Identifier
Images
=>
Cc0028;cc-rep-0Cc0028;cc-rep-1Cc0014;cc-rep-2
[[1],[]]=>[[1],[]]=>([],1) [[2],[]]=>[[2],[]]=>([(0,1)],2) [[1,1],[]]=>[[1,1],[]]=>([(0,1)],2) [[2,1],[1]]=>[[2,1],[1]]=>([],2) [[3],[]]=>[[3],[]]=>([(0,2),(2,1)],3) [[2,1],[]]=>[[2,2],[1]]=>([(0,2),(1,2)],3) [[3,1],[1]]=>[[3,2],[2]]=>([(1,2)],3) [[2,2],[1]]=>[[2,1],[]]=>([(0,1),(0,2)],3) [[3,2],[2]]=>[[3,1],[1]]=>([(1,2)],3) [[1,1,1],[]]=>[[1,1,1],[]]=>([(0,2),(2,1)],3) [[2,2,1],[1,1]]=>[[2,1,1],[1]]=>([(1,2)],3) [[2,1,1],[1]]=>[[2,2,1],[1,1]]=>([(1,2)],3) [[3,2,1],[2,1]]=>[[3,2,1],[2,1]]=>([],3) [[4],[]]=>[[4],[]]=>([(0,3),(2,1),(3,2)],4) [[3,1],[]]=>[[3,3],[2]]=>([(0,3),(1,2),(2,3)],4) [[4,1],[1]]=>[[4,3],[3]]=>([(1,2),(2,3)],4) [[2,2],[]]=>[[2,2],[]]=>([(0,1),(0,2),(1,3),(2,3)],4) [[3,2],[1]]=>[[3,2],[1]]=>([(0,3),(1,2),(1,3)],4) [[4,2],[2]]=>[[4,2],[2]]=>([(0,3),(1,2)],4) [[2,1,1],[]]=>[[2,2,2],[1,1]]=>([(0,3),(1,2),(2,3)],4) [[3,2,1],[1,1]]=>[[3,2,2],[2,1]]=>([(1,3),(2,3)],4) [[3,1,1],[1]]=>[[3,3,2],[2,2]]=>([(0,3),(1,2)],4) [[4,2,1],[2,1]]=>[[4,3,2],[3,2]]=>([(2,3)],4) [[3,3],[2]]=>[[3,1],[]]=>([(0,2),(0,3),(3,1)],4) [[4,3],[3]]=>[[4,1],[1]]=>([(1,2),(2,3)],4) [[2,2,1],[1]]=>[[2,2,1],[1]]=>([(0,3),(1,2),(1,3)],4) [[3,3,1],[2,1]]=>[[3,2,1],[2]]=>([(1,2),(1,3)],4) [[3,2,1],[2]]=>[[3,3,1],[2,1]]=>([(1,3),(2,3)],4) [[4,3,1],[3,1]]=>[[4,3,1],[3,1]]=>([(2,3)],4) [[2,2,2],[1,1]]=>[[2,1,1],[]]=>([(0,2),(0,3),(3,1)],4) [[3,3,2],[2,2]]=>[[3,1,1],[1]]=>([(0,3),(1,2)],4) [[3,2,2],[2,1]]=>[[3,2,1],[1,1]]=>([(1,2),(1,3)],4) [[4,3,2],[3,2]]=>[[4,2,1],[2,1]]=>([(2,3)],4) [[1,1,1,1],[]]=>[[1,1,1,1],[]]=>([(0,3),(2,1),(3,2)],4) [[2,2,2,1],[1,1,1]]=>[[2,1,1,1],[1]]=>([(1,2),(2,3)],4) [[2,2,1,1],[1,1]]=>[[2,2,1,1],[1,1]]=>([(0,3),(1,2)],4) [[3,3,2,1],[2,2,1]]=>[[3,2,1,1],[2,1]]=>([(2,3)],4) [[2,1,1,1],[1]]=>[[2,2,2,1],[1,1,1]]=>([(1,2),(2,3)],4) [[3,2,2,1],[2,1,1]]=>[[3,2,2,1],[2,1,1]]=>([(2,3)],4) [[3,2,1,1],[2,1]]=>[[3,3,2,1],[2,2,1]]=>([(2,3)],4) [[4,3,2,1],[3,2,1]]=>[[4,3,2,1],[3,2,1]]=>([],4) [[5],[]]=>[[5],[]]=>([(0,4),(2,3),(3,1),(4,2)],5) [[4,1],[]]=>[[4,4],[3]]=>([(0,4),(1,2),(2,3),(3,4)],5) [[5,1],[1]]=>[[5,4],[4]]=>([(1,4),(3,2),(4,3)],5) [[3,2],[]]=>[[3,3],[1]]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5) [[4,2],[1]]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5) [[5,2],[2]]=>[[5,3],[3]]=>([(0,3),(1,4),(4,2)],5) [[3,1,1],[]]=>[[3,3,3],[2,2]]=>([(0,3),(1,2),(2,4),(3,4)],5) [[4,2,1],[1,1]]=>[[4,3,3],[3,2]]=>([(1,4),(2,3),(3,4)],5) [[4,1,1],[1]]=>[[4,4,3],[3,3]]=>([(0,3),(1,4),(4,2)],5) [[5,2,1],[2,1]]=>[[5,4,3],[4,3]]=>([(2,3),(3,4)],5) [[3,3],[1]]=>[[3,2],[]]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5) [[4,3],[2]]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5) [[5,3],[3]]=>[[5,2],[2]]=>([(0,3),(1,4),(4,2)],5) [[2,2,1],[]]=>[[2,2,2],[1]]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5) [[3,3,1],[1,1]]=>[[3,2,2],[2]]=>([(1,2),(1,3),(2,4),(3,4)],5) [[3,2,1],[1]]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5) [[4,3,1],[2,1]]=>[[4,3,2],[3,1]]=>([(1,4),(2,3),(2,4)],5) [[4,2,1],[2]]=>[[4,4,2],[3,2]]=>([(0,4),(1,4),(2,3)],5) [[5,3,1],[3,1]]=>[[5,4,2],[4,2]]=>([(1,4),(2,3)],5) [[3,2,2],[1,1]]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5) [[4,3,2],[2,2]]=>[[4,2,2],[2,1]]=>([(0,4),(1,4),(2,3)],5) [[4,2,2],[2,1]]=>[[4,3,2],[2,2]]=>([(0,4),(1,2),(1,3)],5) [[5,3,2],[3,2]]=>[[5,3,2],[3,2]]=>([(1,4),(2,3)],5) [[2,1,1,1],[]]=>[[2,2,2,2],[1,1,1]]=>([(0,4),(1,2),(2,3),(3,4)],5) [[3,2,2,1],[1,1,1]]=>[[3,2,2,2],[2,1,1]]=>([(1,4),(2,3),(3,4)],5) [[3,2,1,1],[1,1]]=>[[3,3,2,2],[2,2,1]]=>([(0,4),(1,4),(2,3)],5) [[4,3,2,1],[2,2,1]]=>[[4,3,2,2],[3,2,1]]=>([(2,4),(3,4)],5) [[3,1,1,1],[1]]=>[[3,3,3,2],[2,2,2]]=>([(0,3),(1,4),(4,2)],5) [[4,2,2,1],[2,1,1]]=>[[4,3,3,2],[3,2,2]]=>([(1,4),(2,3)],5) [[4,2,1,1],[2,1]]=>[[4,4,3,2],[3,3,2]]=>([(1,4),(2,3)],5) [[5,3,2,1],[3,2,1]]=>[[5,4,3,2],[4,3,2]]=>([(3,4)],5) [[4,4],[3]]=>[[4,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5) [[5,4],[4]]=>[[5,1],[1]]=>([(1,4),(3,2),(4,3)],5) [[3,3,1],[2]]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5) [[4,4,1],[3,1]]=>[[4,3,1],[3]]=>([(1,3),(1,4),(4,2)],5) [[4,3,1],[3]]=>[[4,4,1],[3,1]]=>([(1,4),(2,3),(3,4)],5) [[5,4,1],[4,1]]=>[[5,4,1],[4,1]]=>([(2,3),(3,4)],5) [[2,2,2],[1]]=>[[2,2,1],[]]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5) [[3,3,2],[2,1]]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5) [[4,4,2],[3,2]]=>[[4,2,1],[2]]=>([(0,4),(1,2),(1,3)],5) [[3,2,2],[2]]=>[[3,3,1],[1,1]]=>([(1,2),(1,3),(2,4),(3,4)],5) [[4,3,2],[3,1]]=>[[4,3,1],[2,1]]=>([(1,4),(2,3),(2,4)],5) [[5,4,2],[4,2]]=>[[5,3,1],[3,1]]=>([(1,4),(2,3)],5) [[2,2,1,1],[1]]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5) [[3,3,2,1],[2,1,1]]=>[[3,2,2,1],[2,1]]=>([(1,4),(2,3),(2,4)],5) [[3,3,1,1],[2,1]]=>[[3,3,2,1],[2,2]]=>([(0,4),(1,2),(1,3)],5) [[4,4,2,1],[3,2,1]]=>[[4,3,2,1],[3,2]]=>([(2,3),(2,4)],5) [[3,2,1,1],[2]]=>[[3,3,3,1],[2,2,1]]=>([(1,4),(2,3),(3,4)],5) [[4,3,2,1],[3,1,1]]=>[[4,3,3,1],[3,2,1]]=>([(2,4),(3,4)],5) [[4,3,1,1],[3,1]]=>[[4,4,3,1],[3,3,1]]=>([(1,4),(2,3)],5) [[5,4,2,1],[4,2,1]]=>[[5,4,3,1],[4,3,1]]=>([(3,4)],5) [[3,3,3],[2,2]]=>[[3,1,1],[]]=>([(0,3),(0,4),(3,2),(4,1)],5) [[4,4,3],[3,3]]=>[[4,1,1],[1]]=>([(0,3),(1,4),(4,2)],5) [[4,3,3],[3,2]]=>[[4,2,1],[1,1]]=>([(1,3),(1,4),(4,2)],5) [[5,4,3],[4,3]]=>[[5,2,1],[2,1]]=>([(2,3),(3,4)],5) [[2,2,2,1],[1,1]]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5) [[3,3,3,1],[2,2,1]]=>[[3,2,1,1],[2]]=>([(1,3),(1,4),(4,2)],5) [[3,3,2,1],[2,2]]=>[[3,3,1,1],[2,1]]=>([(0,4),(1,4),(2,3)],5) [[4,4,3,1],[3,3,1]]=>[[4,3,1,1],[3,1]]=>([(1,4),(2,3)],5) [[3,2,2,1],[2,1]]=>[[3,3,2,1],[2,1,1]]=>([(1,4),(2,3),(2,4)],5) [[4,3,3,1],[3,2,1]]=>[[4,3,2,1],[3,1,1]]=>([(2,3),(2,4)],5) [[4,3,2,1],[3,2]]=>[[4,4,2,1],[3,2,1]]=>([(2,4),(3,4)],5) [[5,4,3,1],[4,3,1]]=>[[5,4,2,1],[4,2,1]]=>([(3,4)],5) [[2,2,2,2],[1,1,1]]=>[[2,1,1,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5) [[3,3,3,2],[2,2,2]]=>[[3,1,1,1],[1]]=>([(0,3),(1,4),(4,2)],5) [[3,3,2,2],[2,2,1]]=>[[3,2,1,1],[1,1]]=>([(0,4),(1,2),(1,3)],5) [[4,4,3,2],[3,3,2]]=>[[4,2,1,1],[2,1]]=>([(1,4),(2,3)],5) [[3,2,2,2],[2,1,1]]=>[[3,2,2,1],[1,1,1]]=>([(1,3),(1,4),(4,2)],5) [[4,3,3,2],[3,2,2]]=>[[4,2,2,1],[2,1,1]]=>([(1,4),(2,3)],5) [[4,3,2,2],[3,2,1]]=>[[4,3,2,1],[2,2,1]]=>([(2,3),(2,4)],5) [[5,4,3,2],[4,3,2]]=>[[5,3,2,1],[3,2,1]]=>([(3,4)],5) [[1,1,1,1,1],[]]=>[[1,1,1,1,1],[]]=>([(0,4),(2,3),(3,1),(4,2)],5) [[2,2,2,2,1],[1,1,1,1]]=>[[2,1,1,1,1],[1]]=>([(1,4),(3,2),(4,3)],5) [[2,2,2,1,1],[1,1,1]]=>[[2,2,1,1,1],[1,1]]=>([(0,3),(1,4),(4,2)],5) [[3,3,3,2,1],[2,2,2,1]]=>[[3,2,1,1,1],[2,1]]=>([(2,3),(3,4)],5) [[2,2,1,1,1],[1,1]]=>[[2,2,2,1,1],[1,1,1]]=>([(0,3),(1,4),(4,2)],5) [[3,3,2,2,1],[2,2,1,1]]=>[[3,2,2,1,1],[2,1,1]]=>([(1,4),(2,3)],5) [[3,3,2,1,1],[2,2,1]]=>[[3,3,2,1,1],[2,2,1]]=>([(1,4),(2,3)],5) [[4,4,3,2,1],[3,3,2,1]]=>[[4,3,2,1,1],[3,2,1]]=>([(3,4)],5) [[2,1,1,1,1],[1]]=>[[2,2,2,2,1],[1,1,1,1]]=>([(1,4),(3,2),(4,3)],5) [[3,2,2,2,1],[2,1,1,1]]=>[[3,2,2,2,1],[2,1,1,1]]=>([(2,3),(3,4)],5) [[3,2,2,1,1],[2,1,1]]=>[[3,3,2,2,1],[2,2,1,1]]=>([(1,4),(2,3)],5) [[4,3,3,2,1],[3,2,2,1]]=>[[4,3,2,2,1],[3,2,1,1]]=>([(3,4)],5) [[3,2,1,1,1],[2,1]]=>[[3,3,3,2,1],[2,2,2,1]]=>([(2,3),(3,4)],5) [[4,3,2,2,1],[3,2,1,1]]=>[[4,3,3,2,1],[3,2,2,1]]=>([(3,4)],5) [[4,3,2,1,1],[3,2,1]]=>[[4,4,3,2,1],[3,3,2,1]]=>([(3,4)],5) [[5,4,3,2,1],[4,3,2,1]]=>[[5,4,3,2,1],[4,3,2,1]]=>([],5) [[6],[]]=>[[6],[]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[5,1],[]]=>[[5,5],[4]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [[6,1],[1]]=>[[6,5],[5]]=>([(1,5),(3,4),(4,2),(5,3)],6) [[4,2],[]]=>[[4,4],[2]]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) [[5,2],[1]]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6) [[6,2],[2]]=>[[6,4],[4]]=>([(0,5),(1,3),(4,2),(5,4)],6) [[4,1,1],[]]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6) [[5,2,1],[1,1]]=>[[5,4,4],[4,3]]=>([(1,5),(2,3),(3,4),(4,5)],6) [[5,1,1],[1]]=>[[5,5,4],[4,4]]=>([(0,5),(1,3),(4,2),(5,4)],6) [[6,2,1],[2,1]]=>[[6,5,4],[5,4]]=>([(2,3),(3,5),(5,4)],6) [[3,3],[]]=>[[3,3],[]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [[4,3],[1]]=>[[4,3],[1]]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) [[5,3],[2]]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6) [[6,3],[3]]=>[[6,3],[3]]=>([(0,5),(1,4),(4,2),(5,3)],6) [[3,2,1],[]]=>[[3,3,3],[2,1]]=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) [[4,3,1],[1,1]]=>[[4,3,3],[3,1]]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6) [[4,2,1],[1]]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6) [[5,3,1],[2,1]]=>[[5,4,3],[4,2]]=>([(1,4),(2,3),(2,5),(4,5)],6) [[5,2,1],[2]]=>[[5,5,3],[4,3]]=>([(0,5),(1,5),(2,3),(3,4)],6) [[6,3,1],[3,1]]=>[[6,5,3],[5,3]]=>([(1,3),(2,4),(4,5)],6) [[4,2,2],[1,1]]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6) [[5,3,2],[2,2]]=>[[5,3,3],[3,2]]=>([(0,5),(1,3),(2,4),(4,5)],6) [[5,2,2],[2,1]]=>[[5,4,3],[3,3]]=>([(0,5),(1,3),(1,4),(5,2)],6) [[6,3,2],[3,2]]=>[[6,4,3],[4,3]]=>([(1,3),(2,4),(4,5)],6) [[3,1,1,1],[]]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6) [[4,2,2,1],[1,1,1]]=>[[4,3,3,3],[3,2,2]]=>([(1,4),(2,3),(3,5),(4,5)],6) [[4,2,1,1],[1,1]]=>[[4,4,3,3],[3,3,2]]=>([(0,5),(1,3),(2,4),(4,5)],6) [[5,3,2,1],[2,2,1]]=>[[5,4,3,3],[4,3,2]]=>([(2,5),(3,4),(4,5)],6) [[4,1,1,1],[1]]=>[[4,4,4,3],[3,3,3]]=>([(0,5),(1,4),(4,2),(5,3)],6) [[5,2,2,1],[2,1,1]]=>[[5,4,4,3],[4,3,3]]=>([(1,3),(2,4),(4,5)],6) [[5,2,1,1],[2,1]]=>[[5,5,4,3],[4,4,3]]=>([(1,3),(2,4),(4,5)],6) [[6,3,2,1],[3,2,1]]=>[[6,5,4,3],[5,4,3]]=>([(3,4),(4,5)],6) [[4,4],[2]]=>[[4,2],[]]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) [[5,4],[3]]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6) [[6,4],[4]]=>[[6,2],[2]]=>([(0,5),(1,3),(4,2),(5,4)],6) [[3,3,1],[1]]=>[[3,3,2],[2]]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) [[4,4,1],[2,1]]=>[[4,3,2],[3]]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6) [[4,3,1],[2]]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [[5,4,1],[3,1]]=>[[5,4,2],[4,1]]=>([(1,5),(2,3),(2,5),(3,4)],6) [[5,3,1],[3]]=>[[5,5,2],[4,2]]=>([(0,5),(1,3),(2,4),(4,5)],6) [[6,4,1],[4,1]]=>[[6,5,2],[5,2]]=>([(1,3),(2,4),(4,5)],6) [[2,2,2],[]]=>[[2,2,2],[]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [[3,3,2],[1,1]]=>[[3,2,2],[1]]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) [[4,4,2],[2,2]]=>[[4,2,2],[2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6) [[3,2,2],[1]]=>[[3,3,2],[1,1]]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) [[4,3,2],[2,1]]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6) [[5,4,2],[3,2]]=>[[5,3,2],[3,1]]=>([(0,5),(1,3),(2,4),(2,5)],6) [[4,2,2],[2]]=>[[4,4,2],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6) [[5,3,2],[3,1]]=>[[5,4,2],[3,2]]=>([(0,5),(1,3),(2,4),(2,5)],6) [[6,4,2],[4,2]]=>[[6,4,2],[4,2]]=>([(0,5),(1,4),(2,3)],6) [[2,2,1,1],[]]=>[[2,2,2,2],[1,1]]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) [[3,3,2,1],[1,1,1]]=>[[3,2,2,2],[2,1]]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6) [[3,3,1,1],[1,1]]=>[[3,3,2,2],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6) [[4,4,2,1],[2,2,1]]=>[[4,3,2,2],[3,2]]=>([(2,3),(2,4),(3,5),(4,5)],6) [[3,2,1,1],[1]]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6) [[4,3,2,1],[2,1,1]]=>[[4,3,3,2],[3,2,1]]=>([(1,5),(2,4),(3,4),(3,5)],6) [[4,3,1,1],[2,1]]=>[[4,4,3,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5)],6) [[5,4,2,1],[3,2,1]]=>[[5,4,3,2],[4,3,1]]=>([(2,5),(3,4),(3,5)],6) [[4,2,1,1],[2]]=>[[4,4,4,2],[3,3,2]]=>([(0,5),(1,3),(2,4),(4,5)],6) [[5,3,2,1],[3,1,1]]=>[[5,4,4,2],[4,3,2]]=>([(1,5),(2,5),(3,4)],6) [[5,3,1,1],[3,1]]=>[[5,5,4,2],[4,4,2]]=>([(0,5),(1,4),(2,3)],6) [[6,4,2,1],[4,2,1]]=>[[6,5,4,2],[5,4,2]]=>([(2,5),(3,4)],6) [[4,3,3],[2,2]]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6) [[5,4,3],[3,3]]=>[[5,2,2],[2,1]]=>([(0,5),(1,5),(2,3),(3,4)],6) [[5,3,3],[3,2]]=>[[5,3,2],[2,2]]=>([(0,4),(1,3),(1,5),(5,2)],6) [[6,4,3],[4,3]]=>[[6,3,2],[3,2]]=>([(1,3),(2,4),(4,5)],6) [[3,2,2,1],[1,1]]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [[4,3,3,1],[2,2,1]]=>[[4,3,2,2],[3,1,1]]=>([(1,5),(2,3),(2,4),(4,5)],6) [[4,3,2,1],[2,2]]=>[[4,4,2,2],[3,2,1]]=>([(0,5),(1,5),(2,4),(3,4)],6) [[5,4,3,1],[3,3,1]]=>[[5,4,2,2],[4,2,1]]=>([(1,5),(2,5),(3,4)],6) [[4,2,2,1],[2,1]]=>[[4,4,3,2],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5)],6) [[5,3,3,1],[3,2,1]]=>[[5,4,3,2],[4,2,2]]=>([(1,5),(2,3),(2,4)],6) [[5,3,2,1],[3,2]]=>[[5,5,3,2],[4,3,2]]=>([(1,5),(2,5),(3,4)],6) [[6,4,3,1],[4,3,1]]=>[[6,5,3,2],[5,3,2]]=>([(2,5),(3,4)],6) [[3,2,2,2],[1,1,1]]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6) [[4,3,3,2],[2,2,2]]=>[[4,2,2,2],[2,1,1]]=>([(0,5),(1,3),(2,4),(4,5)],6) [[4,3,2,2],[2,2,1]]=>[[4,3,2,2],[2,2,1]]=>([(0,5),(1,5),(2,3),(2,4)],6) [[5,4,3,2],[3,3,2]]=>[[5,3,2,2],[3,2,1]]=>([(1,5),(2,5),(3,4)],6) [[4,2,2,2],[2,1,1]]=>[[4,3,3,2],[2,2,2]]=>([(0,4),(1,3),(1,5),(5,2)],6) [[5,3,3,2],[3,2,2]]=>[[5,3,3,2],[3,2,2]]=>([(0,5),(1,4),(2,3)],6) [[5,3,2,2],[3,2,1]]=>[[5,4,3,2],[3,3,2]]=>([(1,5),(2,3),(2,4)],6) [[6,4,3,2],[4,3,2]]=>[[6,4,3,2],[4,3,2]]=>([(2,5),(3,4)],6) [[2,1,1,1,1],[]]=>[[2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [[3,2,2,2,1],[1,1,1,1]]=>[[3,2,2,2,2],[2,1,1,1]]=>([(1,5),(2,3),(3,4),(4,5)],6) [[3,2,2,1,1],[1,1,1]]=>[[3,3,2,2,2],[2,2,1,1]]=>([(0,5),(1,3),(2,4),(4,5)],6) [[4,3,3,2,1],[2,2,2,1]]=>[[4,3,2,2,2],[3,2,1,1]]=>([(2,5),(3,4),(4,5)],6) [[3,2,1,1,1],[1,1]]=>[[3,3,3,2,2],[2,2,2,1]]=>([(0,5),(1,5),(2,3),(3,4)],6) [[4,3,2,2,1],[2,2,1,1]]=>[[4,3,3,2,2],[3,2,2,1]]=>([(1,5),(2,5),(3,4)],6) [[4,3,2,1,1],[2,2,1]]=>[[4,4,3,2,2],[3,3,2,1]]=>([(1,5),(2,5),(3,4)],6) [[5,4,3,2,1],[3,3,2,1]]=>[[5,4,3,2,2],[4,3,2,1]]=>([(3,5),(4,5)],6) [[3,1,1,1,1],[1]]=>[[3,3,3,3,2],[2,2,2,2]]=>([(0,5),(1,3),(4,2),(5,4)],6) [[4,2,2,2,1],[2,1,1,1]]=>[[4,3,3,3,2],[3,2,2,2]]=>([(1,3),(2,4),(4,5)],6) [[4,2,2,1,1],[2,1,1]]=>[[4,4,3,3,2],[3,3,2,2]]=>([(0,5),(1,4),(2,3)],6) [[5,3,3,2,1],[3,2,2,1]]=>[[5,4,3,3,2],[4,3,2,2]]=>([(2,5),(3,4)],6) [[4,2,1,1,1],[2,1]]=>[[4,4,4,3,2],[3,3,3,2]]=>([(1,3),(2,4),(4,5)],6) [[5,3,2,2,1],[3,2,1,1]]=>[[5,4,4,3,2],[4,3,3,2]]=>([(2,5),(3,4)],6) [[5,3,2,1,1],[3,2,1]]=>[[5,5,4,3,2],[4,4,3,2]]=>([(2,5),(3,4)],6) [[6,4,3,2,1],[4,3,2,1]]=>[[6,5,4,3,2],[5,4,3,2]]=>([(4,5)],6) [[5,5],[4]]=>[[5,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [[6,5],[5]]=>[[6,1],[1]]=>([(1,5),(3,4),(4,2),(5,3)],6) [[4,4,1],[3