=>

[[1],[]]=>([],1)=>([],0)=>([],0) [[2],[]]=>([],1)=>([],0)=>([],0) [[1,1],[]]=>([],1)=>([],0)=>([],0) [[2,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3],[]]=>([],1)=>([],0)=>([],0) [[2,1],[]]=>([],1)=>([],0)=>([],0) [[3,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2],[1]]=>([],1)=>([],0)=>([],0) [[3,2],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,1],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,2,1],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4],[]]=>([],1)=>([],0)=>([],0) [[3,1],[]]=>([],1)=>([],0)=>([],0) [[4,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2],[]]=>([],1)=>([],0)=>([],0) [[3,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,2],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[2,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,2,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3],[2]]=>([],1)=>([],0)=>([],0) [[4,3],[3]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,1],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,2,1],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,1],[3,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,2,2],[1,1]]=>([],1)=>([],0)=>([],0) [[3,3,2],[2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[3,2,2],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,2],[3,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,1],[1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2,1,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,2,1],[2,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,2,2,1],[2,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,2,1,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,2,1],[3,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5],[]]=>([],1)=>([],0)=>([],0) [[4,1],[]]=>([],1)=>([],0)=>([],0) [[5,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,2],[]]=>([],1)=>([],0)=>([],0) [[4,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,2],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,2,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,2,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3],[1]]=>([],1)=>([],0)=>([],0) [[4,3],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[5,3],[3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[2,2,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,1],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,2,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,2,1],[2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,1],[3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,2,2],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,2],[2,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,2,2],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,2],[3,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[2,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,2,1],[1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,2,1,1],[1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,2,1],[2,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,2,2,1],[2,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,2,1,1],[2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,3,2,1],[3,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[4,4],[3]]=>([],1)=>([],0)=>([],0) [[5,4],[4]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,1],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,1],[3,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,1],[3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,1],[4,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,2,2],[1]]=>([],1)=>([],0)=>([],0) [[3,3,2],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,2],[3,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,2,2],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,2],[3,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,4,2],[4,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[2,2,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,2,1],[2,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,1,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,2,1],[3,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,2,1,1],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,2,1],[3,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,1,1],[3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,2,1],[4,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[3,3,3],[2,2]]=>([],1)=>([],0)=>([],0) [[4,4,3],[3,3]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,3],[3,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,3],[4,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,2,2,1],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,1],[2,2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,2,1],[2,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,3,1],[3,3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,2,2,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,3,1],[3,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,2,1],[3,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,3,1],[4,3,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[2,2,2,2],[1,1,1]]=>([],1)=>([],0)=>([],0) [[3,3,3,2],[2,2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,2,2],[2,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,3,2],[3,3,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,2,2,2],[2,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3,2],[3,2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,2,2],[3,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,3,2],[4,3,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,2,1],[1,1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2,2,1,1],[1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,2,1],[2,2,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,2,1,1,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,2,2,1],[2,2,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,3,2,1,1],[2,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,3,2,1],[3,3,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[2,1,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,2,2,2,1],[2,1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,2,2,1,1],[2,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,3,2,1],[3,2,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[3,2,1,1,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,2,2,1],[3,2,1,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[4,3,2,1,1],[3,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,4,3,2,1],[4,3,2,1]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[6],[]]=>([],1)=>([],0)=>([],0) [[5,1],[]]=>([],1)=>([],0)=>([],0) [[6,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,2],[]]=>([],1)=>([],0)=>([],0) [[5,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[6,2],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,1,1],[]]=>([],1)=>([],0)=>([],0) [[5,2,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[6,2,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3],[]]=>([],1)=>([],0)=>([],0) [[4,3],