2]]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) [[6,5,3,1],[4,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,2,2,1],[2]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,3,3,1],[3,1,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,3,2,1],[3,1]]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7) [[6,4,3,1],[4,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,4,2,1],[4,2]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[7,5,3,1],[5,3,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[3,3,2,2],[1,1,1]]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) [[4,4,3,2],[2,2,2]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,2,2],[2,2,1]]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) [[5,5,3,2],[3,3,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) [[5,4,3,2],[3,2,2]]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7) [[5,4,2,2],[3,2,1]]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) [[6,5,3,2],[4,3,2]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,3,2,2],[3,1,1]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[6,4,3,2],[4,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,4,2,2],[4,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[7,5,3,2],[5,3,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[2,2,1,1,1],[]]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) [[3,3,2,2,1],[1,1,1,1]]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) [[3,3,2,1,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,3,2,1],[2,2,2,1]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[3,3,1,1,1],[1,1]]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) [[4,4,2,2,1],[2,2,1,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,2,1,1],[2,2,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,5,3,2,1],[3,3,2,1]]=>([(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(3,5),(4,6),(5,6)],7) [[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) [[4,3,2,2,1],[2,1,1,1]]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7) [[4,3,2,1,1],[2,1,1]]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7) [[5,4,3,2,1],[3,2,2,1]]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [[4,3,1,1,1],[2,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[5,4,2,2,1],[3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,2,1,1],[3,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,5,3,2,1],[4,3,2,1]]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7) [[4,2,1,1,1],[2]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[5,3,2,2,1],[3,1,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,3,2,1,1],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,4,3,2,1],[4,2,2,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[5,3,1,1,1],[3,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,4,2,2,1],[4,2,1,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,4,2,1,1],[4,2,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[7,5,3,2,1],[5,3,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) [[6,5,4],[4,4]]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7) [[6,4,4],[4,3]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[7,5,4],[5,4]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [[5,4,4,1],[3,3,1]]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7) [[5,4,3,1],[3,3]]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7) [[6,5,4,1],[4,4,1]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,3,3,1],[3,2]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[6,4,4,1],[4,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,4,3,1],[4,3]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[7,5,4,1],[5,4,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,2,2,2],[1,1]]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) [[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) [[5,4,4,2],[3,3,2]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[4,3,2,2],[2,2]]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) [[5,4,3,2],[3,3,1]]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) [[6,5,4,2],[4,4,2]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[4,2,2,2],[2,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[5,3,3,2],[3,2,1]]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7) [[6,4,4,2],[4,3,2]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,3,2,2],[3,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[6,4,3,2],[4,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[7,5,4,2],[5,4,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) [[4,3,3,2,1],[2,2,1,1]]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [[4,3,3,1,1],[2,2,1]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,4,4,2,1],[3,3,2,1]]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7) [[4,3,2,1,1],[2,2]]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7) [[5,4,3,2,1],[3,3,1,1]]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [[5,4,3,1,1],[3,3,1]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,5,4,2,1],[4,4,2,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[4,2,2,1,1],[2,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[5,3,3,2,1],[3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,3,3,1,1],[3,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[6,4,4,2,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[5,3,2,1,1],[3,2]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,4,3,2,1],[4,3,1,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,4,3,1,1],[4,3,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[7,5,4,2,1],[5,4,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) [[5,4,4,3],[3,3,3]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[5,4,3,3],[3,3,2]]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7) [[6,5,4,3],[4,4,3]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,3,3,3],[3,2,2]]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7) [[6,4,4,3],[4,3,3]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,4,3,3],[4,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[7,5,4,3],[5,4,3]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) [[4,3,3,3,1],[2,2,2,1]]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7) [[4,3,3,2,1],[2,2,2]]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7) [[5,4,4,3,1],[3,3,3,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[4,3,2,2,1],[2,2,1]]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) [[5,4,3,3,1],[3,3,2,1]]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,4),(3,5)],7) [[5,4,3,2,1],[3,3,2]]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [[6,5,4,3,1],[4,4,3,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[4,2,2,2,1],