]]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6) [[5,5,1],[4,1]]=>[[5,4,1],[4]]=>([(1,3),(1,5),(4,2),(5,4)],6) [[5,4,1],[4]]=>[[5,5,1],[4,1]]=>([(1,5),(2,3),(3,4),(4,5)],6) [[6,5,1],[5,1]]=>[[6,5,1],[5,1]]=>([(2,3),(3,5),(5,4)],6) [[3,3,2],[2]]=>[[3,3,1],[1]]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) [[4,4,2],[3,1]]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6) [[5,5,2],[4,2]]=>[[5,3,1],[3]]=>([(0,4),(1,3),(1,5),(5,2)],6) [[4,3,2],[3]]=>[[4,4,1],[2,1]]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6) [[5,4,2],[4,1]]=>[[5,4,1],[3,1]]=>([(1,4),(2,3),(2,5),(4,5)],6) [[6,5,2],[5,2]]=>[[6,4,1],[4,1]]=>([(1,3),(2,4),(4,5)],6) [[3,3,1,1],[2]]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6) [[4,4,2,1],[3,1,1]]=>[[4,3,3,1],[3,2]]=>([(1,5),(2,3),(2,4),(4,5)],6) [[4,4,1,1],[3,1]]=>[[4,4,3,1],[3,3]]=>([(0,4),(1,3),(1,5),(5,2)],6) [[5,5,2,1],[4,2,1]]=>[[5,4,3,1],[4,3]]=>([(2,3),(2,4),(4,5)],6) [[4,3,1,1],[3]]=>[[4,4,4,1],[3,3,1]]=>([(1,4),(2,3),(3,5),(4,5)],6) [[5,4,2,1],[4,1,1]]=>[[5,4,4,1],[4,3,1]]=>([(2,5),(3,4),(4,5)],6) [[5,4,1,1],[4,1]]=>[[5,5,4,1],[4,4,1]]=>([(1,3),(2,4),(4,5)],6) [[6,5,2,1],[5,2,1]]=>[[6,5,4,1],[5,4,1]]=>([(3,4),(4,5)],6) [[3,3,3],[2,1]]=>[[3,2,1],[]]=>([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) [[4,4,3],[3,2]]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6) [[5,5,3],[4,3]]=>[[5,2,1],[2]]=>([(0,5),(1,3),(1,4),(5,2)],6) [[4,3,3],[3,1]]=>[[4,3,1],[1,1]]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6) [[5,4,3],[4,2]]=>[[5,3,1],[2,1]]=>([(1,5),(2,3),(2,5),(3,4)],6) [[6,5,3],[5,3]]=>[[6,3,1],[3,1]]=>([(1,3),(2,4),(4,5)],6) [[2,2,2,1],[1]]=>[[2,2,2,1],[1]]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) [[3,3,3,1],[2,1,1]]=>[[3,2,2,1],[2]]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6) [[3,3,2,1],[2,1]]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6) [[4,4,3,1],[3,2,1]]=>[[4,3,2,1],[3,1]]=>([(1,4),(1,5),(2,3),(2,5)],6) [[4,4,2,1],[3,2]]=>[[4,4,2,1],[3,2]]=>([(0,5),(1,5),(2,3),(2,4)],6) [[5,5,3,1],[4,3,1]]=>[[5,4,2,1],[4,2]]=>([(1,5),(2,3),(2,4)],6) [[3,2,2,1],[2]]=>[[3,3,3,1],[2,1,1]]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6) [[4,3,3,1],[3,1,1]]=>[[4,3,3,1],[3,1,1]]=>([(2,3),(2,4),(3,5),(4,5)],6) [[4,3,2,1],[3,1]]=>[[4,4,3,1],[3,2,1]]=>([(1,5),(2,4),(3,4),(3,5)],6) [[5,4,3,1],[4,2,1]]=>[[5,4,3,1],[4,2,1]]=>([(2,5),(3,4),(3,5)],6) [[5,4,2,1],[4,2]]=>[[5,5,3,1],[4,3,1]]=>([(1,5),(2,5),(3,4)],6) [[6,5,3,1],[5,3,1]]=>[[6,5,3,1],[5,3,1]]=>([(2,5),(3,4)],6) [[3,3,2,2],[2,1,1]]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6) [[4,4,3,2],[3,2,2]]=>[[4,2,2,1],[2,1]]=>([(0,5),(1,3),(2,4),(2,5)],6) [[4,4,2,2],[3,2,1]]=>[[4,3,2,1],[2,2]]=>([(0,4),(0,5),(1,2),(1,3)],6) [[5,5,3,2],[4,3,2]]=>[[5,3,2,1],[3,2]]=>([(1,5),(2,3),(2,4)],6) [[4,3,2,2],[3,1,1]]=>[[4,3,3,1],[2,2,1]]=>([(1,5),(2,3),(2,4),(4,5)],6) [[5,4,3,2],[4,2,2]]=>[[5,3,3,1],[3,2,1]]=>([(1,5),(2,5),(3,4)],6) [[5,4,2,2],[4,2,1]]=>[[5,4,3,1],[3,3,1]]=>([(1,5),(2,3),(2,4)],6) [[6,5,3,2],[5,3,2]]=>[[6,4,3,1],[4,3,1]]=>([(2,5),(3,4)],6) [[2,2,1,1,1],[1]]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6) [[3,3,2,2,1],[2,1,1,1]]=>[[3,2,2,2,1],[2,1,1]]=>([(1,4),(2,3),(2,5),(4,5)],6) [[3,3,2,1,1],[2,1,1]]=>[[3,3,2,2,1],[2,2,1]]=>([(0,5),(1,3),(2,4),(2,5)],6) [[4,4,3,2,1],[3,2,2,1]]=>[[4,3,2,2,1],[3,2,1]]=>([(2,5),(3,4),(3,5)],6) [[3,3,1,1,1],[2,1]]=>[[3,3,3,2,1],[2,2,2]]=>([(0,5),(1,3),(1,4),(5,2)],6) [[4,4,2,2,1],[3,2,1,1]]=>[[4,3,3,2,1],[3,2,2]]=>([(1,5),(2,3),(2,4)],6) [[4,4,2,1,1],[3,2,1]]=>[[4,4,3,2,1],[3,3,2]]=>([(1,5),(2,3),(2,4)],6) [[5,5,3,2,1],[4,3,2,1]]=>[[5,4,3,2,1],[4,3,2]]=>([(3,4),(3,5)],6) [[3,2,1,1,1],[2]]=>[[3,3,3,3,1],[2,2,2,1]]=>([(1,5),(2,3),(3,4),(4,5)],6) [[4,3,2,2,1],[3,1,1,1]]=>[[4,3,3,3,1],[3,2,2,1]]=>([(2,5),(3,4),(4,5)],6) [[4,3,2,1,1],[3,1,1]]=>[[4,4,3,3,1],[3,3,2,1]]=>([(1,5),(2,5),(3,4)],6) [[5,4,3,2,1],[4,2,2,1]]=>[[5,4,3,3,1],[4,3,2,1]]=>([(3,5),(4,5)],6) [[4,3,1,1,1],[3,1]]=>[[4,4,4,3,1],[3,3,3,1]]=>([(1,3),(2,4),(4,5)],6) [[5,4,2,2,1],[4,2,1,1]]=>[[5,4,4,3,1],[4,3,3,1]]=>([(2,5),(3,4)],6) [[5,4,2,1,1],[4,2,1]]=>[[5,5,4,3,1],[4,4,3,1]]=>([(2,5),(3,4)],6) [[6,5,3,2,1],[5,3,2,1]]=>[[6,5,4,3,1],[5,4,3,1]]=>([(4,5)],6) [[4,4,4],[3,3]]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6) [[5,5,4],[4,4]]=>[[5,1,1],[1]]=>([(0,5),(1,3),(4,2),(5,4)],6) [[5,4,4],[4,3]]=>[[5,2,1],[1,1]]=>([(1,3),(1,5),(4,2),(5,4)],6) [[6,5,4],[5,4]]=>[[6,2,1],[2,1]]=>([(2,3),(3,5),(5,4)],6) [[3,3,3,1],[2,2]]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6) [[4,4,4,1],[3,3,1]]=>[[4,3,1,1],[3]]=>([(1,4),(1,5),(4,3),(5,2)],6) [[4,4,3,1],[3,3]]=>[[4,4,1,1],[3,1]]=>([(0,5),(1,3),(2,4),(4,5)],6) [[5,5,4,1],[4,4,1]]=>[[5,4,1,1],[4,1]]=>([(1,3),(2,4),(4,5)],6) [[4,3,3,1],[3,2]]=>[[4,4,2,1],[3,1,1]]=>([(1,5),(2,3),(2,4),(4,5)],6) [[5,4,4,1],[4,3,1]]=>[[5,4,2,1],[4,1,1]]=>([(2,3),(2,4),(4,5)],6) [[5,4,3,1],[4,3]]=>[[5,5,2,1],[4,2,1]]=>([(2,5),(3,4),(4,5)],6) [[6,5,4,1],[5,4,1]]=>[[6,5,2,1],[5,2,1]]=>([(3,4),(4,5)],6) [[2,2,2,2],[1,1]]=>[[2,2,1,1],[]]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) [[3,3,3,2],[2,2,1]]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6) [[4,4,4,2],[3,3,2]]=>[[4,2,1,1],[2]]=>([(0,4),(1,3),(1,5),(5,2)],6) [[3,3,2,2],[2,2]]=>[[3,3,1,1],[1,1]]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6) [[4,4,3,2],[3,3,1]]=>[[4,3,1,1],[2,1]]=>([(0,5),(1,3),(2,4),(2,5)],6) [[5,5,4,2],[4,4,2]]=>[[5,3,1,1],[3,1]]=>([(0,5),(1,4),(2,3)],6) [[3,2,2,2],[2,1]]=>[[3,3,2,1],[1,1,1]]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6) [[4,3,3,2],[3,2,1]]=>[[4,3,2,1],[2,1,1]]=>([(1,4),(1,5),(2,3),(2,5)],6) [[5,4,4,2],[4,3,2]]=>[[5,3,2,1],[3,1,1]]=>([(1,5),(2,3),(2,4)],6) [[4,3,2,2],[3,2]]=>[[4,4,2,1],[2,2,1]]=>([(2,3),(2,4),(3,5),(4,5)],6) [[5,4,3,2],[4,3,1]]=>[[5,4,2,1],[3,2,1]]=>([(2,5),(3,4),(3,5)],6) [[6,5,4,2],[5,4,2]]=>[[6,4,2,1],[4,2,1]]=>([(2,5),(3,4)],6) [[2,2,2,1,1],[1,1]]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6) [[3,3,3,2,1],[2,2,1,1]]=>[[3,2,2,1,1],[2,1]]=>([(1,5),(2,3),(2,5),(3,4)],6) [[3,3,3,1,1],[2,2,1]]=>[[3,3,2,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(5,2)],6) [[4,4,4,2,1],[3,3,2,1]]=>[[4,3,2,1,1],[3,2]]=>([(2,3),(2,4),(4,5)],6) [[3,3,2,1,1],[2,2]]=>[[3,3,3,1,1],[2,2,1]]=>([(0,5),(1,3),(2,4),(4,5)],6) [[4,4,3,2,1],[3,3,1,1]]=>[[4,3,3,1,1],[3,2,1]]=>([(1,5),(2,5),(3,4)],6) [[4,4,3,1,1],[3,3,1]]=>[[4,4,3,1,1],[3,3,1]]=>([(0,5),(1,4),(2,3)],6) [[5,5,4,2,1],[4,4,2,1]]=>[[5,4,3,1,1],[4,3,1]]=>([(2,5),(3,4)],6) [[3,2,2,1,1],[2,1]]=>[[3,3,3,2,1],[2,2,1,1]]=>([(1,4),(2,3),(2,5),(4,5)],6) [[4,3,3,2,1],[3,2,1,1]]=>[[4,3,3,2,1],[3,2,1,1]]=>([(2,5),(3,4),(3,5)],6) [[4,3,3,1,1],[3,2,1]]=>[[4,4,3,2,1],[3,3,1,1]]=>([(1,5),(2,3),(2,4)],6) [[5,4,4,2,1],[4,3,2,1]]=>[[5,4,3,2,1],[4,3,1,1]]=>([(3,4),(3,5)],6) [[4,3,2,1,1],[3,2]]=>[[4,4,4,2,1],[3,3,2,1]]=>([(2,5),(3,4),(4,5)],6) [[5,4,3,2,1],[4,3,1,1]]=>[[5,4,4,2,1],[4,3,2,1]]=>([(3,5),(4,5)],6) [[5,4,3,1,1],[4,3,1]]=>[[5,5,4,2,1],[4,4,2,1]]=>([(2,5),(3,4)],6) [[6,5,4,2,1],[5,4,2,1]]=>[[6,5,4,2,1],[5,4,2,1]]=>([(4,5)],6) [[3,3,3,3],[2,2,2]]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6) [[4,4,4,3],[3,3,3]]=>[[4,1,1,1],[1]]=>([(0,5),(1,4),(4,2),(5,3)],6) [[4,4,3,3],[3,3,2]]=>[[4,2,1,1],[1,1]]=>([(0,4),(1,3),(1,5),(5,2)],6) [[5,5,4,3],[4,4,3]]=>[[5,2,1,1],[2,1]]=>([(1,3),(2,4),(4,5)],6) [[4,3,3,3],[3,2,2]]=>[[4,2,2,1],[1,1,1]]=>([(1,4),(1,5),(4,3),(5,2)],6) [[5,4,4,3],[4,3,3]]=>[[5,2,2,1],[2,1,1]]=>([(1,3),(2,4),(4,5)],6) [[5,4,3,3],[4,3,2]]=>[[5,3,2,1],[2,2,1]]=>([(2,3),(2,4),(4,5)],6) [[6,5,4,3],[5,4,3]]=>[[6,3,2,1],[3,2,1]]=>([(3,4),(4,5)],6) [[2,2,2,2,1],[1,1,1]]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6) [[3,3,3,3,1],[2,2,2,1]]=>[[3,2,1,1,1],[2]]=>([(1,3),(1,5),(4,2),(5,4)],6) [[3,3,3,2,1],[2,2,2]]=>[[3,3,1,1,1],[2,1]]=>([(0,5),(1,5),(2,3),(3,4)],6) [[4,4,4,3,1],[3,3,3,1]]=>[[4,3,1,1,1],[3,1]]=>([(1,3),(2,4),(4,5)],6) [[3,3,2,2,1],[2,2,1]]=>[[3,3,2,1,1],[2,1,1]]=>([(0,5),(1,3),(2,4),(2,5)],6) [[4,4,3,3,1],[3,3,2,1]]=>[[4,3,2,1,1],[3,1,1]]=>([(1,5),(2,3),(2,4)],6) [[4,4,3,2,1],[3,3,2]]=>[[4,4,2,1,1],[3,2,1]]=>([(1,5),(2,5),(3,4)],6) [[5,5,4,3,1],[4,4,3,1]]=>[[5,4,2,1,1],[4,2,1]]=>([(2,5),(3,4)],6) [[3,2,2,2,1],[2,1,1]]=>[[3,3,2,2,1],[2,1,1,1]]=>([(1,5),(2,3),(2,5),(3,4)],6) [[4,3,3,3,1],[3,2,2,1]]=>[[4,3,2,2,1],[3,1,1,1]]=>([(2,3),(2,4),(4,5)],6) [[4,3,3,2,1],[3,2,2]]=>[[4,4,2,2,1],[3,2,1,1]]=>([(1,5),(2,5),(3,4)],6) [[5,4,4,3,1],[4,3,3,1]]=>[[5,4,2,2,1],[4,2,1,1]]=>([(2,5),(3,4)],6) [[4,3,2,2,1],[3,2,1]]=>[[4,4,3,2,1],[3,2,2,1]]=>([(2,5),(3,4),(3,5)],6) [[5,4,3,3,1],[4,3,2,1]]=>[[5,4,3,2,1],[4,2,2,1]]=>([(3,4),(3,5)],6) [[5,4,3,2,1],[4,3,2]]=>[[5,5,3,2,1],[4,3,2,1]]=>([(3,5),(4,5)],6) [[6,5,4,3,1],[5,4,3,1]]=>[[6,5,3,2,1],[5,3,2,1]]=>([(4,5)],6) [[2,2,2,2,2],[1,1,1,1]]=>[[2,1,1,1,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [[3,3,3,3,2],[2,2,2,2]]=>[[3,1,1,1,1],[1]]=>([(0,5),(1,3),(4,2),(5,4)],6) [[3,3,3,2,2],[2,2,2,1]]=>[[3,2,1,1,1],[1,1]]=>([(0,5),(1,3),(1,4),(5,2)],6) [[4,4,4,3,2],[3,3,3,2]]=>[[4,2,1,1,1],[2,1]]=>([(1,3),(2,4),(4,5)],6) [[3,3,2,2,2],[2,2,1,1]]=>[[3,2,2,1,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(5,2)],6) [[4,4,3,3,2],[3,3,2,2]]=>[[4,2,2,1,1],[2,1,1]]=>([(0,5),(1,4),(2,3)],6) [[4,4,3,2,2],[3,3,2,1]]=>[[4,3,2,1,1],[2,2,1]]=>([(1,5),(2,3),(2,4)],6) [[5,5,4,3,2],[4,4,3,2]]=>[[5,3,2,1,1],[3,2,1]]=>([(2,5),(3,4)],6) [[3,2,2,2,2],[2,1,1,1]]=>[[3,2,2,2,1],[1,1,1,1]]=>([(1,3),(1,5),(4,2),(5,4)],6) [[4,3,3,3,2],[3,2,2,2]]=>[[4,2,2,2,1],[2,1,1,1]]=>([(1,3),(2,4),(4,5)],6) [[4,3,3,2,2],[3,2,2,1]]=>[[4,3,2,2,1],[2,2,1,1]]=>([(1,5),(2,3),(2,4)],6) [[5,4,4,3,2],[4,3,3,2]]=>[[5,3,2,2,1],[3,2,1,1]]=>([(2,5),(3,4)],6) [[4,3,2,2,2],[3,2,1,1]]=>[[4,3,3,2,1],[2,2,2,1]]=>([(2,3),(2,4),(4,5)],6) [[5,4,3,3,2],[4,3,2,2]]=>[[5,3,3,2,1],[3,2,2,1]]=>([(2,5),(3,4)],6) [[5,4,3,2,2],[4,3,2,1]]=>[[5,4,3,2,1],[3,3,2,1]]=>([(3,4),(3,5)],6) [[6,5,4,3,2],[5,4,3,2]]=>[[6,4,3,2,1],[4,3,2,1]]=>([(4,5)],6) [[1,1,1,1,1,1],[]]=>[[1,1,1,1,1,1],[]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[2,2,2,2,2,1],[1,1,1,1,1]]=>[[2,1,1,1,1,1],[1]]=>([(1,5),(3,4),(4,2),(5,3)],6) [[2,2,2,2,1,1],[1,1,1,1]]=>[[2,2,1,1,1,1],[1,1]]=>([(0,5),(1,3),(4,2),(5,4)],6) [[3,3,3,3,2,1],[2,2,2,2,1]]=>[[3,2,1,1,1,1],[2,1]]=>([(2,3),(3,5),(5,4)],6) [[2,2,2,1,1,1],[1,1,1]]=>[[2,2,2,1,1,1],[1,1,1]]=>([(0,5),(1,4),(4,2),(5,3)],6) [[3,3,3,2,2,1],[2,2,2,1,1]]=>[[3,2,2,1,1,1],[2,1,1]]=>([(1,3),(2,4),(4,5)],6) [[3,3,3,2,1,1],[2,2,2,1]]=>[[3,3,2,1,1,1],[2,2,1]]=>([(1,3),(2,4),(4,5)],6) [[4,4,4,3,2,1],[3,3,3,2,1]]=>[[4,3,2,1,1,1],[3,2,1]]=>([(3,4),(4,5)],6) [[2,2,1,1,1,1],[1,1]]=>[[2,2,2,2,1,1],[1,1,1,1]]=>([(0,5),(1,3),(4,2),(5,4)],6) [[3,3,2,2,2,1],[2,2,1,1,1]]=>[[3,2,2,2,1,1],[2,1,1,1]]=>([(1,3),(2,4),(4,5)],6) [[3,3,2,2,1,1],[2,2,1,1]]=>[[3,3,2,2,1,1],[2,2,1,1]]=>([(0,5),(1,4),(2,3)],6) [[4,4,3,3,2,1],[3,3,2,2,1]]=>[[4,3,2,2,1,1],[3,2,1,1]]=>([(2,5),(3,4)],6) [[3,3,2,1,1,1],[2,2,1]]=>[[3,3,3,2,1,1],[2,2,2,1]]=>([(1,3),(2,4),(4,5)],6) [[4,4,3,2,2,1],[3,3,2,1,1]]=>[[4,3,3,2,1,1],[3,2,2,1]]=>([(2,5),(3,4)],6) [[4,4,3,2,1,1],[3,3,2,1]]=>[[4,4,3,2,1,1],[3,3,2,1]]=>([(2,5),(3,4)],6) [[5,5,4,3,2,1],[4,4,3,2,1]]=>[[5,4,3,2,1,1],[4,3,2,1]]=>([(4,5)],6) [[2,1,1,1,1,1],[1]]=>[[2,2,2,2,2,1],[1,1,1,1,1]]=>([(1,5),(3,4),(4,2),(5,3)],6) [[3,2,2,2,2,1],[2,1,1,1,1]]=>[[3,2,2,2,2,1],[2,1,1,1,1]]=>([(2,3),(3,5),(5,4)],6) [[3,2,2,2,1,1],[2,1,1,1]]=>[[3,3,2,2,2,1],[2,2,1,1,1]]=>([(1,3),(2,4),(4,5)],6) [[4,3,3,3,2,1],[3,2,2,2,1]]=>[[4,3,2,2,2,1],[3,2,1,1,1]]=>([(3,4),(4,5)],6) [[3,2,2,1,1,1],[2,1,1]]=>[[3,3,3,2,2,1],[2,2,2,1,1]]=>([(1,3),(2,4),(4,5)],6) [[4,3,3,2,2,1],[3,2,2,1,1]]=>[[4,3,3,2,2,1],[3,2,2,1,1]]=>([(2,5),(3,4)],6) [[4,3,3,2,1,1],[3,2,2,1]]=>[[4,4,3,2,2,1],[3,3,2,1,1]]=>([(2,5),(3,4)],6) [[5,4,4,3,2,1],[4,3,3,2,1]]=>[[5,4,3,2,2,1],[4,3,2,1,1]]=>([(4,5)],6) [[3,2,1,1,1,1],[2,1]]=>[[3,3,3,3,2,1],[2,2,2,2,1]]=>([(2,3),(3,5),(5,4)],6) [[4,3,2,2,2,1],[3,2,1,1,1]]=>[[4,3,3,3,2,1],[3,2,2,2,1]]=>([(3,4),(4,5)],6) [[4,3,2,2,1,1],[3,2,1,1]]=>[[4,4,3,3,2,1],[3,3,2,2,1]]=>([(2,5),(3,4)],6) [[5,4,3,3,2,1],[4,3,2,2,1]]=>[[5,4,3,3,2,1],[4,3,2,2,1]]=>([(4,5)],6) [[4,3,2,1,1,1],[3,2,1]]=>[[4,4,4,3,2,1],[3,3,3,2,1]]=>([(3,4),(4,5)],6) [[5,4,3,2,2,1],[4,3,2,1,1]]=>[[5,4,4,3,2,1],[4,3,3,2,1]]=>([(4,5)],6) [[5,4,3,2,1,1],[4,3,2,1]]=>[[5,5,4,3,2,1],[4,4,3,2,1]]=>([(4,5)],6) [[6,5,4,3,2,1],[5,4,3,2,1]]=>[[6,5,4,3,2,1],[5,4,3,2,1]]=>([],6) [[7],[]]=>[[7],[]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [[6,1],[]]=>[[6,6],[5]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) [[7,1],[1]]=>[[7,6],[6]]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) [[5,2],[]]=>[[5,5],[3]]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) [[6,2],[1]]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) [[7,2],[2]]=>[[7,5],[5]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[5,1,1],[]]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) [[6,2,1],[1,1]]=>[[6,5,5],[5,4]]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) [[6,1,1],[1]]=>[[6,6,5],[5,5]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[7,2,1],[2,1]]=>[[7,6,5],[6,5]]=>([(2,6),(4,5),(5,3),(6,4)],7) [[4,3],[]]=>[[4,4],[1]]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) [[5,3],[1]]=>[[5,4],[2]]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) [[6,3],[2]]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) [[7,3],[3]]=>[[7,4],[4]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[4,2,1],[]]=>[[4,4,4],[3,2]]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) [[5,3,1],[1,1]]=>[[5,4,4],[4,2]]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) [[5,2,1],[1]]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) [[6,3,1],[2,1]]=>[[6,5,4],[5,3]]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7) [[6,2,1],[2]]=>[[6,6,4],[5,4]]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7) [[7,3,1],[3,1]]=>[[7,6,4],[6,4]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,2,2],[1,1]]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) [[6,3,2],[2,2]]=>[[6,4,4],[4,3]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[6,2,2],[2,1]]=>[[6,5,4],[4,4]]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7) [[7,3,2],[3,2]]=>[[7,5,4],[5,4]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,1,1,1],[]]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) [[5,2,2,1],[1,1,1]]=>[[5,4,4,4],[4,3,3]]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7) [[5,2,1,1],[1,1]]=>