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,3],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,3],[3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,2,1],[]]=>([],1)=>([],0)=>([],0) [[4,3,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,2,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,3,1],[2,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[5,2,1],[2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,3,1],[3,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[4,2,2],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,3,2],[2,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[5,2,2],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,3,2],[3,2]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[3,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,2,2,1],[1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,2,1,1],[1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,2,1],[2,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,2,2,1],[2,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,2,1,1],[2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[6,3,2,1],[3,2,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,4],[2]]=>([],1)=>([],0)=>([],0) [[5,4],[3]]=>([(0,1)],2)=>([],1)=>([],1) [[6,4],[4]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,1],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,1],[2]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[5,4,1],[3,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[5,3,1],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,4,1],[4,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[2,2,2],[]]=>([],1)=>([],0)=>([],0) [[3,3,2],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,2],[2,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,2,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,2],[2,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[5,4,2],[3,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,2,2],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,3,2],[3,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[6,4,2],[4,2]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[2,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,2,1],[1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,1,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,2,1],[2,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,2,1,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,2,1],[2,1,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[4,3,1,1],[2,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[5,4,2,1],[3,2,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[4,2,1,1],[2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,2,1],[3,1,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[5,3,1,1],[3,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[6,4,2,1],[4,2,1]]=>([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) [[4,3,3],[2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[5,4,3],[3,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,3],[3,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,4,3],[4,3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[3,2,2,1],[1,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[4,3,3,1],[2,2,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[4,3,2,1],[2,2]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[5,4,3,1],[3,3,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[4,2,2,1],[2,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[5,3,3,1],[3,2,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[5,3,2,1],[3,2]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[6,4,3,1],[4,3,1]]=>([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) [[3,2,2,2],[1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,3,2],[2,2,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,2,2],[2,2,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[5,4,3,2],[3,3,2]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[4,2,2,2],[2,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,3,2],[3,2,2]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[5,3,2,2],[3,2,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[6,4,3,2],[4,3,2]]=>([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) [[2,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,2,2,1],[1,1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,2,2,1,1],[1,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,3,3,2,1],[2,2,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[3,2,1,1,1],[1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,2,2,1],[2,2,1,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,3,2,1,1],[2,2,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,4,3,2,1],[3,3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,1,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,2,2,2,1],[2,1,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,2,2,1,1],[2,1,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[5,3,3,2,1],[3,2,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,2,1,1,1],[2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,3,2,2,1],[3,2,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,3,2,1,1],[3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,5],[4]]=>([],1)=>([],0)=>([],0) [[6,5],[5]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,1],[3]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,1],[4,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,1],[4]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,5,1],[5,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,2],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,2],[3,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[5,5,2],[4,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[4,3,2],[3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,2],[4,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,5,2],[5,2]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[3,3,1,1],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,2,1],[3,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,4,1,1],[3,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,2,1],[4,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,3,1,1],[3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,2,1],[4,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[5,4,1,1],[4,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[6,5,2,1],[5,2,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[3,3,3],[2,1]]=>([],1)=>([],0)=>([],0) [[4,4,3],[3,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,5,3],[4,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,3],[3,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,3],[4,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,5,3],[5,3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[2,2,2,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,1],[2,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,2,1],[2,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[4,4,3,1],[3,2,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[4,4,2,1],[