[2,1,1]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[5,3,3,3,1],[3,2,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,3,3,2,1],[3,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,4,4,3,1],[4,3,3,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,3,2,2,1],[3,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,4,3,3,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[6,4,3,2,1],[4,3,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[7,5,4,3,1],[5,4,3,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) [[4,3,3,3,2],[2,2,2,2]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[4,3,3,2,2],[2,2,2,1]]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7) [[5,4,4,3,2],[3,3,3,2]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[4,3,2,2,2],[2,2,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7) [[5,4,3,3,2],[3,3,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,4,3,2,2],[3,3,2,1]]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,4),(3,5)],7) [[6,5,4,3,2],[4,4,3,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[4,2,2,2,2],[2,1,1,1]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[5,3,3,3,2],[3,2,2,2]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,3,3,2,2],[3,2,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[6,4,4,3,2],[4,3,3,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,3,2,2,2],[3,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,4,3,3,2],[4,3,2,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,4,3,2,2],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[7,5,4,3,2],[5,4,3,2]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[2,1,1,1,1,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) [[3,2,2,2,2,1],[1,1,1,1,1]]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) [[3,2,2,2,1,1],[1,1,1,1]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[4,3,3,3,2,1],[2,2,2,2,1]]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(2,6),(3,4),(4,5),(5,6)],7) [[3,2,2,1,1,1],[1,1,1]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[4,3,3,2,2,1],[2,2,2,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[4,3,3,2,1,1],[2,2,2,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,4,4,3,2,1],[3,3,3,2,1]]=>([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7) [[3,2,1,1,1,1],[1,1]]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7) [[4,3,2,2,2,1],[2,2,1,1,1]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[4,3,2,2,1,1],[2,2,1,1]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,4,3,3,2,1],[3,3,2,2,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[4,3,2,1,1,1],[2,2,1]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,4,3,2,2,1],[3,3,2,1,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[5,4,3,2,1,1],[3,3,2,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,5,4,3,2,1],[4,4,3,2,1]]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [[3,1,1,1,1,1],[1]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[4,2,2,2,2,1],[2,1,1,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,2,2,2,1,1],[2,1,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,3,3,3,2,1],[3,2,2,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,2,2,1,1,1],[2,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,3,3,2,2,1],[3,2,2,1,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,3,3,2,1,1],[3,2,2,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,4,4,3,2,1],[4,3,3,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[4,2,1,1,1,1],[2,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,3,2,2,2,1],[3,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,3,2,2,1,1],[3,2,1,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,4,3,3,2,1],[4,3,2,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[5,3,2,1,1,1],[3,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[6,4,3,2,2,1],[4,3,2,1,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[6,4,3,2,1,1],[4,3,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[7,5,4,3,2,1],[5,4,3,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[6,6],[5]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) [[7,6],[6]]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) [[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) [[6,6,1],[5,1]]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) [[6,5,1],[5]]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) [[7,6,1],[6,1]]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(2,6),(4,5),(5,3),(6,4)],7) [[4,4,2],[3]]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) [[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) [[6,6,2],[5,2]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[5,4,2],[4]]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) [[6,5,2],[5,1]]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7) [[7,6,2],[6,2]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) [[5,5,2,1],[4,1,1]]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7) [[5,5,1,1],[4,1]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[6,6,2,1],[5,2,1]]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(2,4),(2,6),(5,3),(6,5)],7) [[5,4,1,1],[4]]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7) [[6,5,2,1],[5,1,1]]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(2,6),(3,4),(4,5),(5,6)],7) [[6,5,1,1],[5,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[7,6,2,1],[6,2,1]]=>([(3,4),(4,6),(6,5)],7)=>([(3,4),(4,6),(6,5)],7) [[3,3,3],[2]]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) [[4,4,3],[3,1]]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) [[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) [[6,6,3],[5,3]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[4,3,3],[3]]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) [[5,4,3],[4,1]]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) [[6,5,3],[5,2]]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7) [[7,6,3],[6,3]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[3,3,2,1],[2]]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) [[4,4,3,1],[3,1,1]]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) [[5,5,3,1],[4,2,1]]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7) [[5,5,2,1],[4,2]]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7) [[6,6,3,1],[5,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,3,2,1],[3]]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) [[5,4,3,1],[4,1,1]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[5,4,2,1],[4,1]]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7) [[6,5,3,1],[5,2,1]]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(2,5),(3,4),(3,6),(5,6)],7) [[6,5,2,1],[5,2]