[[5,5,4,4],[4,4,3]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[6,3,2,1],[2,2,1]]=>[[6,5,4,4],[5,4,3]]=>([(2,6),(3,4),(4,5),(5,6)],7) [[5,1,1,1],[1]]=>[[5,5,5,4],[4,4,4]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[6,2,2,1],[2,1,1]]=>[[6,5,5,4],[5,4,4]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[6,2,1,1],[2,1]]=>[[6,6,5,4],[5,5,4]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[7,3,2,1],[3,2,1]]=>[[7,6,5,4],[6,5,4]]=>([(3,4),(4,6),(6,5)],7) [[4,4],[1]]=>[[4,3],[]]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) [[5,4],[2]]=>[[5,3],[1]]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) [[6,4],[3]]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) [[7,4],[4]]=>[[7,3],[3]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[3,3,1],[]]=>[[3,3,3],[2]]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [[4,4,1],[1,1]]=>[[4,3,3],[3]]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) [[4,3,1],[1]]=>[[4,4,3],[3,1]]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) [[5,4,1],[2,1]]=>[[5,4,3],[4,1]]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) [[5,3,1],[2]]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) [[6,4,1],[3,1]]=>[[6,5,3],[5,2]]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7) [[6,3,1],[3]]=>[[6,6,3],[5,3]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[7,4,1],[4,1]]=>[[7,6,3],[6,3]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[3,2,2],[]]=>[[3,3,3],[1,1]]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [[4,3,2],[1,1]]=>[[4,3,3],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) [[5,4,2],[2,2]]=>[[5,3,3],[3,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,2,2],[1]]=>[[4,4,3],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) [[5,3,2],[2,1]]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) [[6,4,2],[3,2]]=>[[6,4,3],[4,2]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[5,2,2],[2]]=>[[5,5,3],[3,3]]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) [[6,3,2],[3,1]]=>[[6,5,3],[4,3]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[7,4,2],[4,2]]=>[[7,5,3],[5,3]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[3,2,1,1],[]]=>[[3,3,3,3],[2,2,1]]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) [[4,3,2,1],[1,1,1]]=>[[4,3,3,3],[3,2,1]]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) [[4,3,1,1],[1,1]]=>[[4,4,3,3],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,2,1],[2,2,1]]=>[[5,4,3,3],[4,3,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[4,2,1,1],[1]]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) [[5,3,2,1],[2,1,1]]=>[[5,4,4,3],[4,3,2]]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7) [[5,3,1,1],[2,1]]=>[[5,5,4,3],[4,4,2]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[6,4,2,1],[3,2,1]]=>[[6,5,4,3],[5,4,2]]=>([(2,5),(3,4),(3,6),(5,6)],7) [[5,2,1,1],[2]]=>[[5,5,5,3],[4,4,3]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[6,3,2,1],[3,1,1]]=>[[6,5,5,3],[5,4,3]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[6,3,1,1],[3,1]]=>[[6,6,5,3],[5,5,3]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[7,4,2,1],[4,2,1]]=>[[7,6,5,3],[6,5,3]]=>([(2,4),(3,5),(5,6)],7) [[5,3,3],[2,2]]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) [[6,4,3],[3,3]]=>[[6,3,3],[3,2]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[6,3,3],[3,2]]=>[[6,4,3],[3,3]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[7,4,3],[4,3]]=>[[7,4,3],[4,3]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,2,2,1],[1,1]]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) [[5,3,3,1],[2,2,1]]=>[[5,4,3,3],[4,2,2]]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7) [[5,3,2,1],[2,2]]=>[[5,5,3,3],[4,3,2]]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7) [[6,4,3,1],[3,3,1]]=>[[6,5,3,3],[5,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,2,2,1],[2,1]]=>[[5,5,4,3],[4,3,3]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[6,3,3,1],[3,2,1]]=>[[6,5,4,3],[5,3,3]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[6,3,2,1],[3,2]]=>[[6,6,4,3],[5,4,3]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[7,4,3,1],[4,3,1]]=>[[7,6,4,3],[6,4,3]]=>([(2,4),(3,5),(5,6)],7) [[4,2,2,2],[1,1,1]]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) [[5,3,3,2],[2,2,2]]=>[[5,3,3,3],[3,2,2]]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7) [[5,3,2,2],[2,2,1]]=>[[5,4,3,3],[3,3,2]]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7) [[6,4,3,2],[3,3,2]]=>[[6,4,3,3],[4,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,2,2,2],[2,1,1]]=>[[5,4,4,3],[3,3,3]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[6,3,3,2],[3,2,2]]=>[[6,4,4,3],[4,3,3]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,3,2,2],[3,2,1]]=>[[6,5,4,3],[4,4,3]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[7,4,3,2],[4,3,2]]=>[[7,5,4,3],[5,4,3]]=>([(2,4),(3,5),(5,6)],7) [[3,1,1,1,1],[]]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) [[4,2,2,2,1],[1,1,1,1]]=>[[4,3,3,3,3],[3,2,2,2]]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7) [[4,2,2,1,1],[1,1,1]]=>[[4,4,3,3,3],[3,3,2,2]]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7) [[5,3,3,2,1],[2,2,2,1]]=>[[5,4,3,3,3],[4,3,2,2]]=>([(2,5),(3,4),(4,6),(5,6)],7) [[4,2,1,1,1],[1,1]]=>[[4,4,4,3,3],[3,3,3,2]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[5,3,2,2,1],[2,2,1,1]]=>[[5,4,4,3,3],[4,3,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,3,2,1,1],[2,2,1]]=>[[5,5,4,3,3],[4,4,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,4,3,2,1],[3,3,2,1]]=>[[6,5,4,3,3],[5,4,3,2]]=>([(3,6),(4,5),(5,6)],7) [[4,1,1,1,1],[1]]=>[[4,4,4,4,3],[3,3,3,3]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[5,2,2,2,1],[2,1,1,1]]=>[[5,4,4,4,3],[4,3,3,3]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[5,2,2,1,1],[2,1,1]]=>[[5,5,4,4,3],[4,4,3,3]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,3,3,2,1],[3,2,2,1]]=>[[6,5,4,4,3],[5,4,3,3]]=>([(2,4),(3,5),(5,6)],7) [[5,2,1,1,1],[2,1]]=>[[5,5,5,4,3],[4,4,4,3]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[6,3,2,2,1],[3,2,1,1]]=>[[6,5,5,4,3],[5,4,4,3]]=>([(2,4),(3,5),(5,6)],7) [[6,3,2,1,1],[3,2,1]]=>[[6,6,5,4,3],[5,5,4,3]]=>([(2,4),(3,5),(5,6)],7) [[7,4,3,2,1],[4,3,2,1]]=>[[7,6,5,4,3],[6,5,4,3]]=>([(4,5),(5,6)],7) [[5,5],[3]]=>[[5,2],[]]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) [[6,5],[4]]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) [[7,5],[5]]=>[[7,2],[2]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[4,4,1],[2]]=>[[4,4,2],[3]]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) [[5,5,1],[3,1]]=>[[5,4,2],[4]]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) [[5,4,1],[3]]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) [[6,5,1],[4,1]]=>[[6,5,2],[5,1]]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7) [[6,4,1],[4]]=>[[6,6,2],[5,2]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[7,5,1],[5,1]]=>[[7,6,2],[6,2]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,2],[1]]=>[[3,3,2],[1]]=>([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) [[4,4,2],[2,1]]=>[[4,3,2],[2]]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) [[5,5,2],[3,2]]=>[[5,3,2],[3]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[4,3,2],[2]]=>[[4,4,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) [[5,4,2],[3,1]]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) [[6,5,2],[4,2]]=>[[6,4,2],[4,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[5,3,2],[3]]=>[[5,5,2],[3,2]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[6,4,2],[4,1]]=>[[6,5,2],[4,2]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[7,5,2],[5,2]]=>[[7,5,2],[5,2]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[3,3,1,1],[1]]=>[[3,3,3,2],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) [[4,4,2,1],[2,1,1]]=>[[4,3,3,2],[3,2]]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[4,4,1,1],[2,1]]=>[[4,4,3,2],[3,3]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[5,5,2,1],[3,2,1]]=>[[5,4,3,2],[4,3]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[4,3,1,1],[2]]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) [[5,4,2,1],[3,1,1]]=>[[5,4,4,2],[4,3,1]]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [[5,4,1,1],[3,1]]=>[[5,5,4,2],[4,4,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[6,5,2,1],[4,2,1]]=>[[6,5,4,2],[5,4,1]]=>([(2,6),(3,4),(3,6),(4,5)],7) [[5,3,1,1],[3]]=>[[5,5,5,2],[4,4,2]]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7) [[6,4,2,1],[4,1,1]]=>[[6,5,5,2],[5,4,2]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,4,1,1],[4,1]]=>[[6,6,5,2],[5,5,2]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[7,5,2,1],[5,2,1]]=>[[7,6,5,2],[6,5,2]]=>([(2,4),(3,5),(5,6)],7) [[3,3,3],[1,1]]=>[[3,2,2],[]]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) [[4,4,3],[2,2]]=>[[4,2,2],[1]]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) [[5,5,3],[3,3]]=>[[5,2,2],[2]]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) [[4,3,3],[2,1]]=>[[4,3,2],[1,1]]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) [[5,4,3],[3,2]]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) [[6,5,3],[4,3]]=>[[6,3,2],[3,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[5,3,3],[3,1]]=>[[5,4,2],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[6,4,3],[4,2]]=>[[6,4,2],[3,2]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[7,5,3],[5,3]]=>[[7,4,2],[4,2]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[2,2,2,1],[]]=>[[2,2,2,2],[1]]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) [[3,3,3,1],[1,1,1]]=>[[3,2,2,2],[2]]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) [[3,3,2,1],[1,1]]=>[[3,3,2,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) [[4,4,3,1],[2,2,1]]=>[[4,3,2,2],[3,1]]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,2,1],[2,2]]=>[[4,4,2,2],[3,2]]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) [[5,5,3,1],[3,3,1]]=>[[5,4,2,2],[4,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[3,2,2,1],[1]]=>[[3,3,3,2],[2,1,1]]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) [[4,3,3,1],[2,1,1]]=>[[4,3,3,2],[3,1,1]]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[4,3,2,1],[2,1]]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) [[5,4,3,1],[3,2,1]]=>[[5,4,3,2],[4,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7) [[5,4,2,1],[3,2]]=>[[5,5,3,2],[4,3,1]]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) [[6,5,3,1],[4,3,1]]=>[[6,5,3,2],[5,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,2,2,1],[2]]=>[[4,4,4,2],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,3,3,1],[3,1,1]]=>[[5,4,4,2],[4,2,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,3,2,1],[3,1]]=>[[5,5,4,2],[4,3,2]]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7) [[6,4,3,1],[4,2,1]]=>[[6,5,4,2],[5,3,2]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,4,2,1],[4,2]]=>[[6,6,4,2],[5,4,2]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[7,5,3,1],[5,3,1]]=>[[7,6,4,2],[6,4,2]]=>([(1,6),(2,5),(3,4)],7) [[3,3,2,2],[1,1,1]]=>[[3,2,2,2],[1,1]]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) [[4,4,3,2],[2,2,2]]=>[[4,2,2,2],[2,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,2,2],[2,2,1]]=>[[4,3,2,2],[2,2]]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) [[5,5,3,2],[3,3,2]]=>[[5,3,2,2],[3,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,3,2,2],[2,1,1]]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) [[5,4,3,2],[3,2,2]]=>[[5,3,3,2],[3,2,1]]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7) [[5,4,2,2],[3,2,1]]=>[[5,4,3,2],[3,3,1]]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) [[6,5,3,2],[4,3,2]]=>[[6,4,3,2],[4,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,3,2,2],[3,1,1]]=>[[5,4,4,2],[3,3,2]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[6,4,3,2],[4,2,2]]=>[[6,4,4,2],[4,3,2]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,4,2,2],[4,2,1]]=>[[6,5,4,2],[4,4,2]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[7,5,3,2],[5,3,2]]=>[[7,5,4,2],[5,4,2]]=>([(1,6),(2,5),(3,4)],7) [[2,2,1,1,1],[]]=>[[2,2,2,2,2],[1,1,1]]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) [[3,3,2,2,1],[1,1,1,1]]=>[[3,2,2,2,2],[2,1,1]]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) [[3,3,2,1,1],[1,1,1]]=>[[3,3,2,2,2],[2,2,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,3,2,1],[2,2,2,1]]=>[[4,3,2,2,2],[3,2,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[3,3,1,1,1],[1,1]]=>[[3,3,3,2,2],[2,2,2]]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) [[4,4,2,2,1],[2,2,1,1]]=>[[4,3,3,2,2],[3,2,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,2,1,1],[2,2,1]]=>[[4,4,3,2,2],[3,3,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,5,3,2,1],[3,3,2,1]]=>[[5,4,3,2,2],[4,3,2]]=>([(3,4),(3,5),(4,6),(5,6)],7) [[3,2,1,1,1],[1]]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) [[4,3,2,2,1],[2,1,1,1]]=>[[4,3,3,3,2],[3,2,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7) [[4,3,2,1,1],[2,1,1]]=>[[4,4,3,3,2],[3,3,2,1]]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7) [[5,4,3,2,1],[3,2,2,1]]=>[[5,4,3,3,2],[4,3,2,1]]=>([(2,6),(3,5),(4,5),(4,6)],7) [[4,3,1,1,1],[2,1]]=>[[4,4,4,3,2],[3,3,3,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[5,4,2,2,1],[3,2,1,1]]=>[[5,4,4,3,2],[4,3,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,2,1,1],[3,2,1]]=>[[5,5,4,3,2],[4,4,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,5,3,2,1],[4,3,2,1]]=>[[6,5,4,3,2],[5,4,3,1]]=>([(3,6),(4,5),(4,6)],7) [[4,2,1,1,1],[2]]=>[[4,4,4,4,2],[3,3,3,2]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[5,3,2,2,1],[3,1,1,1]]=>[[5,4,4,4,2],[4,3,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,3,2,1,1],[3,1,1]]=>[[5,5,4,4,2],[4,4,3,2]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,4,3,2,1],[4,2,2,1]]=>[[6,5,4,4,2],[5,4,3,2]]=>([(2,6),(3,6),(4,5)],7) [[5,3,1,1,1],[3,1]]=>[[5,5,5,4,2],[4,4,4,2]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,4,2,2,1],[4,2,1,1]]=>[[6,5,5,4,2],[5,4,4,2]]=>([(1,6),(2,5),(3,4)],7) [[6,4,2,1,1],[4,2,1]]=>[[6,6,5,4,2],[5,5,4,2]]=>([(1,6),(2,5),(3,4)],7) [[7,5,3,2,1],[5,3,2,1]]=>[[7,6,5,4,2],[6,5,4,2]]=>([(3,6),(4,5)],7) [[5,4,4],[3,3]]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) [[6,5,4],[4,4]]=>[[6,2,2],[2,1]]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7) [[6,4,4],[4,3]]=>[[6,3,2],[2,2]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