3,2]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[5,5,3,1],[4,3,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[3,2,2,1],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3,1],[3,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,2,1],[3,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[5,4,3,1],[4,2,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[5,4,2,1],[4,2]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[6,5,3,1],[5,3,1]]=>([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) [[3,3,2,2],[2,1,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[4,4,3,2],[3,2,2]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[4,4,2,2],[3,2,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[5,5,3,2],[4,3,2]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[4,3,2,2],[3,1,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[5,4,3,2],[4,2,2]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[5,4,2,2],[4,2,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[6,5,3,2],[5,3,2]]=>([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) [[2,2,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,2,2,1],[2,1,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[3,3,2,1,1],[2,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,4,3,2,1],[3,2,2,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[3,3,1,1,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,2,2,1],[3,2,1,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,4,2,1,1],[3,2,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,5,3,2,1],[4,3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,2,1,1,1],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,2,2,1],[3,1,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,3,2,1,1],[3,1,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,4,3,2,1],[4,2,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,3,1,1,1],[3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,2,2,1],[4,2,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,4,2,1,1],[4,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,4,4],[3,3]]=>([],1)=>([],0)=>([],0) [[5,5,4],[4,4]]=>([(0,1)],2)=>([],1)=>([],1) [[5,4,4],[4,3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,5,4],[5,4]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,3,1],[2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,4,1],[3,3,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,3,1],[3,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,4,1],[4,4,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,3,1],[3,2]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[5,4,4,1],[4,3,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[5,4,3,1],[4,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[6,5,4,1],[5,4,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[2,2,2,2],[1,1]]=>([],1)=>([],0)=>([],0) [[3,3,3,2],[2,2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,4,2],[3,3,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,2,2],[2,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,3,2],[3,3,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[5,5,4,2],[4,4,2]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[3,2,2,2],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3,2],[3,2,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[5,4,4,2],[4,3,2]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[4,3,2,2],[3,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,3,2],[4,3,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[6,5,4,2],[5,4,2]]=>([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) [[2,2,2,1,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,2,1],[2,2,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[3,3,3,1,1],[2,2,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,4,4,2,1],[3,3,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[3,3,2,1,1],[2,2]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,4,3,2,1],[3,3,1,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,4,3,1,1],[3,3,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[5,5,4,2,1],[4,4,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,2,2,1,1],[2,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,3,3,2,1],[3,2,1,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,3,3,1,1],[3,2,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,4,4,2,1],[4,3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,3,2,1,1],[3,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[5,4,3,2,1],[4,3,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,4,3,1,1],[4,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,3,3,3],[2,2,2]]=>([],1)=>([],0)=>([],0) [[4,4,4,3],[3,3,3]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,3,3],[3,3,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,4,3],[4,4,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,3,3],[3,2,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,4,3],[4,3,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,3,3],[4,3,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[6,5,4,3],[5,4,3]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[2,2,2,2,1],[1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,3,1],[2,2,2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,2,1],[2,2,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,4,3,1],[3,3,3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,3,2,2,1],[2,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,4,3,3,1],[3,3,2,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,4,3,2,1],[3,3,2]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,5,4,3,1],[4,4,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,2,2,2,1],[2,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,3,3,3,1],[3,2,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,3,3,2,1],[3,2,2]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,4,4,3,1],[4,3,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,3,2,2,1],[3,2,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,4,3,3,1],[4,3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,4,3,2,1],[4,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[2,2,2,2,2],[1,1,1,1]]=>([],1)=>([],0)=>([],0) [[3,3,3,3,2],[2,2,2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,2,2],[2,2,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,4,3,2],[3,3,3,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,3,2,2,2],[2,2,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,4,3,3,2],[3,3,2,2]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,4,3,2,2],[3,3,2,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,5,4,3,2],[4,4,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,2,2,2,2],[2,1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3,3,2],[3,2,2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,3,2,2],[3,2,2,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[5,4,4,3,2],[4,3,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,3,2,2,2],[3,2,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[5,4,3,3,2],[4,3,2,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,4,3,2