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[7,6,3,1],[6,3,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) [[5,5,3,2],[4,2,2]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,5,2,2],[4,2,1]]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7) [[6,6,3,2],[5,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,4,2,2],[4,1,1]]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7) [[6,5,3,2],[5,2,2]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,5,2,2],[5,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[7,6,3,2],[6,3,2]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) [[4,4,2,2,1],[3,1,1,1]]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7) [[4,4,2,1,1],[3,1,1]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,5,3,2,1],[4,2,2,1]]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7) [[4,4,1,1,1],[3,1]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[5,5,2,2,1],[4,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,5,2,1,1],[4,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,6,3,2,1],[5,3,2,1]]=>([(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5),(5,6)],7) [[4,3,1,1,1],[3]]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7) [[5,4,2,2,1],[4,1,1,1]]=>([(2,5),(2,6),(5,4),(6,3)],7)=>([(2,5),(3,4),(4,6),(5,6)],7) [[5,4,2,1,1],[4,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,5,3,2,1],[5,2,2,1]]=>([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7) [[5,4,1,1,1],[4,1]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[6,5,2,2,1],[5,2,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[6,5,2,1,1],[5,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[7,6,3,2,1],[6,3,2,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[4,4,4],[3,2]]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) [[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) [[6,6,4],[5,4]]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7) [[5,4,4],[4,2]]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) [[6,5,4],[5,3]]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7) [[7,6,4],[6,4]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,3,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) [[4,4,4,1],[3,2,1]]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) [[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) [[5,5,4,1],[4,3,1]]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7) [[5,5,3,1],[4,3]]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7) [[6,6,4,1],[5,4,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[4,3,3,1],[3,1]]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[5,4,4,1],[4,2,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[5,4,3,1],[4,2]]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [[6,5,4,1],[5,3,1]]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(2,6),(3,4),(3,6),(4,5)],7) [[6,5,3,1],[5,3]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[7,6,4,1],[6,4,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[2,2,2,2],[1]]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) [[3,3,3,2],[2,1,1]]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) [[4,4,4,2],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[3,3,2,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) [[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) [[5,5,4,2],[4,3,2]]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7) [[4,4,2,2],[3,2]]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) [[5,5,3,2],[4,3,1]]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) [[6,6,4,2],[5,4,2]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[3,2,2,2],[2]]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) [[4,3,3,2],[3,1,1]]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,4,2],[4,2,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,3,2,2],[3,1]]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[5,4,3,2],[4,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7) [[6,5,4,2],[5,3,2]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,2,2],[4,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[6,5,3,2],[5,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[7,6,4,2],[6,4,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[2,2,2,1,1],[1]]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) [[3,3,3,2,1],[2,1,1,1]]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) [[3,3,3,1,1],[2,1,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[4,4,4,2,1],[3,2,2,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) [[4,4,3,2,1],[3,2,1,1]]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7) [[4,4,3,1,1],[3,2,1]]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7) [[5,5,4,2,1],[4,3,2,1]]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7) [[4,4,2,1,1],[3,2]]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7) [[5,5,3,2,1],[4,3,1,1]]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,4),(3,5)],7) [[5,5,3,1,1],[4,3,1]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[6,6,4,2,1],[5,4,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[3,2,2,1,1],[2]]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) [[4,3,3,2,1],[3,1,1,1]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[4,3,3,1,1],[3,1,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,4,2,1],[4,2,2,1]]=>([(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(3,5),(4,6),(5,6)],7) [[4,3,2,1,1],[3,1]]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7) [[5,4,3,2,1],[4,2,1,1]]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [[5,4,3,1,1],[4,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,5,4,2,1],[5,3,2,1]]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7) [[5,4,2,1,1],[4,2]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,5,3,2,1],[5,3,1,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,5,3,1,1],[5,3,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[7,6,4,2,1],[6,4,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) [[5,5,4,3],[4,3,3]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[5,5,3,3],[4,3,2]]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7) [[6,6,4,3],[5,4,3]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,4,3,3],[4,2,2]]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7) [[6,5,4,3],[5,3,3]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[6,5,3,3],[5,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[7,6,4,3],[6,4,3]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) [[4,4,3,3,1],[3,2,2,1]]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7) [[4,4,3,2,1],[3,2,2]]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) [[5,5,4,3,1],[4,3,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