[7,5,4],[5,4]]=>[[7,3,2],[3,2]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,3,3,1],[2,2]]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [[5,4,4,1],[3,3,1]]=>[[5,4,2,2],[4,1,1]]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7) [[5,4,3,1],[3,3]]=>[[5,5,2,2],[4,2,1]]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7) [[6,5,4,1],[4,4,1]]=>[[6,5,2,2],[5,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,3,3,1],[3,2]]=>[[5,5,3,2],[4,2,2]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[6,4,4,1],[4,3,1]]=>[[6,5,3,2],[5,2,2]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,4,3,1],[4,3]]=>[[6,6,3,2],[5,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[7,5,4,1],[5,4,1]]=>[[7,6,3,2],[6,3,2]]=>([(2,4),(3,5),(5,6)],7) [[3,2,2,2],[1,1]]=>[[3,3,2,2],[1,1,1]]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) [[4,3,3,2],[2,2,1]]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) [[5,4,4,2],[3,3,2]]=>[[5,3,2,2],[3,1,1]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[4,3,2,2],[2,2]]=>[[4,4,2,2],[2,2,1]]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) [[5,4,3,2],[3,3,1]]=>[[5,4,2,2],[3,2,1]]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) [[6,5,4,2],[4,4,2]]=>[[6,4,2,2],[4,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[4,2,2,2],[2,1]]=>[[4,4,3,2],[2,2,2]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[5,3,3,2],[3,2,1]]=>[[5,4,3,2],[3,2,2]]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7) [[6,4,4,2],[4,3,2]]=>[[6,4,3,2],[4,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,3,2,2],[3,2]]=>[[5,5,3,2],[3,3,2]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[6,4,3,2],[4,3,1]]=>[[6,5,3,2],[4,3,2]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[7,5,4,2],[5,4,2]]=>[[7,5,3,2],[5,3,2]]=>([(1,6),(2,5),(3,4)],7) [[3,2,2,1,1],[1,1]]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) [[4,3,3,2,1],[2,2,1,1]]=>[[4,3,3,2,2],[3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [[4,3,3,1,1],[2,2,1]]=>[[4,4,3,2,2],[3,3,1,1]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,4,4,2,1],[3,3,2,1]]=>[[5,4,3,2,2],[4,3,1,1]]=>([(2,6),(3,4),(3,5),(5,6)],7) [[4,3,2,1,1],[2,2]]=>[[4,4,4,2,2],[3,3,2,1]]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7) [[5,4,3,2,1],[3,3,1,1]]=>[[5,4,4,2,2],[4,3,2,1]]=>([(1,6),(2,6),(3,5),(4,5)],7) [[5,4,3,1,1],[3,3,1]]=>[[5,5,4,2,2],[4,4,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,5,4,2,1],[4,4,2,1]]=>[[6,5,4,2,2],[5,4,2,1]]=>([(2,6),(3,6),(4,5)],7) [[4,2,2,1,1],[2,1]]=>[[4,4,4,3,2],[3,3,2,2]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[5,3,3,2,1],[3,2,1,1]]=>[[5,4,4,3,2],[4,3,2,2]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,3,3,1,1],[3,2,1]]=>[[5,5,4,3,2],[4,4,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[6,4,4,2,1],[4,3,2,1]]=>[[6,5,4,3,2],[5,4,2,2]]=>([(2,6),(3,4),(3,5)],7) [[5,3,2,1,1],[3,2]]=>[[5,5,5,3,2],[4,4,3,2]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,4,3,2,1],[4,3,1,1]]=>[[6,5,5,3,2],[5,4,3,2]]=>([(2,6),(3,6),(4,5)],7) [[6,4,3,1,1],[4,3,1]]=>[[6,6,5,3,2],[5,5,3,2]]=>([(1,6),(2,5),(3,4)],7) [[7,5,4,2,1],[5,4,2,1]]=>[[7,6,5,3,2],[6,5,3,2]]=>([(3,6),(4,5)],7) [[4,3,3,3],[2,2,2]]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) [[5,4,4,3],[3,3,3]]=>[[5,2,2,2],[2,1,1]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[5,4,3,3],[3,3,2]]=>[[5,3,2,2],[2,2,1]]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7) [[6,5,4,3],[4,4,3]]=>[[6,3,2,2],[3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,3,3,3],[3,2,2]]=>[[5,3,3,2],[2,2,2]]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7) [[6,4,4,3],[4,3,3]]=>[[6,3,3,2],[3,2,2]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,4,3,3],[4,3,2]]=>[[6,4,3,2],[3,3,2]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[7,5,4,3],[5,4,3]]=>[[7,4,3,2],[4,3,2]]=>([(2,4),(3,5),(5,6)],7) [[3,2,2,2,1],[1,1,1]]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) [[4,3,3,3,1],[2,2,2,1]]=>[[4,3,2,2,2],[3,1,1,1]]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7) [[4,3,3,2,1],[2,2,2]]=>[[4,4,2,2,2],[3,2,1,1]]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7) [[5,4,4,3,1],[3,3,3,1]]=>[[5,4,2,2,2],[4,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[4,3,2,2,1],[2,2,1]]=>[[4,4,3,2,2],[3,2,2,1]]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) [[5,4,3,3,1],[3,3,2,1]]=>[[5,4,3,2,2],[4,2,2,1]]=>([(1,6),(2,6),(3,4),(3,5)],7) [[5,4,3,2,1],[3,3,2]]=>[[5,5,3,2,2],[4,3,2,1]]=>([(1,6),(2,6),(3,5),(4,5)],7) [[6,5,4,3,1],[4,4,3,1]]=>[[6,5,3,2,2],[5,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[4,2,2,2,1],[2,1,1]]=>[[4,4,3,3,2],[3,2,2,2]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[5,3,3,3,1],[3,2,2,1]]=>[[5,4,3,3,2],[4,2,2,2]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,3,3,2,1],[3,2,2]]=>[[5,5,3,3,2],[4,3,2,2]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,4,4,3,1],[4,3,3,1]]=>[[6,5,3,3,2],[5,3,2,2]]=>([(1,6),(2,5),(3,4)],7) [[5,3,2,2,1],[3,2,1]]=>[[5,5,4,3,2],[4,3,3,2]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,4,3,3,1],[4,3,2,1]]=>[[6,5,4,3,2],[5,3,3,2]]=>([(2,6),(3,4),(3,5)],7) [[6,4,3,2,1],[4,3,2]]=>[[6,6,4,3,2],[5,4,3,2]]=>([(2,6),(3,6),(4,5)],7) [[7,5,4,3,1],[5,4,3,1]]=>[[7,6,4,3,2],[6,4,3,2]]=>([(3,6),(4,5)],7) [[3,2,2,2,2],[1,1,1,1]]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) [[4,3,3,3,2],[2,2,2,2]]=>[[4,2,2,2,2],[2,1,1,1]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[4,3,3,2,2],[2,2,2,1]]=>[[4,3,2,2,2],[2,2,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7) [[5,4,4,3,2],[3,3,3,2]]=>[[5,3,2,2,2],[3,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[4,3,2,2,2],[2,2,1,1]]=>[[4,3,3,2,2],[2,2,2,1]]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7) [[5,4,3,3,2],[3,3,2,2]]=>[[5,3,3,2,2],[3,2,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,4,3,2,2],[3,3,2,1]]=>[[5,4,3,2,2],[3,3,2,1]]=>([(1,6),(2,6),(3,4),(3,5)],7) [[6,5,4,3,2],[4,4,3,2]]=>[[6,4,3,2,2],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[4,2,2,2,2],[2,1,1,1]]=>[[4,3,3,3,2],[2,2,2,2]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[5,3,3,3,2],[3,2,2,2]]=>[[5,3,3,3,2],[3,2,2,2]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,3,3,2,2],[3,2,2,1]]=>[[5,4,3,3,2],[3,3,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[6,4,4,3,2],[4,3,3,2]]=>[[6,4,3,3,2],[4,3,2,2]]=>([(1,6),(2,5),(3,4)],7) [[5,3,2,2,2],[3,2,1,1]]=>[[5,4,4,3,2],[3,3,3,2]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,4,3,3,2],[4,3,2,2]]=>[[6,4,4,3,2],[4,3,3,2]]=>([(1,6),(2,5),(3,4)],7) [[6,4,3,2,2],[4,3,2,1]]=>[[6,5,4,3,2],[4,4,3,2]]=>([(2,6),(3,4),(3,5)],7) [[7,5,4,3,2],[5,4,3,2]]=>[[7,5,4,3,2],[5,4,3,2]]=>([(3,6),(4,5)],7) [[2,1,1,1,1,1],[]]=>[[2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) [[3,2,2,2,2,1],[1,1,1,1,1]]=>[[3,2,2,2,2,2],[2,1,1,1,1]]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) [[3,2,2,2,1,1],[1,1,1,1]]=>[[3,3,2,2,2,2],[2,2,1,1,1]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[4,3,3,3,2,1],[2,2,2,2,1]]=>[[4,3,2,2,2,2],[3,2,1,1,1]]=>([(2,6),(3,4),(4,5),(5,6)],7) [[3,2,2,1,1,1],[1,1,1]]=>[[3,3,3,2,2,2],[2,2,2,1,1]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[4,3,3,2,2,1],[2,2,2,1,1]]=>[[4,3,3,2,2,2],[3,2,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[4,3,3,2,1,1],[2,2,2,1]]=>[[4,4,3,2,2,2],[3,3,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,4,4,3,2,1],[3,3,3,2,1]]=>[[5,4,3,2,2,2],[4,3,2,1,1]]=>([(3,6),(4,5),(5,6)],7) [[3,2,1,1,1,1],[1,1]]=>[[3,3,3,3,2,2],[2,2,2,2,1]]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7) [[4,3,2,2,2,1],[2,2,1,1,1]]=>[[4,3,3,3,2,2],[3,2,2,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[4,3,2,2,1,1],[2,2,1,1]]=>[[4,4,3,3,2,2],[3,3,2,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,4,3,3,2,1],[3,3,2,2,1]]=>[[5,4,3,3,2,2],[4,3,2,2,1]]=>([(2,6),(3,6),(4,5)],7) [[4,3,2,1,1,1],[2,2,1]]=>[[4,4,4,3,2,2],[3,3,3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,4,3,2,2,1],[3,3,2,1,1]]=>[[5,4,4,3,2,2],[4,3,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[5,4,3,2,1,1],[3,3,2,1]]=>[[5,5,4,3,2,2],[4,4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[6,5,4,3,2,1],[4,4,3,2,1]]=>[[6,5,4,3,2,2],[5,4,3,2,1]]=>([(4,6),(5,6)],7) [[3,1,1,1,1,1],[1]]=>[[3,3,3,3,3,2],[2,2,2,2,2]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[4,2,2,2,2,1],[2,1,1,1,1]]=>[[4,3,3,3,3,2],[3,2,2,2,2]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,2,2,2,1,1],[2,1,1,1]]=>[[4,4,3,3,3,2],[3,3,2,2,2]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,3,3,3,2,1],[3,2,2,2,1]]=>[[5,4,3,3,3,2],[4,3,2,2,2]]=>([(2,4),(3,5),(5,6)],7) [[4,2,2,1,1,1],[2,1,1]]=>[[4,4,4,3,3,2],[3,3,3,2,2]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,3,3,2,2,1],[3,2,2,1,1]]=>[[5,4,4,3,3,2],[4,3,3,2,2]]=>([(1,6),(2,5),(3,4)],7) [[5,3,3,2,1,1],[3,2,2,1]]=>[[5,5,4,3,3,2],[4,4,3,2,2]]=>([(1,6),(2,5),(3,4)],7) [[6,4,4,3,2,1],[4,3,3,2,1]]=>[[6,5,4,3,3,2],[5,4,3,2,2]]=>([(3,6),(4,5)],7) [[4,2,1,1,1,1],[2,1]]=>[[4,4,4,4,3,2],[3,3,3,3,2]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,3,2,2,2,1],[3,2,1,1,1]]=>[[5,4,4,4,3,2],[4,3,3,3,2]]=>([(2,4),(3,5),(5,6)],7) [[5,3,2,2,1,1],[3,2,1,1]]=>[[5,5,4,4,3,2],[4,4,3,3,2]]=>([(1,6),(2,5),(3,4)],7) [[6,4,3,3,2,1],[4,3,2,2,1]]=>[[6,5,4,4,3,2],[5,4,3,3,2]]=>([(3,6),(4,5)],7) [[5,3,2,1,1,1],[3,2,1]]=>[[5,5,5,4,3,2],[4,4,4,3,2]]=>([(2,4),(3,5),(5,6)],7) [[6,4,3,2,2,1],[4,3,2,1,1]]=>[[6,5,5,4,3,2],[5,4,4,3,2]]=>([(3,6),(4,5)],7) [[6,4,3,2,1,1],[4,3,2,1]]=>[[6,6,5,4,3,2],[5,5,4,3,2]]=>([(3,6),(4,5)],7) [[7,5,4,3,2,1],[5,4,3,2,1]]=>[[7,6,5,4,3,2],[6,5,4,3,2]]=>([(5,6)],7) [[6,6],[5]]=>[[6,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) [[7,6],[6]]=>[[7,1],[1]]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) [[5,5,1],[4]]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) [[6,6,1],[5,1]]=>[[6,5,1],[5]]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) [[6,5,1],[5]]=>[[6,6,1],[5,1]]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) [[7,6,1],[6,1]]=>[[7,6,1],[6,1]]=>([(2,6),(4,5),(5,3),(6,4)],7) [[4,4,2],[3]]=>[[4,4,1],[2]]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) [[5,5,2],[4,1]]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) [[6,6,2],[5,2]]=>[[6,4,1],[4]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[5,4,2],[4]]=>[[5,5,1],[3,1]]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) [[6,5,2],[5,1]]=>[[6,5,1],[4,1]]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7) [[7,6,2],[6,2]]=>[[7,5,1],[5,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,4,1,1],[3]]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) [[5,5,2,1],[4,1,1]]=>[[5,4,4,1],[4,3]]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7) [[5,5,1,1],[4,1]]=>[[5,5,4,1],[4,4]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[6,6,2,1],[5,2,1]]=>[[6,5,4,1],[5,4]]=>([(2,4),(2,6),(5,3),(6,5)],7) [[5,4,1,1],[4]]=>[[5,5,5,1],[4,4,1]]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7) [[6,5,2,1],[5,1,1]]=>[[6,5,5,1],[5,4,1]]=>([(2,6),(3,4),(4,5),(5,6)],7) [[6,5,1,1],[5,1]]=>[[6,6,5,1],[5,5,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[7,6,2,1],[6,2,1]]=>[[7,6,5,1],[6,5,1]]=>([(3,4),(4,6),(6,5)],7) [[3,3,3],[2]]=>[[3,3,1],[]]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) [[4,4,3],[3,1]]=>[[4,3,1],[1]]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) [[5,5,3],[4,2]]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) [[6,6,3],[5,3]]=>[[6,3,1],[3]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[4,3,3],[3]]=>[[4,4,1],[1,1]]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) [[5,4,3],[4,1]]=>[[5,4,1],[2,1]]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) [[6,5,3],[5,2]]=>[[6,4,1],[3,1]]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7) [[7,6,3],[6,3]]=>[[7,4,1],[4,1]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[3,3,2,1],[2]]=>[[3,3,3,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) [[4,4,3,1],[3,1,1]]=>[[4,3,3,1],[3,1]]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,2,1],[3,1]]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) [[5,5,3,1],[4,2,1]]=>[[5,4,3,1],[4,2]]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7) [[5,5,2,1],[4,2]]=>[[5,5,3,1],[4,3]]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7) [[6,6,3,1],[5,3,1]]=>[[6,5,3,1],[5,3]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,3,2,1],[3]]=>[[4,4,4,1],[3,2,1]]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) [[5,4,3,1],[4,1,1]]=>[[5,4,4,1],[4,2,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[5,4,2,1],[4,1]]=>[[5,5,4,1],[4,3,1]]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7) [[6,5,3,1],[5,2,1]]=>[[6,5,4,1],[5,3,1]]=>([(2,5),(3,4),(3,6),(5,6)],7) [[6,5,2,1],[5,2]]=>[[6,6,4,1],[5,4,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[7,6,3,1],[6,3,1]]=>[[7,6,4,1],[6,4,1]]=>([(2,4),(3,5),(5,6)],7) [[4,4,2,2],[3,1,1]]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) [[5,5,3,2],[4,2,2]]=>[[5,3,3,1],[3,2]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,5,2,2],[4,2,1]]=>[[5,4,3,1],[3,3]]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7) [[6,6,3,2],[5,3,2]]=>[[6,4,3,1],[4,3]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,4,2,2],[4,1,1]]=>[[5,4,4,1],[3,3,1]]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7) [[6,5,3,2],[5,2,2]]=>[[6,4,4,1],[4,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,5,2,2],[5,2,1]]=>[[6,5,4,1],[4,4,1]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[7,6,3,2],[6,3,2]]=>[[7,5,4,1],[5,4,1]]=>([(2,4),(3,5),(5,6)],7) [[3,3,1,1,1],[2]]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) [[4,4,2,2,1],[3,1,1,1]]=>[[4,3,3,3,1],[3,2,2]]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7) [[4,4,2,1,1],[3,1,1]]=>[[4,4,3,3,1],[3,3,2]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,5,3,2,1],[4,2,2,1]]=>[[5,4,3,3,1],[4,3,2]]=>([(2,6),(3,4),(3,5),(5,6)],7) [[4,4,1,1,1],[3,1]]=>[[4,4,4,3,1],[3,3,3]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[5,5,2,2,1],[4,2,1,1]]=>[[5,4,4,3,1],[4,3,3]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,5,2,1,1],[4,2,1]]=>[[5,5,4,3,1],[4,4,3]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,6,3,2,1],[5,3,2,1]]=>[[6,5,4,3,1],[5,4,3]]=>([(3,4),(3,5),(5,6)],7) [[4,3,1,1,1],[3]]=>[[4,4,4,4,1],[3,3,3,1]]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7) [[5,4,2,2,1],[4,1,1,1]]=>[[5,4,4,4,1],[4,3,3,1]]=>([(2,5),