,2],[4,3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,2,2,1],[1,1,1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2,2,2,1,1],[1,1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,3,2,1],[2,2,2,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,2,2,1,1,1],[1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,3,2,2,1],[2,2,2,1,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[3,3,3,2,1,1],[2,2,2,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[4,4,4,3,2,1],[3,3,3,2,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[2,2,1,1,1,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,2,2,2,1],[2,2,1,1,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[3,3,2,2,1,1],[2,2,1,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[4,4,3,3,2,1],[3,3,2,2,1]]=>([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) [[3,3,2,1,1,1],[2,2,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[4,4,3,2,2,1],[3,3,2,1,1]]=>([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) [[4,4,3,2,1,1],[3,3,2,1]]=>([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) [[2,1,1,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,2,2,2,2,1],[2,1,1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,2,2,2,1,1],[2,1,1,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[4,3,3,3,2,1],[3,2,2,2,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[3,2,2,1,1,1],[2,1,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[4,3,3,2,2,1],[3,2,2,1,1]]=>([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) [[4,3,3,2,1,1],[3,2,2,1]]=>([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) [[3,2,1,1,1,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,2,2,2,1],[3,2,1,1,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[4,3,2,2,1,1],[3,2,1,1]]=>([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) [[4,3,2,1,1,1],[3,2,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[7],[]]=>([],1)=>([],0)=>([],0) [[6,1],[]]=>([],1)=>([],0)=>([],0) [[7,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,2],[]]=>([],1)=>([],0)=>([],0) [[6,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[7,2],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,1,1],[]]=>([],1)=>([],0)=>([],0) [[6,2,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[7,2,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3],[]]=>([],1)=>([],0)=>([],0) [[5,3],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[6,3],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[7,3],[3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,2,1],[]]=>([],1)=>([],0)=>([],0) [[5,3,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,2,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,3,1],[2,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,2,1],[2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[7,3,1],[3,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[5,2,2],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[6,3,2],[2,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,2,2],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[7,3,2],[3,2]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[4,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[5,2,2,1],[1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,2,1,1],[1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,3,2,1],[2,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[5,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[6,2,2,1],[2,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[6,2,1,1],[2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[7,3,2,1],[3,2,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,4],[1]]=>([],1)=>([],0)=>([],0) [[5,4],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[6,4],[3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[7,4],[4]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,1],[]]=>([],1)=>([],0)=>([],0) [[4,4,1],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,1],[2]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[6,4,1],[3,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[6,3,1],[3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[7,4,1],[4,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[3,2,2],[]]=>([],1)=>([],0)=>([],0) [[4,3,2],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,2],[2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,2,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,3,2],[2,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[6,4,2],[3,2]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[5,2,2],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,3,2],[3,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[7,4,2],[4,2]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [[3,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,3,2,1],[1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,1,1],[1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,4,2,1],[2,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[4,2,1,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,3,2,1],[2,1,1]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[5,3,1,1],[2,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[6,4,2,1],[3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,2,1,1],[2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,3,2,1],[3,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[6,3,1,1],[3,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[5,3,3],[2,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,4,3],[3,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[6,3,3],[3,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[7,4,3],[4,3]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,2,2,1],[1,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[5,3,3,1],[2,2,1]]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[5,3,2,1],[2,2]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,4,3,1],[3,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,2,2,1],[2,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[6,3,3,1],[3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[6,3,2,1],[3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,2,2,2],[1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,3,3,2],[2,2,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[5,3,2,2],[2,2,1]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,4,3,2],[3,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,2,2,2],[2,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,3,3,2],[3,2,2]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[6,3,2,2],[3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,2,2,2,1],[1,1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,2,2,1,1],[1,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[5,3,3,2,1],[2,2,2,1]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[4,2,1,1,1],[1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,2,2,1],[2,2,1,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,3,2,1,1],[2,2,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[4,1,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