,4,2,2,1],[3,2,1]]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) [[5,5,3,3,1],[4,3,2,1]]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,5),(1,6),(2,3),(2,4)],7) [[5,5,3,2,1],[4,3,2]]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,4),(3,5)],7) [[6,6,4,3,1],[5,4,3,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[4,3,2,2,1],[3,1,1]]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [[5,4,3,3,1],[4,2,2,1]]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7) [[5,4,3,2,1],[4,2,2]]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [[6,5,4,3,1],[5,3,3,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[5,4,2,2,1],[4,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,5,3,3,1],[5,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[6,5,3,2,1],[5,3,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[7,6,4,3,1],[6,4,3,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) [[4,4,3,3,2],[3,2,2,2]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[4,4,3,2,2],[3,2,2,1]]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) [[5,5,4,3,2],[4,3,3,2]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,4,2,2,2],[3,2,1,1]]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7) [[5,5,3,3,2],[4,3,2,2]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,5,3,2,2],[4,3,2,1]]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,5),(1,6),(2,3),(2,4)],7) [[6,6,4,3,2],[5,4,3,2]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[4,3,2,2,2],[3,1,1,1]]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7) [[5,4,3,3,2],[4,2,2,2]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,4,3,2,2],[4,2,2,1]]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,4),(3,5)],7) [[6,5,4,3,2],[5,3,3,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[5,4,2,2,2],[4,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,5,3,3,2],[5,3,2,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,5,3,2,2],[5,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[7,6,4,3,2],[6,4,3,2]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) [[3,3,2,2,2,1],[2,1,1,1,1]]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7) [[3,3,2,2,1,1],[2,1,1,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[4,4,3,3,2,1],[3,2,2,2,1]]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(2,5),(3,4),(3,6),(5,6)],7) [[3,3,2,1,1,1],[2,1,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[4,4,3,2,2,1],[3,2,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,4,3,2,1,1],[3,2,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,5,4,3,2,1],[4,3,3,2,1]]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7) [[3,3,1,1,1,1],[2,1]]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7) [[4,4,2,2,2,1],[3,2,1,1,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[4,4,2,2,1,1],[3,2,1,1]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,5,3,3,2,1],[4,3,2,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[4,4,2,1,1,1],[3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,5,3,2,2,1],[4,3,2,1,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[5,5,3,2,1,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[6,6,4,3,2,1],[5,4,3,2,1]]=>([(4,6),(5,6)],7)=>([(4,5),(4,6)],7) [[3,2,1,1,1,1],[2]]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) [[4,3,2,2,2,1],[3,1,1,1,1]]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(2,6),(3,4),(4,5),(5,6)],7) [[4,3,2,2,1,1],[3,1,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,4,3,3,2,1],[4,2,2,2,1]]=>([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7) [[4,3,2,1,1,1],[3,1,1]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,4,3,2,2,1],[4,2,2,1,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[5,4,3,2,1,1],[4,2,2,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,5,4,3,2,1],[5,3,3,2,1]]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [[4,3,1,1,1,1],[3,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,4,2,2,2,1],[4,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,4,2,2,1,1],[4,2,1,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,5,3,3,2,1],[5,3,2,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[5,4,2,1,1,1],[4,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[6,5,3,2,2,1],[5,3,2,1,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[6,5,3,2,1,1],[5,3,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[7,6,4,3,2,1],[6,4,3,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) [[6,6,5],[5,5]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[6,5,5],[5,4]]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) [[7,6,5],[6,5]]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(2,6),(4,5),(5,3),(6,4)],7) [[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) [[5,5,5,1],[4,4,1]]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7) [[5,5,4,1],[4,4]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[6,6,5,1],[5,5,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,4,4,1],[4,3]]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7) [[6,5,5,1],[5,4,1]]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(2,4),(2,6),(5,3),(6,5)],7) [[6,5,4,1],[5,4]]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(2,6),(3,4),(4,5),(5,6)],7) [[7,6,5,1],[6,5,1]]=>([(3,4),(4,6),(6,5)],7)=>([(3,4),(4,6),(6,5)],7) [[3,3,3,2],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) [[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) [[5,5,5,2],[4,4,2]]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7) [[4,4,3,2],[3,3]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,5,4,2],[4,4,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[6,6,5,2],[5,5,2]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,3,3,2],[3,2]]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,4,2],[4,3,1]]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7) [[6,5,5,2],[5,4,2]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,4,3,2],[4,3]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[6,5,4,2],[5,4,1]]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(2,5),(3,4),(3,6),(5,6)],7) [[7,6,5,2],[6,5,2]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) [[4,4,4,2,1],[3,3,1,1]]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7) [[4,4,4,1,1],[3,3,1]]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7) [[5,5,5,2,1],[4,4,2,1]]=>([(2,5),(3,4),(4,6),(5,6)],7)=>([(2,5),(2,6),(5,4),(6,3)],7) [[4,4,3,1,1],[3,3]]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7) [[5,5,4,2,1],[4,4,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,5,4,1,1],[4,4,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,6,5,2,1],[5,5,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