(3,4),(4,6),(5,6)],7) [[5,4,2,1,1],[4,1,1]]=>[[5,5,4,4,1],[4,4,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,5,3,2,1],[5,2,2,1]]=>[[6,5,4,4,1],[5,4,3,1]]=>([(3,6),(4,5),(5,6)],7) [[5,4,1,1,1],[4,1]]=>[[5,5,5,4,1],[4,4,4,1]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[6,5,2,2,1],[5,2,1,1]]=>[[6,5,5,4,1],[5,4,4,1]]=>([(2,4),(3,5),(5,6)],7) [[6,5,2,1,1],[5,2,1]]=>[[6,6,5,4,1],[5,5,4,1]]=>([(2,4),(3,5),(5,6)],7) [[7,6,3,2,1],[6,3,2,1]]=>[[7,6,5,4,1],[6,5,4,1]]=>([(4,5),(5,6)],7) [[4,4,4],[3,2]]=>[[4,2,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) [[5,5,4],[4,3]]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) [[6,6,4],[5,4]]=>[[6,2,1],[2]]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7) [[5,4,4],[4,2]]=>[[5,3,1],[1,1]]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) [[6,5,4],[5,3]]=>[[6,3,1],[2,1]]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7) [[7,6,4],[6,4]]=>[[7,3,1],[3,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,3,1],[2,1]]=>[[3,3,2,1],[2]]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) [[4,4,4,1],[3,2,1]]=>[[4,3,2,1],[3]]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) [[4,4,3,1],[3,2]]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) [[5,5,4,1],[4,3,1]]=>[[5,4,2,1],[4,1]]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7) [[5,5,3,1],[4,3]]=>[[5,5,2,1],[4,2]]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7) [[6,6,4,1],[5,4,1]]=>[[6,5,2,1],[5,2]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[4,3,3,1],[3,1]]=>[[4,4,3,1],[3,1,1]]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[5,4,4,1],[4,2,1]]=>[[5,4,3,1],[4,1,1]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[5,4,3,1],[4,2]]=>[[5,5,3,1],[4,2,1]]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [[6,5,4,1],[5,3,1]]=>[[6,5,3,1],[5,2,1]]=>([(2,6),(3,4),(3,6),(4,5)],7) [[6,5,3,1],[5,3]]=>[[6,6,3,1],[5,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[7,6,4,1],[6,4,1]]=>[[7,6,3,1],[6,3,1]]=>([(2,4),(3,5),(5,6)],7) [[2,2,2,2],[1]]=>[[2,2,2,1],[]]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) [[3,3,3,2],[2,1,1]]=>[[3,2,2,1],[1]]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) [[4,4,4,2],[3,2,2]]=>[[4,2,2,1],[2]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[3,3,2,2],[2,1]]=>[[3,3,2,1],[1,1]]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) [[4,4,3,2],[3,2,1]]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) [[5,5,4,2],[4,3,2]]=>[[5,3,2,1],[3,1]]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7) [[4,4,2,2],[3,2]]=>[[4,4,2,1],[2,2]]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) [[5,5,3,2],[4,3,1]]=>[[5,4,2,1],[3,2]]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) [[6,6,4,2],[5,4,2]]=>[[6,4,2,1],[4,2]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[3,2,2,2],[2]]=>[[3,3,3,1],[1,1,1]]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) [[4,3,3,2],[3,1,1]]=>[[4,3,3,1],[2,1,1]]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,4,2],[4,2,2]]=>[[5,3,3,1],[3,1,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,3,2,2],[3,1]]=>[[4,4,3,1],[2,2,1]]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[5,4,3,2],[4,2,1]]=>[[5,4,3,1],[3,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7) [[6,5,4,2],[5,3,2]]=>[[6,4,3,1],[4,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,2,2],[4,2]]=>[[5,5,3,1],[3,3,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[6,5,3,2],[5,3,1]]=>[[6,5,3,1],[4,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[7,6,4,2],[6,4,2]]=>[[7,5,3,1],[5,3,1]]=>([(1,6),(2,5),(3,4)],7) [[2,2,2,1,1],[1]]=>[[2,2,2,2,1],[1,1]]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) [[3,3,3,2,1],[2,1,1,1]]=>[[3,2,2,2,1],[2,1]]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) [[3,3,3,1,1],[2,1,1]]=>[[3,3,2,2,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[4,4,4,2,1],[3,2,2,1]]=>[[4,3,2,2,1],[3,2]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[3,3,2,1,1],[2,1]]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) [[4,4,3,2,1],[3,2,1,1]]=>[[4,3,3,2,1],[3,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7) [[4,4,3,1,1],[3,2,1]]=>[[4,4,3,2,1],[3,3,1]]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7) [[5,5,4,2,1],[4,3,2,1]]=>[[5,4,3,2,1],[4,3,1]]=>([(2,5),(2,6),(3,4),(3,6)],7) [[4,4,2,1,1],[3,2]]=>[[4,4,4,2,1],[3,3,2]]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7) [[5,5,3,2,1],[4,3,1,1]]=>[[5,4,4,2,1],[4,3,2]]=>([(1,6),(2,6),(3,4),(3,5)],7) [[5,5,3,1,1],[4,3,1]]=>[[5,5,4,2,1],[4,4,2]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[6,6,4,2,1],[5,4,2,1]]=>[[6,5,4,2,1],[5,4,2]]=>([(2,6),(3,4),(3,5)],7) [[3,2,2,1,1],[2]]=>[[3,3,3,3,1],[2,2,1,1]]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) [[4,3,3,2,1],[3,1,1,1]]=>[[4,3,3,3,1],[3,2,1,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[4,3,3,1,1],[3,1,1]]=>[[4,4,3,3,1],[3,3,1,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,4,2,1],[4,2,2,1]]=>[[5,4,3,3,1],[4,3,1,1]]=>([(3,4),(3,5),(4,6),(5,6)],7) [[4,3,2,1,1],[3,1]]=>[[4,4,4,3,1],[3,3,2,1]]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7) [[5,4,3,2,1],[4,2,1,1]]=>[[5,4,4,3,1],[4,3,2,1]]=>([(2,6),(3,5),(4,5),(4,6)],7) [[5,4,3,1,1],[4,2,1]]=>[[5,5,4,3,1],[4,4,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,5,4,2,1],[5,3,2,1]]=>[[6,5,4,3,1],[5,4,2,1]]=>([(3,6),(4,5),(4,6)],7) [[5,4,2,1,1],[4,2]]=>[[5,5,5,3,1],[4,4,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,5,3,2,1],[5,3,1,1]]=>[[6,5,5,3,1],[5,4,3,1]]=>([(2,6),(3,6),(4,5)],7) [[6,5,3,1,1],[5,3,1]]=>[[6,6,5,3,1],[5,5,3,1]]=>([(1,6),(2,5),(3,4)],7) [[7,6,4,2,1],[6,4,2,1]]=>[[7,6,5,3,1],[6,5,3,1]]=>([(3,6),(4,5)],7) [[4,4,3,3],[3,2,2]]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) [[5,5,4,3],[4,3,3]]=>[[5,2,2,1],[2,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[5,5,3,3],[4,3,2]]=>[[5,3,2,1],[2,2]]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7) [[6,6,4,3],[5,4,3]]=>[[6,3,2,1],[3,2]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,4,3,3],[4,2,2]]=>[[5,3,3,1],[2,2,1]]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7) [[6,5,4,3],[5,3,3]]=>[[6,3,3,1],[3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[6,5,3,3],[5,3,2]]=>[[6,4,3,1],[3,3,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[7,6,4,3],[6,4,3]]=>[[7,4,3,1],[4,3,1]]=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,1],[2,1,1]]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) [[4,4,3,3,1],[3,2,2,1]]=>[[4,3,2,2,1],[3,1,1]]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7) [[4,4,3,2,1],[3,2,2]]=>[[4,4,2,2,1],[3,2,1]]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) [[5,5,4,3,1],[4,3,3,1]]=>[[5,4,2,2,1],[4,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,4,2,2,1],[3,2,1]]=>[[4,4,3,2,1],[3,2,2]]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) [[5,5,3,3,1],[4,3,2,1]]=>[[5,4,3,2,1],[4,2,2]]=>([(1,5),(1,6),(2,3),(2,4)],7) [[5,5,3,2,1],[4,3,2]]=>[[5,5,3,2,1],[4,3,2]]=>([(1,6),(2,6),(3,4),(3,5)],7) [[6,6,4,3,1],[5,4,3,1]]=>[[6,5,3,2,1],[5,3,2]]=>([(2,6),(3,4),(3,5)],7) [[4,3,2,2,1],[3,1,1]]=>[[4,4,3,3,1],[3,2,2,1]]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [[5,4,3,3,1],[4,2,2,1]]=>[[5,4,3,3,1],[4,2,2,1]]=>([(2,6),(3,4),(3,5),(5,6)],7) [[5,4,3,2,1],[4,2,2]]=>[[5,5,3,3,1],[4,3,2,1]]=>([(1,6),(2,6),(3,5),(4,5)],7) [[6,5,4,3,1],[5,3,3,1]]=>[[6,5,3,3,1],[5,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[5,4,2,2,1],[4,2,1]]=>[[5,5,4,3,1],[4,3,3,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,5,3,3,1],[5,3,2,1]]=>[[6,5,4,3,1],[5,3,3,1]]=>([(2,6),(3,4),(3,5)],7) [[6,5,3,2,1],[5,3,2]]=>[[6,6,4,3,1],[5,4,3,1]]=>([(2,6),(3,6),(4,5)],7) [[7,6,4,3,1],[6,4,3,1]]=>[[7,6,4,3,1],[6,4,3,1]]=>([(3,6),(4,5)],7) [[3,3,2,2,2],[2,1,1,1]]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) [[4,4,3,3,2],[3,2,2,2]]=>[[4,2,2,2,1],[2,1,1]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[4,4,3,2,2],[3,2,2,1]]=>[[4,3,2,2,1],[2,2,1]]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) [[5,5,4,3,2],[4,3,3,2]]=>[[5,3,2,2,1],[3,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,4,2,2,2],[3,2,1,1]]=>[[4,3,3,2,1],[2,2,2]]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7) [[5,5,3,3,2],[4,3,2,2]]=>[[5,3,3,2,1],[3,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,5,3,2,2],[4,3,2,1]]=>[[5,4,3,2,1],[3,3,2]]=>([(1,5),(1,6),(2,3),(2,4)],7) [[6,6,4,3,2],[5,4,3,2]]=>[[6,4,3,2,1],[4,3,2]]=>([(2,6),(3,4),(3,5)],7) [[4,3,2,2,2],[3,1,1,1]]=>[[4,3,3,3,1],[2,2,2,1]]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7) [[5,4,3,3,2],[4,2,2,2]]=>[[5,3,3,3,1],[3,2,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,4,3,2,2],[4,2,2,1]]=>[[5,4,3,3,1],[3,3,2,1]]=>([(1,6),(2,6),(3,4),(3,5)],7) [[6,5,4,3,2],[5,3,3,2]]=>[[6,4,3,3,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[5,4,2,2,2],[4,2,1,1]]=>[[5,4,4,3,1],[3,3,3,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,5,3,3,2],[5,3,2,2]]=>[[6,4,4,3,1],[4,3,3,1]]=>([(1,6),(2,5),(3,4)],7) [[6,5,3,2,2],[5,3,2,1]]=>[[6,5,4,3,1],[4,4,3,1]]=>([(2,6),(3,4),(3,5)],7) [[7,6,4,3,2],[6,4,3,2]]=>[[7,5,4,3,1],[5,4,3,1]]=>([(3,6),(4,5)],7) [[2,2,1,1,1,1],[1]]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) [[3,3,2,2,2,1],[2,1,1,1,1]]=>[[3,2,2,2,2,1],[2,1,1,1]]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7) [[3,3,2,2,1,1],[2,1,1,1]]=>[[3,3,2,2,2,1],[2,2,1,1]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[4,4,3,3,2,1],[3,2,2,2,1]]=>[[4,3,2,2,2,1],[3,2,1,1]]=>([(2,5),(3,4),(3,6),(5,6)],7) [[3,3,2,1,1,1],[2,1,1]]=>[[3,3,3,2,2,1],[2,2,2,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[4,4,3,2,2,1],[3,2,2,1,1]]=>[[4,3,3,2,2,1],[3,2,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,4,3,2,1,1],[3,2,2,1]]=>[[4,4,3,2,2,1],[3,3,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,5,4,3,2,1],[4,3,3,2,1]]=>[[5,4,3,2,2,1],[4,3,2,1]]=>([(3,6),(4,5),(4,6)],7) [[3,3,1,1,1,1],[2,1]]=>[[3,3,3,3,2,1],[2,2,2,2]]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7) [[4,4,2,2,2,1],[3,2,1,1,1]]=>[[4,3,3,3,2,1],[3,2,2,2]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[4,4,2,2,1,1],[3,2,1,1]]=>[[4,4,3,3,2,1],[3,3,2,2]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,5,3,3,2,1],[4,3,2,2,1]]=>[[5,4,3,3,2,1],[4,3,2,2]]=>([(2,6),(3,4),(3,5)],7) [[4,4,2,1,1,1],[3,2,1]]=>[[4,4,4,3,2,1],[3,3,3,2]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,5,3,2,2,1],[4,3,2,1,1]]=>[[5,4,4,3,2,1],[4,3,3,2]]=>([(2,6),(3,4),(3,5)],7) [[5,5,3,2,1,1],[4,3,2,1]]=>[[5,5,4,3,2,1],[4,4,3,2]]=>([(2,6),(3,4),(3,5)],7) [[6,6,4,3,2,1],[5,4,3,2,1]]=>[[6,5,4,3,2,1],[5,4,3,2]]=>([(4,5),(4,6)],7) [[3,2,1,1,1,1],[2]]=>[[3,3,3,3,3,1],[2,2,2,2,1]]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) [[4,3,2,2,2,1],[3,1,1,1,1]]=>[[4,3,3,3,3,1],[3,2,2,2,1]]=>([(2,6),(3,4),(4,5),(5,6)],7) [[4,3,2,2,1,1],[3,1,1,1]]=>[[4,4,3,3,3,1],[3,3,2,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,4,3,3,2,1],[4,2,2,2,1]]=>[[5,4,3,3,3,1],[4,3,2,2,1]]=>([(3,6),(4,5),(5,6)],7) [[4,3,2,1,1,1],[3,1,1]]=>[[4,4,4,3,3,1],[3,3,3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,4,3,2,2,1],[4,2,2,1,1]]=>[[5,4,4,3,3,1],[4,3,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[5,4,3,2,1,1],[4,2,2,1]]=>[[5,5,4,3,3,1],[4,4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[6,5,4,3,2,1],[5,3,3,2,1]]=>[[6,5,4,3,3,1],[5,4,3,2,1]]=>([(4,6),(5,6)],7) [[4,3,1,1,1,1],[3,1]]=>[[4,4,4,4,3,1],[3,3,3,3,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,4,2,2,2,1],[4,2,1,1,1]]=>[[5,4,4,4,3,1],[4,3,3,3,1]]=>([(2,4),(3,5),(5,6)],7) [[5,4,2,2,1,1],[4,2,1,1]]=>[[5,5,4,4,3,1],[4,4,3,3,1]]=>([(1,6),(2,5),(3,4)],7) [[6,5,3,3,2,1],[5,3,2,2,1]]=>[[6,5,4,4,3,1],[5,4,3,3,1]]=>([(3,6),(4,5)],7) [[5,4,2,1,1,1],[4,2,1]]=>[[5,5,5,4,3,1],[4,4,4,3,1]]=>([(2,4),(3,5),(5,6)],7) [[6,5,3,2,2,1],[5,3,2,1,1]]=>[[6,5,5,4,3,1],[5,4,4,3,1]]=>([(3,6),(4,5)],7) [[6,5,3,2,1,1],[5,3,2,1]]=>[[6,6,5,4,3,1],[5,5,4,3,1]]=>([(3,6),(4,5)],7) [[7,6,4,3,2,1],[6,4,3,2,1]]=>[[7,6,5,4,3,1],[6,5,4,3,1]]=>([(5,6)],7) [[5,5,5],[4,4]]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) [[6,6,5],[5,5]]=>[[6,1,1],[1]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[6,5,5],[5,4]]=>[[6,2,1],[1,1]]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) [[7,6,5],[6,5]]=>[[7,2,1],[2,1]]=>([(2,6),(4,5),(5,3),(6,4)],7) [[4,4,4,1],[3,3]]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) [[5,5,5,1],[4,4,1]]=>[[5,4,1,1],[4]]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7) [[5,5,4,1],[4,4]]=>[[5,5,1,1],[4,1]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[6,6,5,1],[5,5,1]]=>[[6,5,1,1],[5,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,4,4,1],[4,3]]=>[[5,5,2,1],[4,1,1]]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7) [[6,5,5,1],[5,4,1]]=>[[6,5,2,1],[5,1,1]]=>([(2,4),(2,6),(5,3),(6,5)],7) [[6,5,4,1],[5,4]]=>[[6,6,2,1],[5,2,1]]=>([(2,6),(3,4),(4,5),(5,6)],7) [[7,6,5,1],[6,5,1]]=>[[7,6,2,1],[6,2,1]]=>([(3,4),(4,6),(6,5)],7) [[3,3,3,2],[2,2]]=>[[3,3,1,1],[1]]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) [[4,4,4,2],[3,3,1]]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) [[5,5,5,2],[4,4,2]]=>[[5,3,1,1],[3]]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7) [[4,4,3,2],[3,3]]=>[[4,4,1,1],[2,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,5,4,2],[4,4,1]]=>[[5,4,1,1],[3,1]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[6,6,5,2],[5,5,2]]=>[[6,4,1,1],[4,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,3,3,2],[3,2]]=>[[4,4,2,1],[2,1,1]]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,4,2],[4,3,1]]=>[[5,4,2,1],[3,1,1]]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7) [[6,5,5,2],[5,4,2]]=>[[6,4,2,1],[4,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,4,3,2],[4,3]]=>[[5,5,2,1],[3,2,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[6,5,4,2],[5,4,1]]=>[[6,5,2,1],[4,2,1]]=>([(2,5),(3,4),(3,6),(5,6)],7) [[7,6,5,2],[6,5,2]]=>[[7,5,2,1],[5,2,1]]=>([(2,4),(3,5),(5,6)],7) [[3,3,3,1,1],[2,2]]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) [[4,4,4,2,1],[3,3,1,1]]=>[[4,3,3,1,1],[3,2]]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7) [[4,4,4,1,1],[3,3,1]]=>[[4,4,3,1,1],[3,3]]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7) [[5,5,5,2,1],[4,4,2,1]]=>[[5,4,3,1,1],[4,3]]=>([(2,5),(2,6),(5,4),(6,3)],7) [[4,4,3,1,1],[3,3]]=>[[4,4,4,1,1],[3,3,1]]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7) [[5,5,4,2,1],[4,4,1