[5,2,2,2,1],[2,1,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,2,2,1,1],[2,1,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[5,2,1,1,1],[2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,5],[3]]=>([],1)=>([],0)=>([],0) [[6,5],[4]]=>([(0,1)],2)=>([],1)=>([],1) [[7,5],[5]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,1],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,1],[3,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,1],[3]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[6,5,1],[4,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,4,1],[4]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[7,5,1],[5,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[3,3,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,2],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,2],[3,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,2],[2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,4,2],[3,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[6,5,2],[4,2]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[5,3,2],[3]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[6,4,2],[4,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[7,5,2],[5,2]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [[3,3,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,2,1],[2,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,1,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,2,1],[3,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[4,3,1,1],[2]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[5,4,2,1],[3,1,1]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[5,4,1,1],[3,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[6,5,2,1],[4,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,3,1,1],[3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,4,2,1],[4,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[6,4,1,1],[4,1]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[3,3,3],[1,1]]=>([],1)=>([],0)=>([],0) [[4,4,3],[2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,3],[3,3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,3],[3,2]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[6,5,3],[4,3]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[5,3,3],[3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[6,4,3],[4,2]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[7,5,3],[5,3]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [[2,2,2,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,3,1],[1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,2,1],[1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,3,1],[2,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,2,1],[2,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,5,3,1],[3,3,1]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[3,2,2,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3,1],[2,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,2,1],[2,1]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[5,4,3,1],[3,2,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,4,2,1],[3,2]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[4,2,2,1],[2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,3,1],[3,1,1]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[5,3,2,1],[3,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[3,3,2,2],[1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,3,2],[2,2,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,2,2],[2,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,5,3,2],[3,3,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[4,3,2,2],[2,1,1]]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[5,4,3,2],[3,2,2]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,4,2,2],[3,2,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,3,2,2],[3,1,1]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[2,2,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,2,2,1],[1,1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,2,1,1],[1,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,3,2,1],[2,2,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[3,3,1,1,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,2,2,1],[2,2,1,1]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[4,4,2,1,1],[2,2,1]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[5,5,3,2,1],[3,3,2,1]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [[3,2,1,1,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,2,2,1],[2,1,1,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[4,3,2,1,1],[2,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,3,1,1,1],[2,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[4,2,1,1,1],[2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,2,2,1],[3,1,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[5,3,1,1,1],[3,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[5,4,4],[3,3]]=>([(0,1)],2)=>([],1)=>([],1) [[6,5,4],[4,4]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,4,4],[4,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[7,5,4],[5,4]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[4,3,3,1],[2,2]]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(1,2)],3)=>([(1,2)],3) [[5,4,4,1],[3,3,1]]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[5,4,3,1],[3,3]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,5,4,1],[4,4,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,3,3,1],[3,2]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,4,4,1],[4,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[6,4,3,1],[4,3]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,2,2,2],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,3,2],[2,2,1]]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[5,4,4,2],[3,3,2]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[4,3,2,2],[2,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,4,3,2],[3,3,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[4,2,2,2],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,3,2],[3,2,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,3,2,2],[3,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[3,2,2,1,1],[1,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[4,3,3,2,1],[2,2,1,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[4,3,3,1,1],[2,2,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,4,4,2,1],[3,3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,3,2,1,1],[2,2]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[4,2,2,1,1],[2,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[5,3,2,1,1],[3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,3,3,3],[2,2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[5,4,4,3],[3,3,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,4,3,3],[3,3,2]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,5,4,3],[4,4,3]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,3,3,3],[3,2,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[6,4,4,3],[4,3,3]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[6,4,3,3],[4,