,3,3,1,1],[3,2]]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7) [[5,4,4,2,1],[4,3,1,1]]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7) [[5,4,4,1,1],[4,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,5,5,2,1],[5,4,2,1]]=>([(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5),(5,6)],7) [[5,4,3,1,1],[4,3]]=>([(2,5),(2,6),(5,4),(6,3)],7)=>([(2,5),(3,4),(4,6),(5,6)],7) [[6,5,4,2,1],[5,4,1,1]]=>([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7) [[6,5,4,1,1],[5,4,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[7,6,5,2,1],[6,5,2,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[3,3,3,3],[2,2,1]]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) [[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) [[5,5,5,3],[4,4,3]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[4,4,3,3],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[5,5,4,3],[4,4,2]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[6,6,5,3],[5,5,3]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,3,3,3],[3,2,1]]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) [[5,4,4,3],[4,3,2]]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7) [[6,5,5,3],[5,4,3]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,4,3,3],[4,3,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[6,5,4,3],[5,4,2]]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(2,6),(3,4),(3,6),(4,5)],7) [[7,6,5,3],[6,5,3]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[2,2,2,2,1],[1,1]]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) [[3,3,3,3,1],[2,2,1,1]]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) [[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) [[4,4,4,3,1],[3,3,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7) [[4,4,4,2,1],[3,3,2]]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7) [[5,5,5,3,1],[4,4,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[3,3,2,2,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,3,3,1],[3,3,1,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,3,2,1],[3,3,1]]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7) [[5,5,4,3,1],[4,4,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,5,4,2,1],[4,4,2]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,6,5,3,1],[5,5,3,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[3,2,2,2,1],[2,1]]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) [[4,3,3,3,1],[3,2,1,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[4,3,3,2,1],[3,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7) [[5,4,4,3,1],[4,3,2,1]]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7) [[5,4,4,2,1],[4,3,2]]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,4),(3,5)],7) [[6,5,5,3,1],[5,4,3,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[4,3,2,2,1],[3,2]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[5,4,3,3,1],[4,3,1,1]]=>([(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(3,5),(4,6),(5,6)],7) [[5,4,3,2,1],[4,3,1]]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [[6,5,4,3,1],[5,4,2,1]]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7) [[6,5,4,2,1],[5,4,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[7,6,5,3,1],[6,5,3,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) [[4,4,4,3,2],[3,3,2,2]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[4,4,4,2,2],[3,3,2,1]]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7) [[5,5,5,3,2],[4,4,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,4,3,2,2],[3,3,1,1]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,5,4,3,2],[4,4,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,5,4,2,2],[4,4,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[6,6,5,3,2],[5,5,3,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[4,3,3,2,2],[3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7) [[5,4,4,3,2],[4,3,2,2]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,4,2,2],[4,3,2,1]]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,5),(1,6),(2,3),(2,4)],7) [[6,5,5,3,2],[5,4,3,2]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[5,4,3,2,2],[4,3,1,1]]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7) [[6,5,4,3,2],[5,4,2,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,5,4,2,2],[5,4,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[7,6,5,3,2],[6,5,3,2]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) [[3,3,3,2,2,1],[2,2,1,1,1]]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7) [[3,3,3,2,1,1],[2,2,1,1]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[4,4,4,3,2,1],[3,3,2,2,1]]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(2,6),(3,4),(3,6),(4,5)],7) [[3,3,3,1,1,1],[2,2,1]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[4,4,4,2,2,1],[3,3,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,4,4,2,1,1],[3,3,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,5,5,3,2,1],[4,4,3,2,1]]=>([(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5),(5,6)],7) [[3,3,2,1,1,1],[2,2]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[4,4,3,2,2,1],[3,3,1,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[4,4,3,2,1,1],[3,3,1,1]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,5,4,3,2,1],[4,4,2,2,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[4,4,3,1,1,1],[3,3,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,5,4,2,2,1],[4,4,2,1,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,5,4,2,1,1],[4,4,2,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,6,5,3,2,1],[5,5,3,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[3,2,2,1,1,1],[2,1]]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7) [[4,3,3,2,2,1],[3,2,1,1,1]]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(2,5),(3,4),(3,6),(5,6)],7) [[4,3,3,2,1,1],[3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,4,3,2,1],[4,3,2,2,1]]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7) [[4,3,3,1,1,1],[3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,4,4,2,2,1],[4,3,2,1,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[5,4,4,2,1,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[6,5,5,3,2,1],[5,4,3,2,1]]=>([(4,6),(5,6)],7)=>([(4,5),(4,6)],7) [[4,3,2,1,1,1],[3,2]]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(2,6),(3,4),(4,5),(5,6)],7) [[5,4,3,2,2,1],[4,3,1,1,1]]=>([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7) [[5,4,3,2,1,1],[4,3,1,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,5,4,3,2,1],[5,4,2,2,1]]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [[5,4,3,1,1,1],[4,3,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[6,5,4,2,2,1],[5,4,2,1,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