,1]]=>[[5,4,4,1,1],[4,3,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,5,4,1,1],[4,4,1]]=>[[5,5,4,1,1],[4,4,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[6,6,5,2,1],[5,5,2,1]]=>[[6,5,4,1,1],[5,4,1]]=>([(2,4),(3,5),(5,6)],7) [[4,3,3,1,1],[3,2]]=>[[4,4,4,2,1],[3,3,1,1]]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7) [[5,4,4,2,1],[4,3,1,1]]=>[[5,4,4,2,1],[4,3,1,1]]=>([(2,6),(3,4),(3,5),(5,6)],7) [[5,4,4,1,1],[4,3,1]]=>[[5,5,4,2,1],[4,4,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,5,5,2,1],[5,4,2,1]]=>[[6,5,4,2,1],[5,4,1,1]]=>([(3,4),(3,5),(5,6)],7) [[5,4,3,1,1],[4,3]]=>[[5,5,5,2,1],[4,4,2,1]]=>([(2,5),(3,4),(4,6),(5,6)],7) [[6,5,4,2,1],[5,4,1,1]]=>[[6,5,5,2,1],[5,4,2,1]]=>([(3,6),(4,5),(5,6)],7) [[6,5,4,1,1],[5,4,1]]=>[[6,6,5,2,1],[5,5,2,1]]=>([(2,4),(3,5),(5,6)],7) [[7,6,5,2,1],[6,5,2,1]]=>[[7,6,5,2,1],[6,5,2,1]]=>([(4,5),(5,6)],7) [[3,3,3,3],[2,2,1]]=>[[3,2,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) [[4,4,4,3],[3,3,2]]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) [[5,5,5,3],[4,4,3]]=>[[5,2,1,1],[2]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[4,4,3,3],[3,3,1]]=>[[4,3,1,1],[1,1]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[5,5,4,3],[4,4,2]]=>[[5,3,1,1],[2,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[6,6,5,3],[5,5,3]]=>[[6,3,1,1],[3,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,3,3,3],[3,2,1]]=>[[4,3,2,1],[1,1,1]]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) [[5,4,4,3],[4,3,2]]=>[[5,3,2,1],[2,1,1]]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7) [[6,5,5,3],[5,4,3]]=>[[6,3,2,1],[3,1,1]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,4,3,3],[4,3,1]]=>[[5,4,2,1],[2,2,1]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[6,5,4,3],[5,4,2]]=>[[6,4,2,1],[3,2,1]]=>([(2,6),(3,4),(3,6),(4,5)],7) [[7,6,5,3],[6,5,3]]=>[[7,4,2,1],[4,2,1]]=>([(2,4),(3,5),(5,6)],7) [[2,2,2,2,1],[1,1]]=>[[2,2,2,1,1],[1]]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) [[3,3,3,3,1],[2,2,1,1]]=>[[3,2,2,1,1],[2]]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) [[3,3,3,2,1],[2,2,1]]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) [[4,4,4,3,1],[3,3,2,1]]=>[[4,3,2,1,1],[3,1]]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7) [[4,4,4,2,1],[3,3,2]]=>[[4,4,2,1,1],[3,2]]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7) [[5,5,5,3,1],[4,4,3,1]]=>[[5,4,2,1,1],[4,2]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[3,3,2,2,1],[2,2]]=>[[3,3,3,1,1],[2,1,1]]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,3,3,1],[3,3,1,1]]=>[[4,3,3,1,1],[3,1,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[4,4,3,2,1],[3,3,1]]=>[[4,4,3,1,1],[3,2,1]]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7) [[5,5,4,3,1],[4,4,2,1]]=>[[5,4,3,1,1],[4,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,5,4,2,1],[4,4,2]]=>[[5,5,3,1,1],[4,3,1]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[6,6,5,3,1],[5,5,3,1]]=>[[6,5,3,1,1],[5,3,1]]=>([(1,6),(2,5),(3,4)],7) [[3,2,2,2,1],[2,1]]=>[[3,3,3,2,1],[2,1,1,1]]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) [[4,3,3,3,1],[3,2,1,1]]=>[[4,3,3,2,1],[3,1,1,1]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[4,3,3,2,1],[3,2,1]]=>[[4,4,3,2,1],[3,2,1,1]]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7) [[5,4,4,3,1],[4,3,2,1]]=>[[5,4,3,2,1],[4,2,1,1]]=>([(2,5),(2,6),(3,4),(3,6)],7) [[5,4,4,2,1],[4,3,2]]=>[[5,5,3,2,1],[4,3,1,1]]=>([(1,6),(2,6),(3,4),(3,5)],7) [[6,5,5,3,1],[5,4,3,1]]=>[[6,5,3,2,1],[5,3,1,1]]=>([(2,6),(3,4),(3,5)],7) [[4,3,2,2,1],[3,2]]=>[[4,4,4,2,1],[3,2,2,1]]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) [[5,4,3,3,1],[4,3,1,1]]=>[[5,4,4,2,1],[4,2,2,1]]=>([(3,4),(3,5),(4,6),(5,6)],7) [[5,4,3,2,1],[4,3,1]]=>[[5,5,4,2,1],[4,3,2,1]]=>([(2,6),(3,5),(4,5),(4,6)],7) [[6,5,4,3,1],[5,4,2,1]]=>[[6,5,4,2,1],[5,3,2,1]]=>([(3,6),(4,5),(4,6)],7) [[6,5,4,2,1],[5,4,2]]=>[[6,6,4,2,1],[5,4,2,1]]=>([(2,6),(3,6),(4,5)],7) [[7,6,5,3,1],[6,5,3,1]]=>[[7,6,4,2,1],[6,4,2,1]]=>([(3,6),(4,5)],7) [[3,3,3,2,2],[2,2,1,1]]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) [[4,4,4,3,2],[3,3,2,2]]=>[[4,2,2,1,1],[2,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[4,4,4,2,2],[3,3,2,1]]=>[[4,3,2,1,1],[2,2]]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7) [[5,5,5,3,2],[4,4,3,2]]=>[[5,3,2,1,1],[3,2]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,4,3,2,2],[3,3,1,1]]=>[[4,3,3,1,1],[2,2,1]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,5,4,3,2],[4,4,2,2]]=>[[5,3,3,1,1],[3,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,5,4,2,2],[4,4,2,1]]=>[[5,4,3,1,1],[3,3,1]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[6,6,5,3,2],[5,5,3,2]]=>[[6,4,3,1,1],[4,3,1]]=>([(1,6),(2,5),(3,4)],7) [[4,3,3,2,2],[3,2,1,1]]=>[[4,3,3,2,1],[2,2,1,1]]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7) [[5,4,4,3,2],[4,3,2,2]]=>[[5,3,3,2,1],[3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,4,2,2],[4,3,2,1]]=>[[5,4,3,2,1],[3,3,1,1]]=>([(1,5),(1,6),(2,3),(2,4)],7) [[6,5,5,3,2],[5,4,3,2]]=>[[6,4,3,2,1],[4,3,1,1]]=>([(2,6),(3,4),(3,5)],7) [[5,4,3,2,2],[4,3,1,1]]=>[[5,4,4,2,1],[3,3,2,1]]=>([(2,6),(3,4),(3,5),(5,6)],7) [[6,5,4,3,2],[5,4,2,2]]=>[[6,4,4,2,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[6,5,4,2,2],[5,4,2,1]]=>[[6,5,4,2,1],[4,4,2,1]]=>([(2,6),(3,4),(3,5)],7) [[7,6,5,3,2],[6,5,3,2]]=>[[7,5,4,2,1],[5,4,2,1]]=>([(3,6),(4,5)],7) [[2,2,2,1,1,1],[1,1]]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) [[3,3,3,2,2,1],[2,2,1,1,1]]=>[[3,2,2,2,1,1],[2,1,1]]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7) [[3,3,3,2,1,1],[2,2,1,1]]=>[[3,3,2,2,1,1],[2,2,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[4,4,4,3,2,1],[3,3,2,2,1]]=>[[4,3,2,2,1,1],[3,2,1]]=>([(2,6),(3,4),(3,6),(4,5)],7) [[3,3,3,1,1,1],[2,2,1]]=>[[3,3,3,2,1,1],[2,2,2]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[4,4,4,2,2,1],[3,3,2,1,1]]=>[[4,3,3,2,1,1],[3,2,2]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,4,4,2,1,1],[3,3,2,1]]=>[[4,4,3,2,1,1],[3,3,2]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,5,5,3,2,1],[4,4,3,2,1]]=>[[5,4,3,2,1,1],[4,3,2]]=>([(3,4),(3,5),(5,6)],7) [[3,3,2,1,1,1],[2,2]]=>[[3,3,3,3,1,1],[2,2,2,1]]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) [[4,4,3,2,2,1],[3,3,1,1,1]]=>[[4,3,3,3,1,1],[3,2,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[4,4,3,2,1,1],[3,3,1,1]]=>[[4,4,3,3,1,1],[3,3,2,1]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,5,4,3,2,1],[4,4,2,2,1]]=>[[5,4,3,3,1,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[4,4,3,1,1,1],[3,3,1]]=>[[4,4,4,3,1,1],[3,3,3,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,5,4,2,2,1],[4,4,2,1,1]]=>[[5,4,4,3,1,1],[4,3,3,1]]=>([(1,6),(2,5),(3,4)],7) [[5,5,4,2,1,1],[4,4,2,1]]=>[[5,5,4,3,1,1],[4,4,3,1]]=>([(1,6),(2,5),(3,4)],7) [[6,6,5,3,2,1],[5,5,3,2,1]]=>[[6,5,4,3,1,1],[5,4,3,1]]=>([(3,6),(4,5)],7) [[3,2,2,1,1,1],[2,1]]=>[[3,3,3,3,2,1],[2,2,2,1,1]]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7) [[4,3,3,2,2,1],[3,2,1,1,1]]=>[[4,3,3,3,2,1],[3,2,2,1,1]]=>([(2,5),(3,4),(3,6),(5,6)],7) [[4,3,3,2,1,1],[3,2,1,1]]=>[[4,4,3,3,2,1],[3,3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,4,3,2,1],[4,3,2,2,1]]=>[[5,4,3,3,2,1],[4,3,2,1,1]]=>([(3,6),(4,5),(4,6)],7) [[4,3,3,1,1,1],[3,2,1]]=>[[4,4,4,3,2,1],[3,3,3,1,1]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,4,4,2,2,1],[4,3,2,1,1]]=>[[5,4,4,3,2,1],[4,3,3,1,1]]=>([(2,6),(3,4),(3,5)],7) [[5,4,4,2,1,1],[4,3,2,1]]=>[[5,5,4,3,2,1],[4,4,3,1,1]]=>([(2,6),(3,4),(3,5)],7) [[6,5,5,3,2,1],[5,4,3,2,1]]=>[[6,5,4,3,2,1],[5,4,3,1,1]]=>([(4,5),(4,6)],7) [[4,3,2,1,1,1],[3,2]]=>[[4,4,4,4,2,1],[3,3,3,2,1]]=>([(2,6),(3,4),(4,5),(5,6)],7) [[5,4,3,2,2,1],[4,3,1,1,1]]=>[[5,4,4,4,2,1],[4,3,3,2,1]]=>([(3,6),(4,5),(5,6)],7) [[5,4,3,2,1,1],[4,3,1,1]]=>[[5,5,4,4,2,1],[4,4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[6,5,4,3,2,1],[5,4,2,2,1]]=>[[6,5,4,4,2,1],[5,4,3,2,1]]=>([(4,6),(5,6)],7) [[5,4,3,1,1,1],[4,3,1]]=>[[5,5,5,4,2,1],[4,4,4,2,1]]=>([(2,4),(3,5),(5,6)],7) [[6,5,4,2,2,1],[5,4,2,1,1]]=>[[6,5,5,4,2,1],[5,4,4,2,1]]=>([(3,6),(4,5)],7) [[6,5,4,2,1,1],[5,4,2,1]]=>[[6,6,5,4,2,1],[5,5,4,2,1]]=>([(3,6),(4,5)],7) [[7,6,5,3,2,1],[6,5,3,2,1]]=>[[7,6,5,4,2,1],[6,5,4,2,1]]=>([(5,6)],7) [[4,4,4,4],[3,3,3]]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) [[5,5,5,4],[4,4,4]]=>[[5,1,1,1],[1]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[5,5,4,4],[4,4,3]]=>[[5,2,1,1],[1,1]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[6,6,5,4],[5,5,4]]=>[[6,2,1,1],[2,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[5,4,4,4],[4,3,3]]=>[[5,2,2,1],[1,1,1]]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7) [[6,5,5,4],[5,4,4]]=>[[6,2,2,1],[2,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[6,5,4,4],[5,4,3]]=>[[6,3,2,1],[2,2,1]]=>([(2,4),(2,6),(5,3),(6,5)],7) [[7,6,5,4],[6,5,4]]=>[[7,3,2,1],[3,2,1]]=>([(3,4),(4,6),(6,5)],7) [[3,3,3,3,1],[2,2,2]]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) [[4,4,4,4,1],[3,3,3,1]]=>[[4,3,1,1,1],[3]]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7) [[4,4,4,3,1],[3,3,3]]=>[[4,4,1,1,1],[3,1]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[5,5,5,4,1],[4,4,4,1]]=>[[5,4,1,1,1],[4,1]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,4,3,3,1],[3,3,2]]=>[[4,4,2,1,1],[3,1,1]]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7) [[5,5,4,4,1],[4,4,3,1]]=>[[5,4,2,1,1],[4,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,5,4,3,1],[4,4,3]]=>[[5,5,2,1,1],[4,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,6,5,4,1],[5,5,4,1]]=>[[6,5,2,1,1],[5,2,1]]=>([(2,4),(3,5),(5,6)],7) [[4,3,3,3,1],[3,2,2]]=>[[4,4,2,2,1],[3,1,1,1]]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7) [[5,4,4,4,1],[4,3,3,1]]=>[[5,4,2,2,1],[4,1,1,1]]=>([(2,5),(2,6),(5,4),(6,3)],7) [[5,4,4,3,1],[4,3,3]]=>[[5,5,2,2,1],[4,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[6,5,5,4,1],[5,4,4,1]]=>[[6,5,2,2,1],[5,2,1,1]]=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,1],[4,3,2]]=>[[5,5,3,2,1],[4,2,2,1]]=>([(2,6),(3,4),(3,5),(5,6)],7) [[6,5,4,4,1],[5,4,3,1]]=>[[6,5,3,2,1],[5,2,2,1]]=>([(3,4),(3,5),(5,6)],7) [[6,5,4,3,1],[5,4,3]]=>[[6,6,3,2,1],[5,3,2,1]]=>([(3,6),(4,5),(5,6)],7) [[7,6,5,4,1],[6,5,4,1]]=>[[7,6,3,2,1],[6,3,2,1]]=>([(4,5),(5,6)],7) [[2,2,2,2,2],[1,1,1]]=>[[2,2,1,1,1],[]]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) [[3,3,3,3,2],[2,2,2,1]]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) [[4,4,4,4,2],[3,3,3,2]]=>[[4,2,1,1,1],[2]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[3,3,3,2,2],[2,2,2]]=>[[3,3,1,1,1],[1,1]]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) [[4,4,4,3,2],[3,3,3,1]]=>[[4,3,1,1,1],[2,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[5,5,5,4,2],[4,4,4,2]]=>[[5,3,1,1,1],[3,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[3,3,2,2,2],[2,2,1]]=>[[3,3,2,1,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) [[4,4,3,3,2],[3,3,2,1]]=>[[4,3,2,1,1],[2,1,1]]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7) [[5,5,4,4,2],[4,4,3,2]]=>[[5,3,2,1,1],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[4,4,3,2,2],[3,3,2]]=>[[4,4,2,1,1],[2,2,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,5,4,3,2],[4,4,3,1]]=>[[5,4,2,1,1],[3,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,6,5,4,2],[5,5,4,2]]=>[[6,4,2,1,1],[4,2,1]]=>([(1,6),(2,5),(3,4)],7) [[3,2,2,2,2],[2,1,1]]=>[[3,3,2,2,1],[1,1,1,1]]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) [[4,3,3,3,2],[3,2,2,1]]=>[[4,3,2,2,1],[2,1,1,1]]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7) [[5,4,4,4,2],[4,3,3,2]]=>[[5,3,2,2,1],[3,1,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,3,3,2,2],[3,2,2]]=>[[4,4,2,2,1],[2,2,1,1]]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7) [[5,4,4,3,2],[4,3,3,1]]=>[[5,4,2,2,1],[3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[6,5,5,4,2],[5,4,4,2]]=>[[6,4,2,2,1],[4,2,1,1]]=>([(1,6),(2,5),(3,4)],7) [[4,3,2,2,2],[3,2,1]]=>[[4,4,3,2,1],[2,2,2,1]]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) [[5,4,3,3,2],[4,3,2,1]]=>[[5,4,3,2,1],[3,2,2,1]]=>([(2,5),(2,6),(3,4),(3,6)],7) [[6,5,4,4,2],[5,4,3,2]]=>[[6,4,3,2,1],[4,2,2,1]]=>([(2,6),(3,4),(3,5)],7) [[5,4,3,2,2],[4,3,2]]=>[[5,5,3,2,1],[3,3,2,1]]=>([(3,4),(3,5),(4,6),(5,6)],7) [[6,5,4,3,2],[5,4,3,1]]=>[[6,5,3,2,1],[4,3,2,1]]=>([(3,6),(4,5),(4,6)],7) [[7,6,5,4,2],[6,5,4,2]]=>[[7,5,3,2,1],[5,3,2,1]]=>([(3,6),(4,5)],7) [[2,2,2,2,1,1],[1,1,1]]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) [[3,3,3,3,2,1],[2,2,2,1,1]]=>[[3,2,2,1,1,1],[2,1]]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7) [[3,3,3,3,1,1],[2,2,2,1]]=>[[3,3,2,1,1,1],[2,2]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[4,4,4,4,2,1],[3,3,3,2,1]]=>[[4,3,2,1,1,1],[3,2]]=>([(2,4),(2,6),(5,3),(6,5)],7) [[3,3,3,2,1,1],[2,2,2]]=>[[3,3,3,1,1,1],[2,2,1]]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) [[4,4,4,3,2,1],[3,3,3,1,1]]=>[[4,3,3,1,1,1],[3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[4,4,4,3,1,1],[3,3,3,1]]=>[[4,4,3,1,1,1],[3,3,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,5,5,4,2,1],[4,4,4,2,1]]=>[[5,4,3,1,1,1],[4,3,1]]=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,1,1],[2,2,1]]=>[[3,3,3,2,1,1],[2,2,1,1]]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) [[4,4,3,3,2,1],[3,3,2,1,1]]=>[[4,3,3,2,1,1],[3,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[4,4,3,3,1,1],[3,3,2,1]]=>[[4,4,3,2,1,1],[3,3,1,1]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,5,4,4,2,1],[4,4,3,2,1]]=>[[5,4,3,2,1,1],[4,3,1,1]]=>([(2,6),(3,4),(3,5)],7) [[4,4,3,2,1,1],[3,3,2]]=>[[4,4,4,2,1,1],[3,3,2,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,5,4,3,2,1],[4,4,3,1,1]]=>[[5,4,4,2,1,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[5,5,4,3,1,1],[4,4,3,1]]=>[[5,5,4,2,1,1],[4,4,2,1]]=>([(1,6),(2,5),(3,4)],7) [[6,6,5,4,2,1],[5,5,4,2,1]]=>[[6,5,4,2,1,1],[5,4,2,1]]=>([(3,6),(4,5)],7) [[3,2,2,2,1,1],[2,1,1]]=>[[3,3,3,2,2,1],[2,2,1,1,1]]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7) [[4,3,3,3,2,1],[3,2,2,1,1]]=>[[4,3,3,2,2,1],[3,2,1,1,1]]=>([(2,6),(3,4),(3,6),(4,5)],7) [[4,3,3,3,1,1],[3,2,2,1]]=>[[4,4,3,2,2,1],[3,3,1,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,4,4,4,2,1],[4,3,3,2,1]]=>[[5,4,3,2,2,1],[4,3,1,1,1]]=>([(3,4),(3,5),(5,6)],7) [[4,3,3,2,1,1],[3,2,2]]=>[[4,4,4,2,2,1],[3,3,2,1,1]]=>([(1,6),(2,4),(3,5),(5,6)],7) [[5,4,4,3,2,1],[4,3,3,1,1]]=>[[5,4,4,2,2,1],[4,3,2,1