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,2,2,2,1],[1,1,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[4,3,3,3,1],[2,2,2,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[4,3,3,2,1],[2,2,2]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,4,4,3,1],[3,3,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,3,2,2,1],[2,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,2,2,2,1],[2,1,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[5,3,3,3,1],[3,2,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[3,2,2,2,2],[1,1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,3,3,2],[2,2,2,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,3,2,2],[2,2,2,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,4,4,3,2],[3,3,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,3,2,2,2],[2,2,1,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[4,2,2,2,2],[2,1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,3,3,3,2],[3,2,2,2]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[5,3,2,2,2],[3,2,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[2,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,2,2,2,1],[1,1,1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,2,2,2,1,1],[1,1,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,3,3,3,2,1],[2,2,2,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[3,2,2,1,1,1],[1,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,3,3,2,2,1],[2,2,2,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,3,2,1,1],[2,2,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,2,1,1,1,1],[1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,2,2,2,1],[2,2,1,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,2,1,1,1],[2,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,1,1,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,2,2,2,2,1],[2,1,1,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,2,2,2,1,1],[2,1,1,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,2,2,1,1,1],[2,1,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,2,1,1,1,1],[2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[6,6],[5]]=>([],1)=>([],0)=>([],0) [[7,6],[6]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,1],[4]]=>([(0,1)],2)=>([],1)=>([],1) [[6,6,1],[5,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,5,1],[5]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[7,6,1],[6,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,2],[3]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,2],[4,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[6,6,2],[5,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[5,4,2],[4]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,5,2],[5,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[7,6,2],[6,2]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[4,4,1,1],[3]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,2,1],[4,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[5,5,1,1],[4,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,6,2,1],[5,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[5,4,1,1],[4]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,5,2,1],[5,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[6,5,1,1],[5,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[7,6,2,1],[6,2,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[3,3,3],[2]]=>([],1)=>([],0)=>([],0) [[4,4,3],[3,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,5,3],[4,2]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[6,6,3],[5,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,3,3],[3]]=>([(0,1)],2)=>([],1)=>([],1) [[5,4,3],[4,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,5,3],[5,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[7,6,3],[6,3]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[3,3,2,1],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,3,1],[3,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,2,1],[3,1]]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[5,5,3,1],[4,2,1]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[5,5,2,1],[4,2]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,6,3,1],[5,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,3,2,1],[3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,4,3,1],[4,1,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,4,2,1],[4,1]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,5,3,1],[5,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[6,5,2,1],[5,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,4,2,2],[3,1,1]]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(1,2)],3)=>([(1,2)],3) [[5,5,3,2],[4,2,2]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[5,5,2,2],[4,2,1]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,6,3,2],[5,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,4,2,2],[4,1,1]]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[6,5,3,2],[5,2,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[6,5,2,2],[5,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,3,1,1,1],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,2,2,1],[3,1,1,1]]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[4,4,2,1,1],[3,1,1]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[5,5,3,2,1],[4,2,2,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[4,4,1,1,1],[3,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,2,2,1],[4,2,1,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,5,2,1,1],[4,2,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[4,3,1,1,1],[3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,2,2,1],[4,1,1,1]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[5,4,2,1,1],[4,1,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,4,1,1,1],[4,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,4],[3,2]]=>([],1)=>([],0)=>([],0) [[5,5,4],[4,3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,6,4],[5,4]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,4,4],[4,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,5,4],[5,3]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[7,6,4],[6,4]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[3,3,3,1],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,4,1],[3,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,3,1],[3,2]]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[5,5,4,1],[4,3,1]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[5,5,3,1],[4,3]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,6,4,1],[5,4,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[4,3,3,1],[3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,4,1],[4,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,4,3,1],[4,2]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,5,4,1],[5,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[6,5,3,1],[5,3]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[2,2,2,2],[1]]=>([],1)=>([],0)=>([],0) [[3,3,3,2],[2,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,4,2],[3,2,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,2,2],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