[6,5,4,2,1,1],[5,4,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[7,6,5,3,2,1],[6,5,3,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) [[5,5,5,4],[4,4,4]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[5,5,4,4],[4,4,3]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[6,6,5,4],[5,5,4]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,4,4,4],[4,3,3]]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7) [[6,5,5,4],[5,4,4]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[6,5,4,4],[5,4,3]]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(2,4),(2,6),(5,3),(6,5)],7) [[7,6,5,4],[6,5,4]]=>([(3,4),(4,6),(6,5)],7)=>([(3,4),(4,6),(6,5)],7) [[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) [[4,4,4,4,1],[3,3,3,1]]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7) [[4,4,4,3,1],[3,3,3]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[5,5,5,4,1],[4,4,4,1]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,4,3,3,1],[3,3,2]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,5,4,4,1],[4,4,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,5,4,3,1],[4,4,3]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,6,5,4,1],[5,5,4,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,3,3,3,1],[3,2,2]]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7) [[5,4,4,4,1],[4,3,3,1]]=>([(2,5),(3,4),(4,6),(5,6)],7)=>([(2,5),(2,6),(5,4),(6,3)],7) [[5,4,4,3,1],[4,3,3]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,5,5,4,1],[5,4,4,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,1],[4,3,2]]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([(2,6),(3,4),(3,5),(5,6)],7) [[6,5,4,4,1],[5,4,3,1]]=>([(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5),(5,6)],7) [[6,5,4,3,1],[5,4,3]]=>([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7) [[7,6,5,4,1],[6,5,4,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[2,2,2,2,2],[1,1,1]]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) [[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) [[4,4,4,4,2],[3,3,3,2]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[3,3,3,2,2],[2,2,2]]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) [[4,4,4,3,2],[3,3,3,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[5,5,5,4,2],[4,4,4,2]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[3,3,2,2,2],[2,2,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[4,4,3,3,2],[3,3,2,1]]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7) [[5,5,4,4,2],[4,4,3,2]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[4,4,3,2,2],[3,3,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,5,4,3,2],[4,4,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,6,5,4,2],[5,5,4,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[3,2,2,2,2],[2,1,1]]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) [[4,3,3,3,2],[3,2,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7) [[5,4,4,4,2],[4,3,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,3,3,2,2],[3,2,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,4,3,2],[4,3,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,5,5,4,2],[5,4,4,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[4,3,2,2,2],[3,2,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[5,4,3,3,2],[4,3,2,1]]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,4),(3,6)],7) [[6,5,4,4,2],[5,4,3,2]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[5,4,3,2,2],[4,3,2]]=>([(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(3,5),(4,6),(5,6)],7) [[6,5,4,3,2],[5,4,3,1]]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7) [[7,6,5,4,2],[6,5,4,2]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) [[3,3,3,3,2,1],[2,2,2,1,1]]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7) [[3,3,3,3,1,1],[2,2,2,1]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[4,4,4,4,2,1],[3,3,3,2,1]]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(2,4),(2,6),(5,3),(6,5)],7) [[3,3,3,2,1,1],[2,2,2]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[4,4,4,3,2,1],[3,3,3,1,1]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[4,4,4,3,1,1],[3,3,3,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,5,5,4,2,1],[4,4,4,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,1,1],[2,2,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[4,4,3,3,2,1],[3,3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,4,3,3,1,1],[3,3,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,5,4,4,2,1],[4,4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[4,4,3,2,1,1],[3,3,2]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,5,4,3,2,1],[4,4,3,1,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[5,5,4,3,1,1],[4,4,3,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,6,5,4,2,1],[5,5,4,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[3,2,2,2,1,1],[2,1,1]]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7) [[4,3,3,3,2,1],[3,2,2,1,1]]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(2,6),(3,4),(3,6),(4,5)],7) [[4,3,3,3,1,1],[3,2,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,4,4,4,2,1],[4,3,3,2,1]]=>([(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5),(5,6)],7) [[4,3,3,2,1,1],[3,2,2]]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,4,4,3,2,1],[4,3,3,1,1]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[5,4,4,3,1,1],[4,3,3,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[6,5,5,4,2,1],[5,4,4,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[4,3,2,2,1,1],[3,2,1]]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(2,5),(3,4),(3,6),(5,6)],7) [[5,4,3,3,2,1],[4,3,2,1,1]]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7) [[5,4,3,3,1,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[6,5,4,4,2,1],[5,4,3,2,1]]=>([(4,6),(5,6)],7)=>([(4,5),(4,6)],7) [[5,4,3,2,1,1],[4,3,2]]=>([(3,4),(3,5),(5,6)],7)=>([(3,6),(4,5),(5,6)],7) [[6,5,4,3,2,1],[5,4,3,1,1]]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [[6,5,4,3,1,1],[5,4,3,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[7,6,5,4,2,1],[6,5,4,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) [[4,4,4,4,3],[3,3,3,3]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[4,4,4,3,3],[3,3,3,2]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[5,5,5,4,3],[4,4,4,3]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,4,3,3,3],[3,3,2,2]]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7) [[5,5,4,4,3],[4,4,3,3]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,5,4,3,3],[4,4,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,6,5,4,3],[5,5,4,3]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,3,3,3,3],[3,2,2,2]]