,1]]=>([(2,6),(3,6),(4,5)],7) [[5,4,4,3,1,1],[4,3,3,1]]=>[[5,5,4,2,2,1],[4,4,2,1,1]]=>([(1,6),(2,5),(3,4)],7) [[6,5,5,4,2,1],[5,4,4,2,1]]=>[[6,5,4,2,2,1],[5,4,2,1,1]]=>([(3,6),(4,5)],7) [[4,3,2,2,1,1],[3,2,1]]=>[[4,4,4,3,2,1],[3,3,2,2,1]]=>([(2,5),(3,4),(3,6),(5,6)],7) [[5,4,3,3,2,1],[4,3,2,1,1]]=>[[5,4,4,3,2,1],[4,3,2,2,1]]=>([(3,6),(4,5),(4,6)],7) [[5,4,3,3,1,1],[4,3,2,1]]=>[[5,5,4,3,2,1],[4,4,2,2,1]]=>([(2,6),(3,4),(3,5)],7) [[6,5,4,4,2,1],[5,4,3,2,1]]=>[[6,5,4,3,2,1],[5,4,2,2,1]]=>([(4,5),(4,6)],7) [[5,4,3,2,1,1],[4,3,2]]=>[[5,5,5,3,2,1],[4,4,3,2,1]]=>([(3,6),(4,5),(5,6)],7) [[6,5,4,3,2,1],[5,4,3,1,1]]=>[[6,5,5,3,2,1],[5,4,3,2,1]]=>([(4,6),(5,6)],7) [[6,5,4,3,1,1],[5,4,3,1]]=>[[6,6,5,3,2,1],[5,5,3,2,1]]=>([(3,6),(4,5)],7) [[7,6,5,4,2,1],[6,5,4,2,1]]=>[[7,6,5,3,2,1],[6,5,3,2,1]]=>([(5,6)],7) [[3,3,3,3,3],[2,2,2,2]]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) [[4,4,4,4,3],[3,3,3,3]]=>[[4,1,1,1,1],[1]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[4,4,4,3,3],[3,3,3,2]]=>[[4,2,1,1,1],[1,1]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[5,5,5,4,3],[4,4,4,3]]=>[[5,2,1,1,1],[2,1]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,4,3,3,3],[3,3,2,2]]=>[[4,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7) [[5,5,4,4,3],[4,4,3,3]]=>[[5,2,2,1,1],[2,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[5,5,4,3,3],[4,4,3,2]]=>[[5,3,2,1,1],[2,2,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,6,5,4,3],[5,5,4,3]]=>[[6,3,2,1,1],[3,2,1]]=>([(2,4),(3,5),(5,6)],7) [[4,3,3,3,3],[3,2,2,2]]=>[[4,2,2,2,1],[1,1,1,1]]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7) [[5,4,4,4,3],[4,3,3,3]]=>[[5,2,2,2,1],[2,1,1,1]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[5,4,4,3,3],[4,3,3,2]]=>[[5,3,2,2,1],[2,2,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[6,5,5,4,3],[5,4,4,3]]=>[[6,3,2,2,1],[3,2,1,1]]=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,3],[4,3,2,2]]=>[[5,3,3,2,1],[2,2,2,1]]=>([(2,5),(2,6),(5,4),(6,3)],7) [[6,5,4,4,3],[5,4,3,3]]=>[[6,3,3,2,1],[3,2,2,1]]=>([(2,4),(3,5),(5,6)],7) [[6,5,4,3,3],[5,4,3,2]]=>[[6,4,3,2,1],[3,3,2,1]]=>([(3,4),(3,5),(5,6)],7) [[7,6,5,4,3],[6,5,4,3]]=>[[7,4,3,2,1],[4,3,2,1]]=>([(4,5),(5,6)],7) [[2,2,2,2,2,1],[1,1,1,1]]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) [[3,3,3,3,3,1],[2,2,2,2,1]]=>[[3,2,1,1,1,1],[2]]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) [[3,3,3,3,2,1],[2,2,2,2]]=>[[3,3,1,1,1,1],[2,1]]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7) [[4,4,4,4,3,1],[3,3,3,3,1]]=>[[4,3,1,1,1,1],[3,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,3,2,2,1],[2,2,2,1]]=>[[3,3,2,1,1,1],[2,1,1]]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7) [[4,4,4,3,3,1],[3,3,3,2,1]]=>[[4,3,2,1,1,1],[3,1,1]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[4,4,4,3,2,1],[3,3,3,2]]=>[[4,4,2,1,1,1],[3,2,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,5,5,4,3,1],[4,4,4,3,1]]=>[[5,4,2,1,1,1],[4,2,1]]=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,2,1],[2,2,1,1]]=>[[3,3,2,2,1,1],[2,1,1,1]]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) [[4,4,3,3,3,1],[3,3,2,2,1]]=>[[4,3,2,2,1,1],[3,1,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[4,4,3,3,2,1],[3,3,2,2]]=>[[4,4,2,2,1,1],[3,2,1,1]]=>([(0,6),(1,6),(2,5),(3,4)],7) [[5,5,4,4,3,1],[4,4,3,3,1]]=>[[5,4,2,2,1,1],[4,2,1,1]]=>([(1,6),(2,5),(3,4)],7) [[4,4,3,2,2,1],[3,3,2,1]]=>[[4,4,3,2,1,1],[3,2,2,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,5,4,3,3,1],[4,4,3,2,1]]=>[[5,4,3,2,1,1],[4,2,2,1]]=>([(2,6),(3,4),(3,5)],7) [[5,5,4,3,2,1],[4,4,3,2]]=>[[5,5,3,2,1,1],[4,3,2,1]]=>([(2,6),(3,6),(4,5)],7) [[6,6,5,4,3,1],[5,5,4,3,1]]=>[[6,5,3,2,1,1],[5,3,2,1]]=>([(3,6),(4,5)],7) [[3,2,2,2,2,1],[2,1,1,1]]=>[[3,3,2,2,2,1],[2,1,1,1,1]]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7) [[4,3,3,3,3,1],[3,2,2,2,1]]=>[[4,3,2,2,2,1],[3,1,1,1,1]]=>([(2,4),(2,6),(5,3),(6,5)],7) [[4,3,3,3,2,1],[3,2,2,2]]=>[[4,4,2,2,2,1],[3,2,1,1,1]]=>([(1,6),(2,6),(3,4),(4,5)],7) [[5,4,4,4,3,1],[4,3,3,3,1]]=>[[5,4,2,2,2,1],[4,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7) [[4,3,3,2,2,1],[3,2,2,1]]=>[[4,4,3,2,2,1],[3,2,2,1,1]]=>([(1,6),(2,5),(3,4),(3,6)],7) [[5,4,4,3,3,1],[4,3,3,2,1]]=>[[5,4,3,2,2,1],[4,2,2,1,1]]=>([(2,6),(3,4),(3,5)],7) [[5,4,4,3,2,1],[4,3,3,2]]=>[[5,5,3,2,2,1],[4,3,2,1,1]]=>([(2,6),(3,6),(4,5)],7) [[6,5,5,4,3,1],[5,4,4,3,1]]=>[[6,5,3,2,2,1],[5,3,2,1,1]]=>([(3,6),(4,5)],7) [[4,3,2,2,2,1],[3,2,1,1]]=>[[4,4,3,3,2,1],[3,2,2,2,1]]=>([(2,6),(3,4),(3,6),(4,5)],7) [[5,4,3,3,3,1],[4,3,2,2,1]]=>[[5,4,3,3,2,1],[4,2,2,2,1]]=>([(3,4),(3,5),(5,6)],7) [[5,4,3,3,2,1],[4,3,2,2]]=>[[5,5,3,3,2,1],[4,3,2,2,1]]=>([(2,6),(3,6),(4,5)],7) [[6,5,4,4,3,1],[5,4,3,3,1]]=>[[6,5,3,3,2,1],[5,3,2,2,1]]=>([(3,6),(4,5)],7) [[5,4,3,2,2,1],[4,3,2,1]]=>[[5,5,4,3,2,1],[4,3,3,2,1]]=>([(3,6),(4,5),(4,6)],7) [[6,5,4,3,3,1],[5,4,3,2,1]]=>[[6,5,4,3,2,1],[5,3,3,2,1]]=>([(4,5),(4,6)],7) [[6,5,4,3,2,1],[5,4,3,2]]=>[[6,6,4,3,2,1],[5,4,3,2,1]]=>([(4,6),(5,6)],7) [[7,6,5,4,3,1],[6,5,4,3,1]]=>[[7,6,4,3,2,1],[6,4,3,2,1]]=>([(5,6)],7) [[2,2,2,2,2,2],[1,1,1,1,1]]=>[[2,1,1,1,1,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) [[3,3,3,3,3,2],[2,2,2,2,2]]=>[[3,1,1,1,1,1],[1]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[3,3,3,3,2,2],[2,2,2,2,1]]=>[[3,2,1,1,1,1],[1,1]]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7) [[4,4,4,4,3,2],[3,3,3,3,2]]=>[[4,2,1,1,1,1],[2,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,3,2,2,2],[2,2,2,1,1]]=>[[3,2,2,1,1,1],[1,1,1]]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) [[4,4,4,3,3,2],[3,3,3,2,2]]=>[[4,2,2,1,1,1],[2,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,4,3,2,2],[3,3,3,2,1]]=>[[4,3,2,1,1,1],[2,2,1]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,5,5,4,3,2],[4,4,4,3,2]]=>[[5,3,2,1,1,1],[3,2,1]]=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,2,2],[2,2,1,1,1]]=>[[3,2,2,2,1,1],[1,1,1,1]]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) [[4,4,3,3,3,2],[3,3,2,2,2]]=>[[4,2,2,2,1,1],[2,1,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,3,3,2,2],[3,3,2,2,1]]=>[[4,3,2,2,1,1],[2,2,1,1]]=>([(0,6),(1,5),(2,3),(2,4)],7) [[5,5,4,4,3,2],[4,4,3,3,2]]=>[[5,3,2,2,1,1],[3,2,1,1]]=>([(1,6),(2,5),(3,4)],7) [[4,4,3,2,2,2],[3,3,2,1,1]]=>[[4,3,3,2,1,1],[2,2,2,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,5,4,3,3,2],[4,4,3,2,2]]=>[[5,3,3,2,1,1],[3,2,2,1]]=>([(1,6),(2,5),(3,4)],7) [[5,5,4,3,2,2],[4,4,3,2,1]]=>[[5,4,3,2,1,1],[3,3,2,1]]=>([(2,6),(3,4),(3,5)],7) [[6,6,5,4,3,2],[5,5,4,3,2]]=>[[6,4,3,2,1,1],[4,3,2,1]]=>([(3,6),(4,5)],7) [[3,2,2,2,2,2],[2,1,1,1,1]]=>[[3,2,2,2,2,1],[1,1,1,1,1]]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) [[4,3,3,3,3,2],[3,2,2,2,2]]=>[[4,2,2,2,2,1],[2,1,1,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,3,3,3,2,2],[3,2,2,2,1]]=>[[4,3,2,2,2,1],[2,2,1,1,1]]=>([(1,6),(2,4),(2,5),(6,3)],7) [[5,4,4,4,3,2],[4,3,3,3,2]]=>[[5,3,2,2,2,1],[3,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7) [[4,3,3,2,2,2],[3,2,2,1,1]]=>[[4,3,3,2,2,1],[2,2,2,1,1]]=>([(1,5),(2,4),(2,6),(6,3)],7) [[5,4,4,3,3,2],[4,3,3,2,2]]=>[[5,3,3,2,2,1],[3,2,2,1,1]]=>([(1,6),(2,5),(3,4)],7) [[5,4,4,3,2,2],[4,3,3,2,1]]=>[[5,4,3,2,2,1],[3,3,2,1,1]]=>([(2,6),(3,4),(3,5)],7) [[6,5,5,4,3,2],[5,4,4,3,2]]=>[[6,4,3,2,2,1],[4,3,2,1,1]]=>([(3,6),(4,5)],7) [[4,3,2,2,2,2],[3,2,1,1,1]]=>[[4,3,3,3,2,1],[2,2,2,2,1]]=>([(2,4),(2,6),(5,3),(6,5)],7) [[5,4,3,3,3,2],[4,3,2,2,2]]=>[[5,3,3,3,2,1],[3,2,2,2,1]]=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,2,2],[4,3,2,2,1]]=>[[5,4,3,3,2,1],[3,3,2,2,1]]=>([(2,6),(3,4),(3,5)],7) [[6,5,4,4,3,2],[5,4,3,3,2]]=>[[6,4,3,3,2,1],[4,3,2,2,1]]=>([(3,6),(4,5)],7) [[5,4,3,2,2,2],[4,3,2,1,1]]=>[[5,4,4,3,2,1],[3,3,3,2,1]]=>([(3,4),(3,5),(5,6)],7) [[6,5,4,3,3,2],[5,4,3,2,2]]=>[[6,4,4,3,2,1],[4,3,3,2,1]]=>([(3,6),(4,5)],7) [[6,5,4,3,2,2],[5,4,3,2,1]]=>[[6,5,4,3,2,1],[4,4,3,2,1]]=>([(4,5),(4,6)],7) [[7,6,5,4,3,2],[6,5,4,3,2]]=>[[7,5,4,3,2,1],[5,4,3,2,1]]=>([(5,6)],7) [[1,1,1,1,1,1,1],[]]=>[[1,1,1,1,1,1,1],[]]=>([(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]]=>[[2,1,1,1,1,1,1],[1]]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) [[2,2,2,2,2,1,1],[1,1,1,1,1]]=>[[2,2,1,1,1,1,1],[1,1]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[3,3,3,3,3,2,1],[2,2,2,2,2,1]]=>[[3,2,1,1,1,1,1],[2,1]]=>([(2,6),(4,5),(5,3),(6,4)],7) [[2,2,2,2,1,1,1],[1,1,1,1]]=>[[2,2,2,1,1,1,1],[1,1,1]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[3,3,3,3,2,2,1],[2,2,2,2,1,1]]=>[[3,2,2,1,1,1,1],[2,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,3,3,2,1,1],[2,2,2,2,1]]=>[[3,3,2,1,1,1,1],[2,2,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,4,4,4,3,2,1],[3,3,3,3,2,1]]=>[[4,3,2,1,1,1,1],[3,2,1]]=>([(3,4),(4,6),(6,5)],7) [[2,2,2,1,1,1,1],[1,1,1]]=>[[2,2,2,2,1,1,1],[1,1,1,1]]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7) [[3,3,3,2,2,2,1],[2,2,2,1,1,1]]=>[[3,2,2,2,1,1,1],[2,1,1,1]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[3,3,3,2,2,1,1],[2,2,2,1,1]]=>[[3,3,2,2,1,1,1],[2,2,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,4,3,3,2,1],[3,3,3,2,2,1]]=>[[4,3,2,2,1,1,1],[3,2,1,1]]=>([(2,4),(3,5),(5,6)],7) [[3,3,3,2,1,1,1],[2,2,2,1]]=>[[3,3,3,2,1,1,1],[2,2,2,1]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,4,4,3,2,2,1],[3,3,3,2,1,1]]=>[[4,3,3,2,1,1,1],[3,2,2,1]]=>([(2,4),(3,5),(5,6)],7) [[4,4,4,3,2,1,1],[3,3,3,2,1]]=>[[4,4,3,2,1,1,1],[3,3,2,1]]=>([(2,4),(3,5),(5,6)],7) [[5,5,5,4,3,2,1],[4,4,4,3,2,1]]=>[[5,4,3,2,1,1,1],[4,3,2,1]]=>([(4,5),(5,6)],7) [[2,2,1,1,1,1,1],[1,1]]=>[[2,2,2,2,2,1,1],[1,1,1,1,1]]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7) [[3,3,2,2,2,2,1],[2,2,1,1,1,1]]=>[[3,2,2,2,2,1,1],[2,1,1,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[3,3,2,2,2,1,1],[2,2,1,1,1]]=>[[3,3,2,2,2,1,1],[2,2,1,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,3,3,3,2,1],[3,3,2,2,2,1]]=>[[4,3,2,2,2,1,1],[3,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7) [[3,3,2,2,1,1,1],[2,2,1,1]]=>[[3,3,3,2,2,1,1],[2,2,2,1,1]]=>([(0,5),(1,4),(2,6),(6,3)],7) [[4,4,3,3,2,2,1],[3,3,2,2,1,1]]=>[[4,3,3,2,2,1,1],[3,2,2,1,1]]=>([(1,6),(2,5),(3,4)],7) [[4,4,3,3,2,1,1],[3,3,2,2,1]]=>[[4,4,3,2,2,1,1],[3,3,2,1,1]]=>([(1,6),(2,5),(3,4)],7) [[5,5,4,4,3,2,1],[4,4,3,3,2,1]]=>[[5,4,3,2,2,1,1],[4,3,2,1,1]]=>([(3,6),(4,5)],7) [[3,3,2,1,1,1,1],[2,2,1]]=>[[3,3,3,3,2,1,1],[2,2,2,2,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,4,3,2,2,2,1],[3,3,2,1,1,1]]=>[[4,3,3,3,2,1,1],[3,2,2,2,1]]=>([(2,4),(3,5),(5,6)],7) [[4,4,3,2,2,1,1],[3,3,2,1,1]]=>[[4,4,3,3,2,1,1],[3,3,2,2,1]]=>([(1,6),(2,5),(3,4)],7) [[5,5,4,3,3,2,1],[4,4,3,2,2,1]]=>[[5,4,3,3,2,1,1],[4,3,2,2,1]]=>([(3,6),(4,5)],7) [[4,4,3,2,1,1,1],[3,3,2,1]]=>[[4,4,4,3,2,1,1],[3,3,3,2,1]]=>([(2,4),(3,5),(5,6)],7) [[5,5,4,3,2,2,1],[4,4,3,2,1,1]]=>[[5,4,4,3,2,1,1],[4,3,3,2,1]]=>([(3,6),(4,5)],7) [[5,5,4,3,2,1,1],[4,4,3,2,1]]=>[[5,5,4,3,2,1,1],[4,4,3,2,1]]=>([(3,6),(4,5)],7) [[6,6,5,4,3,2,1],[5,5,4,3,2,1]]=>[[6,5,4,3,2,1,1],[5,4,3,2,1]]=>([(5,6)],7) [[2,1,1,1,1,1,1],[1]]=>[[2,2,2,2,2,2,1],[1,1,1,1,1,1]]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) [[3,2,2,2,2,2,1],[2,1,1,1,1,1]]=>[[3,2,2,2,2,2,1],[2,1,1,1,1,1]]=>([(2,6),(4,5),(5,3),(6,4)],7) [[3,2,2,2,2,1,1],[2,1,1,1,1]]=>[[3,3,2,2,2,2,1],[2,2,1,1,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,3,3,3,3,2,1],[3,2,2,2,2,1]]=>[[4,3,2,2,2,2,1],[3,2,1,1,1,1]]=>([(3,4),(4,6),(6,5)],7) [[3,2,2,2,1,1,1],[2,1,1,1]]=>[[3,3,3,2,2,2,1],[2,2,2,1,1,1]]=>([(1,6),(2,5),(5,3),(6,4)],7) [[4,3,3,3,2,2,1],[3,2,2,2,1,1]]=>[[4,3,3,2,2,2,1],[3,2,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7) [[4,3,3,3,2,1,1],[3,2,2,2,1]]=>[[4,4,3,2,2,2,1],[3,3,2,1,1,1]]=>([(2,4),(3,5),(5,6)],7) [[5,4,4,4,3,2,1],[4,3,3,3,2,1]]=>[[5,4,3,2,2,2,1],[4,3,2,1,1,1]]=>([(4,5),(5,6)],7) [[3,2,2,1,1,1,1],[2,1,1]]=>[[3,3,3,3,2,2,1],[2,2,2,2,1,1]]=>([(1,6),(2,4),(5,3),(6,5)],7) [[4,3,3,2,2,2,1],[3,2,2,1,1,1]]=>[[4,3,3,3,2,2,1],[3,2,2,2,1,1]]=>([(2,4),(3,5),(5,6)],7) [[4,3,3,2,2,1,1],[3,2,2,1,1]]=>[[4,4,3,3,2,2,1],[3,3,2,2,1,1]]=>([(1,6),(2,5),(3,4)],7) [[5,4,4,3,3,2,1],[4,3,3,2,2,1]]=>[[5,4,3,3,2,2,1],[4,3,2,2,1,1]]=>([(3,6),(4,5)],7) [[4,3,3,2,1,1,1],[3,2,2,1]]=>[[4,4,4,3,2,2,1],[3,3,3,2,1,1]]=>([(2,4),(3,5),(5,6)],7) [[5,4,4,3,2,2,1],[4,3,3,2,1,1]]=>[[5,4,4,3,2,2,1],[4,3,3,2,1,1]]=>([(3,6),(4,5)],7) [[5,4,4,3,2,1,1],[4,3,3,2,1]]=>[[5,5,4,3,2,2,1],[4,4,3,2,1,1]]=>([(3,6),(4,5)],7) [[6,5,5,4,3,2,1],[5,4,4,3,2,1]]=>[[6,5,4,3,2,2,1],[5,4,3,2,1,1]]=>([(5,6)],7) [[3,2,1,1,1,1,1],[2,1]]=>[[3,3,3,3,3,2,1],[2,2,2,2,2,1]]=>([(2,6),(4,5),(5,3),(6,4)],7) [[4,3,2,2,2,2,1],[3,2,1,1,1,1]]=>[[4,3,3,3,3,2,1],[3,2,2,2,2,1]]=>([(3,4),(4,6),(6,5)],7) [[4,3,2,2,2,1,1],[3,2,1,1,1]]=>[[4,4,3,3,3,2,1],[3,3,2,2,2,1]]=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,3,2,1],[4,3,2,2,2,1]]=>[[5,4,3,3,3,2,1],[4,3,2,2,2,1]]=>([(4,5),(5,6)],7) [[4,3,2,2,1,1,1],[3,2,1,1]]=>[[4,4,4,3,3,2,1],[3,3,3,2,2,1]]=>([(2,4),(3,5),(5,6)],7) [[5,4,3,3,2,2,1],[4,3,2,2,1,1]]=>[[5,4,4,3,3,2,1],[4,3,3,2,2,1]]=>([(3,6),(4,5)],7) [[5,4,3,3,2,1,1],[4,3,2,2,1]]=>[[5,5,4,3,3,2,1],[4,4,3,2,2,1]]=>([(3,6),(4,5)],7) [[6,5,4,4,3,2,1],[5,4,3,3,2,1]]=>[[6,5,4,3,3,2,1],[5,4,3,2,2,1]]=>([(5,6)],7) [[4,3,2,1,1,1,1],[3,2,1]]=>[[4,4,4,4,3,2,1],[3,3,3,3,2,1]]=>([(3,4),(4,6),(6,5)],7) [[5,4,3,2,2,2,1],[4,3,2,1,1,1]]=>[[5,4,4,4,3,2,1],[4,3,3,3,2,1]]=>([(4,5),(5,6)],7) [[5,4,3,2,2,1,1],[4,3,2,1,1]]=>[[5,5,4,4,3,2,1],[4,4,3,3,2,1]]=>([(3,6),(4,5)],7) [[6,5,4,3,3,2,1],[5,4,3,2,2,1]]=>[[6,5,4,4,3,2,1],[5,4,3,3,2,1]]=>([(5,6)],7) [[5,4,3,2,1,1,1],[4,3,2,1]]=>[[5,5,5,4,3,2,1],[4,4,4,3,2,1]]=>([(4,5),(5,6)],7) [[6,5,4,3,2,2,1],[5,4,3,2,1,1]]=>[[6,5,5,4,3,2,1],[5,4,4,3,2,1]]=>([(5,6)],7) [[6,5,4,3,2,1,1],[5,4,3,2,1]]=>[[6,6,5,4,3,2,1],[5,5,4,3,2,1]]=>([(5,6)],7) [[7,6,5,4,3,2,1],[6,5,4,3,2,1]]=>[[7,6,5,4,3,2,1],[6,5,4,3,2,1]]=>([],7) [[8],[]]=>[[8],[]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [[7,1],[]]=>[[7,7],[6]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8) [[6,2],[]]=>[[6,6],[4]]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8) [[6,1,1],[]]=>[[6,6,6],[5,5]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8) [[5,3],[]]=>[[5,5],[2]]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8) [[5,2,1],[]]=>[[5,5,5],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8) [[5,1,1,1],[]]=>[[5,5,5,5],[4,4,4]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8) [[4,4],[]]=>[[4,4],[]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [[4,3,1],[]]=>[[4,