,3,2],[3,2,1]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[5,5,4,2],[4,3,2]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[4,4,2,2],[3,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,5,3,2],[4,3,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[3,2,2,2],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,3,3,2],[3,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,4,2],[4,2,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[4,3,2,2],[3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,3,2],[4,2,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,4,2,2],[4,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[2,2,2,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,2,1],[2,1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,3,1,1],[2,1,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,4,2,1],[3,2,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[3,3,2,1,1],[2,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[4,4,3,2,1],[3,2,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,4,3,1,1],[3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,4,2,1,1],[3,2]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[3,2,2,1,1],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3,2,1],[3,1,1,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[4,3,3,1,1],[3,1,1]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[5,4,4,2,1],[4,2,2,1]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [[4,3,2,1,1],[3,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,4,2,1,1],[4,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,4,3,3],[3,2,2]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[5,5,4,3],[4,3,3]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[5,5,3,3],[4,3,2]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,6,4,3],[5,4,3]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,4,3,3],[4,2,2]]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[6,5,4,3],[5,3,3]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[6,5,3,3],[5,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,3,2,2,1],[2,1,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[4,4,3,3,1],[3,2,2,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[4,4,3,2,1],[3,2,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,4,2,2,1],[3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,3,2,2,1],[3,1,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,4,3,3,1],[4,2,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[3,3,2,2,2],[2,1,1,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[4,4,3,3,2],[3,2,2,2]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[4,4,3,2,2],[3,2,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,4,2,2,2],[3,2,1,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[4,3,2,2,2],[3,1,1,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[5,4,3,3,2],[4,2,2,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[5,4,2,2,2],[4,2,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[2,2,1,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,2,2,2,1],[2,1,1,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[3,3,2,2,1,1],[2,1,1,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,4,3,3,2,1],[3,2,2,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,3,2,1,1,1],[2,1,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[3,3,1,1,1,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,2,2,2,1],[3,2,1,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,4,2,1,1,1],[3,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,2,1,1,1,1],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,2,2,2,1],[3,1,1,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,3,2,2,1,1],[3,1,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,2,1,1,1],[3,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,1,1,1,1],[3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,5,5],[4,4]]=>([],1)=>([],0)=>([],0) [[6,6,5],[5,5]]=>([(0,1)],2)=>([],1)=>([],1) [[6,5,5],[5,4]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[7,6,5],[6,5]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,4,1],[3,3]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,5,1],[4,4,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,5,4,1],[4,4]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,6,5,1],[5,5,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,4,1],[4,3]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[6,5,5,1],[5,4,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[6,5,4,1],[5,4]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[7,6,5,1],[6,5,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[3,3,3,2],[2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,4,2],[3,3,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[5,5,5,2],[4,4,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[4,4,3,2],[3,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,4,2],[4,4,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[6,6,5,2],[5,5,2]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[4,3,3,2],[3,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,4,2],[4,3,1]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,5,5,2],[5,4,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,4,3,2],[4,3]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[6,5,4,2],[5,4,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[3,3,3,1,1],[2,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,4,2,1],[3,3,1,1]]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[4,4,4,1,1],[3,3,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[5,5,5,2,1],[4,4,2,1]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[4,4,3,1,1],[3,3]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[5,5,4,2,1],[4,4,1,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,5,4,1,1],[4,4,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,3,3,1,1],[3,2]]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[5,4,4,2,1],[4,3,1,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,4,4,1,1],[4,3,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,4,3,1,1],[4,3]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[3,3,3,3],[2,2,1]]=>([],1)=>([],0)=>([],0) [[4,4,4,3],[3,3,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,5,5,3],[4,4,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,3,3],[3,3,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,4,3],[4,4,2]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[6,6,5,3],[5,5,3]]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [[4,3,3,3],[3,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,4,4,3],[4,3,2]]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [[6,5,5,3],[5,4,3]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[5,4,3,3],[4,3,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[6,5,4,3],[5,4,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [[2,2,2,2,1],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,3,1],[2,2,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,2,1],[2,2,1]]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [[4,4,4