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7) [[5,4,4,4,3],[4,3,3,3]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[5,4,4,3,3],[4,3,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,5,5,4,3],[5,4,4,3]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,3],[4,3,2,2]]=>([(2,5),(3,4),(4,6),(5,6)],7)=>([(2,5),(2,6),(5,4),(6,3)],7) [[6,5,4,4,3],[5,4,3,3]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[6,5,4,3,3],[5,4,3,2]]=>([(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5),(5,6)],7) [[7,6,5,4,3],[6,5,4,3]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) [[3,3,3,3,3,1],[2,2,2,2,1]]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) [[3,3,3,3,2,1],[2,2,2,2]]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7) [[4,4,4,4,3,1],[3,3,3,3,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,3,2,2,1],[2,2,2,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[4,4,4,3,3,1],[3,3,3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[4,4,4,3,2,1],[3,3,3,2]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,5,5,4,3,1],[4,4,4,3,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,2,1],[2,2,1,1]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[4,4,3,3,3,1],[3,3,2,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,4,3,3,2,1],[3,3,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,5,4,4,3,1],[4,4,3,3,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[4,4,3,2,2,1],[3,3,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,5,4,3,3,1],[4,4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[5,5,4,3,2,1],[4,4,3,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,6,5,4,3,1],[5,5,4,3,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[3,2,2,2,2,1],[2,1,1,1]]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7) [[4,3,3,3,3,1],[3,2,2,2,1]]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(2,4),(2,6),(5,3),(6,5)],7) [[4,3,3,3,2,1],[3,2,2,2]]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,4,4,4,3,1],[4,3,3,3,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,3,3,2,2,1],[3,2,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,4,3,3,1],[4,3,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[5,4,4,3,2,1],[4,3,3,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,5,5,4,3,1],[5,4,4,3,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[4,3,2,2,2,1],[3,2,1,1]]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(2,6),(3,4),(3,6),(4,5)],7) [[5,4,3,3,3,1],[4,3,2,2,1]]=>([(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5),(5,6)],7) [[5,4,3,3,2,1],[4,3,2,2]]=>([(2,6),(3,4),(3,5)],7)=>([(2,6),(3,6),(4,5)],7) [[6,5,4,4,3,1],[5,4,3,3,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[5,4,3,2,2,1],[4,3,2,1]]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(4,6)],7) [[6,5,4,3,3,1],[5,4,3,2,1]]=>([(4,6),(5,6)],7)=>([(4,5),(4,6)],7) [[6,5,4,3,2,1],[5,4,3,2]]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [[7,6,5,4,3,1],[6,5,4,3,1]]=>([(5,6)],7)=>([(5,6)],7) [[2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) [[3,3,3,3,3,2],[2,2,2,2,2]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[3,3,3,3,2,2],[2,2,2,2,1]]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7) [[4,4,4,4,3,2],[3,3,3,3,2]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,3,2,2,2],[2,2,2,1,1]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[4,4,4,3,3,2],[3,3,3,2,2]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,4,3,2,2],[3,3,3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,5,5,4,3,2],[4,4,4,3,2]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,2,2],[2,2,1,1,1]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[4,4,3,3,3,2],[3,3,2,2,2]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,3,3,2,2],[3,3,2,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,5,4,4,3,2],[4,4,3,3,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[4,4,3,2,2,2],[3,3,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,5,4,3,3,2],[4,4,3,2,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,5,4,3,2,2],[4,4,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[6,6,5,4,3,2],[5,5,4,3,2]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[3,2,2,2,2,2],[2,1,1,1,1]]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) [[4,3,3,3,3,2],[3,2,2,2,2]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,3,3,3,2,2],[3,2,2,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,4,4,4,3,2],[4,3,3,3,2]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,3,3,2,2,2],[3,2,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,4,4,3,3,2],[4,3,3,2,2]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,4,4,3,2,2],[4,3,3,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[6,5,5,4,3,2],[5,4,4,3,2]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[4,3,2,2,2,2],[3,2,1,1,1]]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(2,4),(2,6),(5,3),(6,5)],7) [[5,4,3,3,3,2],[4,3,2,2,2]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,2,2],[4,3,2,2,1]]=>([(2,6),(3,6),(4,5)],7)=>([(2,6),(3,4),(3,5)],7) [[6,5,4,4,3,2],[5,4,3,3,2]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[5,4,3,2,2,2],[4,3,2,1,1]]=>([(3,6),(4,5),(5,6)],7)=>([(3,4),(3,5),(5,6)],7) [[6,5,4,3,3,2],[5,4,3,2,2]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[6,5,4,3,2,2],[5,4,3,2,1]]=>([(4,6),(5,6)],7)=>([(4,5),(4,6)],7) [[7,6,5,4,3,2],[6,5,4,3,2]]=>([(5,6)],7)=>([(5,6)],7) [[1,1,1,1,1,1,1],[]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [[2,2,2,2,2,2,1],[1,1,1,1,1,1]]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) [[2,2,2,2,2,1,1],[1,1,1,1,1]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[3,3,3,3,3,2,1],[2,2,2,2,2,1]]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(2,6),(4,5),(5,3),(6,4)],7) [[2,2,2,2,1,1,1],[1,1,1,1]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[3,3,3,3,2,2,1],[2,2,2,2,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,3,3,2,1,1],[2,2,2,2,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,4,4,4,3,2,1],[3,3,3,3,2,1]]=>([(3,4),(4,6),(6,5)],7)=>([(3,4),(4,6),(6,5)],7) [[2,2,2,1,1,1,1],[1,1,1]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[3,3,3,2,2,2,1],[2,2,2,1,1,1]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[3,3,3,2,2,1,1],[2,2,2,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,4,3,3,2,1],[3,3,3,2,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,3,2,1,1,1],[2,2,2,1]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,4,4,3,2,2,1],[3,3,3,2,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,4,4,3,2,1,1],[3,3,3,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,5,5,4,3,2,1],[4,4,4,3,2,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[2,2,1,1,1,1,1],[1