4,4],[3,1]]=>([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8) [[4,2,2],[]]=>[[4,4,4],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7),(6,7)],8) [[4,2,1,1],[]]=>[[4,4,4,4],[3,3,2]]=>([(0,6),(0,7),(1,4),(2,3),(3,6),(4,7),(6,5),(7,5)],8) [[4,1,1,1,1],[]]=>[[4,4,4,4,4],[3,3,3,3]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8) [[3,3,2],[]]=>[[3,3,3],[1]]=>([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) [[3,3,1,1],[]]=>[[3,3,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7),(6,7)],8) [[3,2,2,1],[]]=>[[3,3,3,3],[2,1,1]]=>([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8) [[3,2,1,1,1],[]]=>[[3,3,3,3,3],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8) [[3,1,1,1,1,1],[]]=>[[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) [[2,2,2,2],[]]=>[[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) [[2,2,2,1,1],[]]=>[[2,2,2,2,2],[1,1]]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8) [[2,2,1,1,1,1],[]]=>[[2,2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8) [[2,1,1,1,1,1,1],[]]=>[[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) [[1,1,1,1,1,1,1,1],[]]=>[[1,1,1,1,1,1,1,1],[]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [[9],[]]=>[[9],[]]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) [[8,1],[]]=>[[8,8],[7]]=>([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9) [[7,2],[]]=>[[7,7],[5]]=>([(0,6),(1,3),(1,8),(2,8),(3,7),(4,5),(5,2),(6,4),(8,7)],9) [[7,1,1],[]]=>[[7,7,7],[6,6]]=>([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9) [[6,3],[]]=>[[6,6],[3]]=>([(0,5),(0,8),(1,4),(2,7),(3,8),(4,3),(5,2),(5,6),(6,7),(8,6)],9) [[6,2,1],[]]=>[[6,6,6],[5,4]]=>([(0,3),(1,6),(2,6),(2,8),(3,5),(4,8),(5,4),(6,7),(8,7)],9) [[6,1,1,1],[]]=>[[6,6,6,6],[5,5,5]]=>([(0,7),(1,6),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9) [[5,4],[]]=>[[5,5],[1]]=>([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9) [[5,3,1],[]]=>[[5,5,5],[4,2]]=>([(0,3),(1,7),(2,4),(2,8),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9) [[5,2,2],[]]=>[[5,5,5],[3,3]]=>([(0,5),(1,3),(1,4),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8)],9) [[5,2,1,1],[]]=>[[5,5,5,5],[4,4,3]]=>([(0,6),(0,8),(1,3),(2,4),(3,8),(4,5),(5,6),(6,7),(8,7)],9) [[5,1,1,1,1],[]]=>[[5,5,5,5,5],[4,4,4,4]]=>([(0,7),(1,6),(2,8),(3,8),(4,2),(5,3),(6,4),(7,5)],9) [[4,4,1],[]]=>[[4,4,4],[3]]=>([(0,2),(0,3),(1,7),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9) [[4,3,2],[]]=>[[4,4,4],[2,1]]=>([(0,7),(1,3),(1,8),(2,7),(2,8),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [[4,3,1,1],[]]=>[[4,4,4,4],[3,3,1]]=>([(0,3),(1,8),(2,4),(2,8),(3,7),(4,6),(4,7),(6,5),(7,5),(8,6)],9) [[4,2,2,1],[]]=>[[4,4,4,4],[3,2,2]]=>([(0,3),(1,8),(2,4),(2,8),(3,7),(4,6),(4,7),(6,5),(7,5),(8,6)],9) [[4,2,1,1,1],[]]=>[[4,4,4,4,4],[3,3,3,2]]=>([(0,6),(0,8),(1,3),(2,4),(3,8),(4,5),(5,6),(6,7),(8,7)],9) [[4,1,1,1,1,1],[]]=>[[4,4,4,4,4,4],[3,3,3,3,3]]=>([(0,7),(1,6),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9) [[3,3,3],[]]=>[[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) [[3,3,2,1],[]]=>[[3,3,3,3],[2,1]]=>([(0,7),(1,3),(1,8),(2,7),(2,8),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [[3,3,1,1,1],[]]=>[[3,3,3,3,3],[2,2,2]]=>([(0,5),(1,3),(1,4),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8)],9) [[3,2,2,2],[]]=>[[3,3,3,3],[1,1,1]]=>([(0,2),(0,3),(1,7),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9) [[3,2,2,1,1],[]]=>[[3,3,3,3,3],[2,2,1,1]]=>([(0,3),(1,7),(2,4),(2,8),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9) [[3,2,1,1,1,1],[]]=>[[3,3,3,3,3,3],[2,2,2,2,1]]=>([(0,3),(1,6),(2,6),(2,8),(3,5),(4,8),(5,4),(6,7),(8,7)],9) [[3,1,1,1,1,1,1],[]]=>[[3,3,3,3,3,3,3],[2,2,2,2,2,2]]=>([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9) [[2,2,2,2,1],[]]=>[[2,2,2,2,2],[1]]=>([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9) [[2,2,2,1,1,1],[]]=>[[2,2,2,2,2,2],[1,1,1]]=>([(0,5),(0,8),(1,4),(2,7),(3,8),(4,3),(5,2),(5,6),(6,7),(8,6)],9) [[2,2,1,1,1,1,1],[]]=>[[2,2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,3),(1,8),(2,8),(3,7),(4,5),(5,2),(6,4),(8,7)],9) [[2,1,1,1,1,1,1,1],[]]=>[[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]]=>([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9) [[1,1,1,1,1,1,1,1,1],[]]=>[[1,1,1,1,1,1,1,1,1],[]]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) [[10],[]]=>[[10],[]]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) [[9,1],[]]=>[[9,9],[8]]=>([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10) [[8,2],[]]=>[[8,8],[6]]=>([(0,7),(1,3),(1,9),(2,9),(3,8),(4,6),(5,4),(6,2),(7,5),(9,8)],10) [[8,1,1],[]]=>[[8,8,8],[7,7]]=>([(0,8),(1,3),(2,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10) [[7,3],[]]=>[[7,7],[4]]=>([(0,5),(1,6),(1,9),(2,8),(3,9),(4,3),(5,4),(6,2),(6,7),(7,8),(9,7)],10) [[7,2,1],[]]=>[[7,7,7],[6,5]]=>([(0,9),(1,8),(1,9),(2,6),(3,8),(4,5),(5,3),(6,4),(8,7),(9,7)],10) [[7,1,1,1],[]]=>[[7,7,7,7],[6,6,6]]=>([(0,8),(1,7),(2,9),(3,9),(4,6),(5,4),(6,3),(7,5),(8,2)],10) [[6,4],[]]=>[[6,6],[2]]=>([(0,5),(0,9),(1,3),(2,7),(3,9),(4,2),(4,8),(5,4),(5,6),(6,8),(8,7),(9,6)],10) [[6,3,1],[]]=>[[6,6,6],[5,3]]=>([(0,3),(1,8),(2,5),(2,9),(3,4),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10) [[6,2,2],[]]=>[[6,6,6],[4,4]]=>([(0,6),(1,3),(1,4),(2,7),(3,8),(4,7),(4,8),(5,2),(6,5),(7,9),(8,9)],10) [[6,2,1,1],[]]=>[[6,6,6,6],[5,5,4]]=>([(0,7),(0,8),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,9),(8,9)],10) [[6,1,1,1,1],[]]=>[[6,6,6,6,6],[5,5,5,5]]=>([(0,7),(1,8),(2,9),(3,9),(4,5),(5,2),(6,3),(7,6),(8,4)],10) [[5,5],[]]=>[[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) [[5,4,1],[]]=>[[5,5,5],[4,1]]=>([(0,9),(1,8),(2,3),(2,9),(3,4),(3,7),(4,6),(4,8),(6,5),(7,6),(8,5),(9,7)],10) [[5,3,2],[]]=>[[5,5,5],[3,2]]=>([(0,4),(1,3),(1,9),(2,7),(2,9),(3,8),(4,7),(6,5),(7,6),(8,5),(9,6),(9,8)],10) [[5,3,1,1],[]]=>[[5,5,5,5],[4,4,2]]=>([(0,3),(1,4),(2,5),(2,9),(3,8),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10) [[5,2,2,1],[]]=>[[5,5,5,5],[4,3,3]]=>([(0,3),(1,9),(2,5),(2,9),(3,4),(4,8),(5,7),(5,8),(7,6),(8,6),(9,7)],10) [[5,2,1,1,1],[]]=>[[5,5,5,5,5],[4,4,4,3]]=>([(0,7),(0,8),(1,6),(2,5),(3,7),(4,8),(5,3),(6,4),(7,9),(8,9)],10) [[5,1,1,1,1,1],[]]=>[[5,5,5,5,5,5],[4,4,4,4,4]]=>([(0,7),(1,8),(2,9),(3,9),(4,5),(5,2),(6,3),(7,6),(8,4)],10) [[4,4,2],[]]=>[[4,4,4],[2]]=>([(0,3),(0,4),(1,2),(1,9),(2,8),(3,7),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10) [[4,4,1,1],[]]=>[[4,4,4,4],[3,3]]=>([(0,4),(1,3),(1,5),(2,6),(2,8),(3,7),(4,6),(5,2),(5,7),(6,9),(7,8),(8,9)],10) [[4,3,3],[]]=>[[4,4,4],[1,1]]=>([(0,3),(0,4),(1,7),(2,8),(3,2),(3,9),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10) [[4,3,2,1],[]]=>[[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) [[4,3,1,1,1],[]]=>[[4,4,4,4,4],[3,3,3,1]]=>([(0,3),(1,9),(2,5),(2,9),(3,4),(4,8),(5,7),(5,8),(7,6),(8,6),(9,7)],10) [[4,2,2,2],[]]=>[[4,4,4,4],[2,2,2]]=>([(0,4),(1,3),(1,5),(2,6),(2,8),(3,7),(4,6),(5,2),(5,7),(6,9),(7,8),(8,9)],10) [[4,2,2,1,1],[]]=>[[4,4,4,4,4],[3,3,2,2]]=>([(0,3),(1,4),(2,5),(2,9),(3,8),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10) [[4,2,1,1,1,1],[]]=>[[4,4,4,4,4,4],[3,3,3,3,2]]=>([(0,7),(0,8),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,9),(8,9)],10) [[4,1,1,1,1,1,1],[]]=>[[4,4,4,4,4,4,4],[3,3,3,3,3,3]]=>([(0,8),(1,7),(2,9),(3,9),(4,6),(5,4),(6,3),(7,5),(8,2)],10) [[3,3,3,1],[]]=>[[3,3,3,3],[2]]=>([(0,3),(0,4),(1,7),(2,8),(3,2),(3,9),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10) [[3,3,2,2],[]]=>[[3,3,3,3],[1,1]]=>([(0,3),(0,4),(1,2),(1,9),(2,8),(3,7),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10) [[3,3,2,1,1],[]]=>[[3,3,3,3,3],[2,2,1]]=>([(0,4),(1,3),(1,9),(2,7),(2,9),(3,8),(4,7),(6,5),(7,6),(8,5),(9,6),(9,8)],10) [[3,3,1,1,1,1],[]]=>[[3,3,3,3,3,3],[2,2,2,2]]=>([(0,6),(1,3),(1,4),(2,7),(3,8),(4,7),(4,8),(5,2),(6,5),(7,9),(8,9)],10) [[3,2,2,2,1],[]]=>[[3,3,3,3,3],[2,1,1,1]]=>([(0,9),(1,8),(2,3),(2,9),(3,4),(3,7),(4,6),(4,8),(6,5),(7,6),(8,5),(9,7)],10) [[3,2,2,1,1,1],[]]=>[[3,3,3,3,3,3],[2,2,2,1,1]]=>([(0,3),(1,8),(2,5),(2,9),(3,4),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10) [[3,2,1,1,1,1,1],[]]=>[[3,3,3,3,3,3,3],[2,2,2,2,2,1]]=>([(0,9),(1,8),(1,9),(2,6),(3,8),(4,5),(5,3),(6,4),(8,7),(9,7)],10) [[3,1,1,1,1,1,1,1],[]]=>[[3,3,3,3,3,3,3,3],[2,2,2,2,2,2,2]]=>([(0,8),(1,3),(2,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10) [[2,2,2,2,2],[]]=>[[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) [[2,2,2,2,1,1],[]]=>[[2,2,2,2,2,2],[1,1]]=>([(0,5),(0,9),(1,3),(2,7),(3,9),(4,2),(4,8),(5,4),(5,6),(6,8),(8,7),(9,6)],10) [[2,2,2,1,1,1,1],[]]=>[[2,2,2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,6),(1,9),(2,8),(3,9),(4,3),(5,4),(6,2),(6,7),(7,8),(9,7)],10) [[2,2,1,1,1,1,1,1],[]]=>[[2,2,2,2,2,2,2,2],[1,1,1,1,1,1]]=>([(0,7),(1,3),(1,9),(2,9),(3,8),(4,6),(5,4),(6,2),(7,5),(9,8)],10) [[2,1,1,1,1,1,1,1,1],[]]=>[[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]]=>([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10) [[1,1,1,1,1,1,1,1,1,1],[]]=>[[1,1,1,1,1,1,1,1,1,1],[]]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) [[4,4,3],[]]=>[[4,4,4],[1]]=>([(0,3),(0,10),(1,4),(1,10),(2,7),(3,8),(4,2),(4,9),(6,5),(7,5),(8,6),(9,6),(9,7),(10,8),(10,9)],11) [[3,3,3,2],[]]=>[[3,3,3,3],[1]]=>([(0,3),(0,10),(1,4),(1,10),(2,7),(3,8),(4,2),(4,9),(6,5),(7,5),(8,6),(9,6),(9,7),(10,8),(10,9)],11) [[4,4,4],[]]=>[[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) [[3,3,3,3],[]]=>[[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) [[3,3,3],[1]]=>[[3,3,2],[]]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8) [[3,3,3,1],[1,1]]=>[[3,3,2,2],[2]]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8) [[4,4,1],[1]]=>[[4,4,3],[3]]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8) [[3,3,2,1],[1]]=>[[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) [[2,2,2,2,1],[1]]=>[[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) [[3,3,3,1],[2]]=>[[3,3,3,1],[2]]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8) [[3,3,3,1],[1]]=>[[3,3,3,2],[2]]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,8),(4,7),(4,8),(7,5),(8,5),(8,6)],9) [[3,3,3,2],[1,1,1]]=>[[3,2,2,2],[1]]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) [[4,4,2],[1,1]]=>[[4,3,3],[2]]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8) [[4,4,4],[2,2]]=>[[4,2,2],[]]=>([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) [[5,5],[2]]=>[[5,3],[]]=>([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) [[4,4,3],[2,1]]=>[[4,3,2],[1]]=>([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8) [[3,3,3,3],[2,1,1]]=>[[3,2,2,1],[]]=>([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) [[4,3,3],[1,1]]=>[[4,3,3],[1,1]]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8) [[3,3,3,3],[1,1,1]]=>[[3,2,2,2],[]]=>([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) [[4,4,3],[1,1]]=>[[4,3,3],[1]]=>([(0,3),(0,8),(1,4),(1,8),(3,6),(4,2),(4,7),(6,5),(7,5),(8,6),(8,7)],9) [[4,4,4],[3,1]]=>[[4,3,1],[]]=>([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) [[5,4],[1]]=>[[5,4],[1]]=>([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8) [[4,4,4],[2,1]]=>[[4,3,2],[]]=>([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) [[5,5],[1]]=>[[5,4],[]]=>([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9) [[4,4,4],[1,1]]=>[[4,3,3],[]]=>([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10) [[3,3,2,2],[1,1]]=>[[3,3,2,2],[1,1]]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8) [[4,4,2],[2]]=>[[4,4,2],[2]]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8) [[3,3,3,2],[2,1]]=>[[3,3,2,1],[1]]=>([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8) [[4,3,2],[1]]=>[[4,4,3],[2,1]]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8) [[3,3,3,2],[1,1]]=>[[3,3,2,2],[1]]=>([(0,3),(0,8),(1,4),(1,8),(2,5),(3,6),(4,2),(4,7),(7,5),(8,6),(8,7)],9) [[4,4,2],[1]]=>[[4,4,3],[2]]=>([(0,3),(0,4),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(7,5),(8,5),(8,6)],9) [[2,2,2,2,2],[1,1]]=>[[2,2,2,1,1],[]]=>([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) [[3,2,2,2],[1]]=>[[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) [[3,3,2,2],[2]]=>[[3,3,3,1],[1,1]]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8) [[3,3,2,2],[1]]=>[[3,3,3,2],[1,1]]=>([(0,3),(0,4),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(7,5),(8,5),(8,6)],9) [[2,2,2,2,2],[1]]=>[[2,2,2,2,1],[]]=>([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9) [[3,3,3,2],[2]]=>[[3,3,3,1],[1]]=>([(0,3),(0,8),(1,4),(1,8),(3,6),(4,2),(4,7),(6,5),(7,5),(8,6),(8,7)],9) [[3,3,3,2],[1]]=>[[3,3,3,2],[1]]=>([(0,3),(0,9),(1,4),(1,9),(2,5),(3,2),(3,8),(4,7),(7,6),(8,5),(8,6),(9,7),(9,8)],10) [[3,3,3,3],[2,2]]=>[[3,3,1,1],[]]=>([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) [[4,3,3],[2]]=>[[4,4,2],[1,1]]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8) [[4,4,3],[3]]=>[[4,4,1],[1]]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) [[4,4,3],[2]]=>[[4,4,2],[1]]=>([(0,3),(0,8),(1,4),(1,8),(2,5),(3,6),(4,2),(4,7),(7,5),(8,6),(8,7)],9) [[3,3,3,3],[2,1]]=>[[3,3,2,1],[]]=>([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) [[4,3,3],[1]]=>[[4,4,3],[1,1]]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,8),(4,7),(4,8),(7,5),(8,5),(8,6)],9) [[3,3,3,3],[1,1]]=>[[3,3,2,2],[]]=>([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10) [[4,4,3],[1]]=>[[4,4,3],[1]]=>([(0,3),(0,9),(1,4),(1,9),(2,5),(3,2),(3,8),(4,7),(7,6),(8,5),(8,6),(9,7),(9,8)],10) [[4,4,4],[3]]=>[[4,4,1],[]]=>([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) [[4,4,4],[2]]=>[[4,4,2],[]]=>([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10) [[4,4,4],[1]]=>[[4,4,3],[]]=>([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(8,10),(9,7),(9,10)],11) [[3,3,3,3],[2]]=>[[3,3,3,1],[]]=>([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10) [[3,3,3,3],[1]]=>[[3,3,3,2],[]]=>([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(8,10),(9,7),(9,10)],11)
Map
rotate
Description
The rotation of a skew partition.
This is the skew partition obtained by rotating the diagram by 180 degrees. Equivalently, given a skew partition $\lambda/\mu$, its rotation $(\lambda/\mu)^\natural$ is the skew partition with cells $\{(a-i, b-j)| (i, j) \in \lambda/\mu\}$, where $b$ and $a$ are the first part and the number of parts of $\lambda$ respectively.
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.