,1]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[3,3,2,2,2,2,1],[2,2,1,1,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,2,2,2,1,1],[2,2,1,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,3,3,3,2,1],[3,3,2,2,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,1,1,1],[2,2,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7)=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,3,3,2,2,1],[3,3,2,2,1,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[4,4,3,3,2,1,1],[3,3,2,2,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,5,4,4,3,2,1],[4,4,3,3,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[3,3,2,1,1,1,1],[2,2,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,4,3,2,2,2,1],[3,3,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,4,3,2,2,1,1],[3,3,2,1,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,5,4,3,3,2,1],[4,4,3,2,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[4,4,3,2,1,1,1],[3,3,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,5,4,3,2,2,1],[4,4,3,2,1,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[5,5,4,3,2,1,1],[4,4,3,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[6,6,5,4,3,2,1],[5,5,4,3,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[2,1,1,1,1,1,1],[1]]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) [[3,2,2,2,2,2,1],[2,1,1,1,1,1]]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(2,6),(4,5),(5,3),(6,4)],7) [[3,2,2,2,2,1,1],[2,1,1,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,3,3,3,3,2,1],[3,2,2,2,2,1]]=>([(3,4),(4,6),(6,5)],7)=>([(3,4),(4,6),(6,5)],7) [[3,2,2,2,1,1,1],[2,1,1,1]]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,3,3,3,2,2,1],[3,2,2,2,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,3,3,3,2,1,1],[3,2,2,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,4,4,4,3,2,1],[4,3,3,3,2,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[3,2,2,1,1,1,1],[2,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,3,3,2,2,2,1],[3,2,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[4,3,3,2,2,1,1],[3,2,2,1,1]]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [[5,4,4,3,3,2,1],[4,3,3,2,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[4,3,3,2,1,1,1],[3,2,2,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,4,4,3,2,2,1],[4,3,3,2,1,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[5,4,4,3,2,1,1],[4,3,3,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[6,5,5,4,3,2,1],[5,4,4,3,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[3,2,1,1,1,1,1],[2,1]]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(2,6),(4,5),(5,3),(6,4)],7) [[4,3,2,2,2,2,1],[3,2,1,1,1,1]]=>([(3,4),(4,6),(6,5)],7)=>([(3,4),(4,6),(6,5)],7) [[4,3,2,2,2,1,1],[3,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,3,2,1],[4,3,2,2,2,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[4,3,2,2,1,1,1],[3,2,1,1]]=>([(2,4),(3,5),(5,6)],7)=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,2,2,1],[4,3,2,2,1,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[5,4,3,3,2,1,1],[4,3,2,2,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[6,5,4,4,3,2,1],[5,4,3,3,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[4,3,2,1,1,1,1],[3,2,1]]=>([(3,4),(4,6),(6,5)],7)=>([(3,4),(4,6),(6,5)],7) [[5,4,3,2,2,2,1],[4,3,2,1,1,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[5,4,3,2,2,1,1],[4,3,2,1,1]]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [[6,5,4,3,3,2,1],[5,4,3,2,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[5,4,3,2,1,1,1],[4,3,2,1]]=>([(4,5),(5,6)],7)=>([(4,5),(5,6)],7) [[6,5,4,3,2,2,1],[5,4,3,2,1,1]]=>([(5,6)],7)=>([(5,6)],7) [[6,5,4,3,2,1,1],[5,4,3,2,1]]=>([(5,6)],7)=>([(5,6)],7) [[7,6,5,4,3,2,1],[6,5,4,3,2,1]]=>([],7)=>([],7) [[8],[]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [[6,2],[]]=>([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8) [[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8) [[4,4],[]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8) [[2,2,2,2],[]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [[2,2,1,1,1,1],[]]=>([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8) [[1,1,1,1,1,1,1,1],[]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [[3,3,3],[]]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [[5,5],[]]=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [[2,2,2,2,2],[]]=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [[4,4,4],[]]=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [[3,3,3,3],[]]=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [[2,2,2,2,2,2,2],[1,1,1,1,1,1]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) [[4,4,3,3,2],[3,2,2,1]]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)=>([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7)],8) [[5,5,4,2],[4,3,1]]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)=>([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7)],8) [[6,5,2],[4,1]]=>([(0,6),(1,4),(1,6),(2,3),(2,7),(4,5),(5,7)],8)=>([(0,6),(1,4),(1,6),(2,3),(2,7),(4,5),(5,7)],8) [[3,3,3,3,3,3],[2,2,2,2,2]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) [[4,4,4,4,4],[3,3,3,3]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) [[5,5,5,5],[4,4,4]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) [[6,6,6],[5,5]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) [[7,7],[6]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) [[2,2,2,2,1],[1]]=>([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8)=>([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8) [[3,3,3,2],[1,1,1]]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) [[4,4,3],[2,1]]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)=>([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8) [[5,4],[1]]=>([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8)=>([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8) [[3,3,3,2],[2,1]]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)=>([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8) [[4,4,3],[3]]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) [[4,4,4,4],[3,2,1]]=>([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10)=>([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10)
Map
cell poset
Description
The Young diagram of a skew partition regarded as a poset.
This is the poset on the cells of the Young diagram, such that a cell $d$ is greater than a cell $c$ if the entry in $d$ must be larger than the entry of $c$ in any standard Young tableau on the skew partition.
Map
dual poset
Description
The dual of a poset.
The dual (or opposite) of a poset $(\mathcal P,\leq)$ is the poset $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.