,3,1],[3,3,2,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[4,4,4,2,1],[3,3,2]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,5,5,3,1],[4,4,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[3,3,2,2,1],[2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,3,3,1],[3,3,1,1]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[4,4,3,2,1],[3,3,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[3,2,2,2,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,3,3,1],[3,2,1,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[4,3,3,2,1],[3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,3,2,2,1],[3,2]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,4,3,3,1],[4,3,1,1]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [[3,3,3,2,2],[2,2,1,1]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[4,4,4,3,2],[3,3,2,2]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [[4,4,4,2,2],[3,3,2,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,5,5,3,2],[4,4,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,4,3,2,2],[3,3,1,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[4,3,3,2,2],[3,2,1,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,4,3,2,2],[4,3,1,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[2,2,2,1,1,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,2,2,1],[2,2,1,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[3,3,3,2,1,1],[2,2,1,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,4,4,3,2,1],[3,3,2,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,3,3,1,1,1],[2,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,4,4,2,2,1],[3,3,2,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,4,4,2,1,1],[3,3,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,3,2,1,1,1],[2,2]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,4,3,2,2,1],[3,3,1,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,4,3,1,1,1],[3,3,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[3,2,2,1,1,1],[2,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,3,3,2,2,1],[3,2,1,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,3,1,1,1],[3,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,2,1,1,1],[3,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,4,4,4],[3,3,3]]=>([],1)=>([],0)=>([],0) [[5,5,5,4],[4,4,4]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,4,4],[4,4,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[6,6,5,4],[5,5,4]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,4,4],[4,3,3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,5,5,4],[5,4,4]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[6,5,4,4],[5,4,3]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[7,6,5,4],[6,5,4]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[3,3,3,3,1],[2,2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,4,4,1],[3,3,3,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,4,3,1],[3,3,3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,5,4,1],[4,4,4,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,3,3,1],[3,3,2]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[5,5,4,4,1],[4,4,3,1]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,5,4,3,1],[4,4,3]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[4,3,3,3,1],[3,2,2]]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[5,4,4,4,1],[4,3,3,1]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[5,4,4,3,1],[4,3,3]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,4,3,3,1],[4,3,2]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[2,2,2,2,2],[1,1,1]]=>([],1)=>([],0)=>([],0) [[3,3,3,3,2],[2,2,2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,4,4,2],[3,3,3,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,3,2,2],[2,2,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,4,3,2],[3,3,3,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[5,5,5,4,2],[4,4,4,2]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[3,3,2,2,2],[2,2,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,3,3,2],[3,3,2,1]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,4,3,2,2],[3,3,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[3,2,2,2,2],[2,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3,3,2],[3,2,2,1]]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [[5,4,4,4,2],[4,3,3,2]]=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [[4,3,3,2,2],[3,2,2]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [[4,3,2,2,2],[3,2,1]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5) [[5,4,3,2,2],[4,3,2]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [[2,2,2,2,1,1],[1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,3,2,1],[2,2,2,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[3,3,3,3,1,1],[2,2,2,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,4,4,4,2,1],[3,3,3,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[3,3,3,2,1,1],[2,2,2]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,4,4,3,2,1],[3,3,3,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,4,4,3,1,1],[3,3,3,1]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[3,3,2,2,1,1],[2,2,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,4,3,2,1,1],[3,3,2]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,2,2,2,1,1],[2,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,3,3,3,2,1],[3,2,2,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,3,3,1,1],[3,2,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,3,2,1,1],[3,2,2]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,2,2,1,1],[3,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,3,3,3,3],[2,2,2,2]]=>([],1)=>([],0)=>([],0) [[4,4,4,4,3],[3,3,3,3]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,4,3,3],[3,3,3,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[5,5,5,4,3],[4,4,4,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,4,3,3,3],[3,3,2,2]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[5,5,4,4,3],[4,4,3,3]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[5,5,4,3,3],[4,4,3,2]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[4,3,3,3,3],[3,2,2,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,4,4,3],[4,3,3,3]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[5,4,4,3,3],[4,3,3,2]]=>([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [[5,4,3,3,3],[4,3,2,2]]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [[2,2,2,2,2,1],[1,1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,3,3,1],[2,2,2,2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,3,2,1],[2,2,2,2]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,4,4,3,1],[3,3,3,3,1]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,3,3,2,2,1],[2,2,2,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,4,4,3,3,1],[3,3,3,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,4,4,3,2,1],[3,3,3,2]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,3,2,2,2,1],[2,2,1,1]]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [[4,4,3,3,3,1],[3,3,2,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,2,2,2,2,1],[2,1,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,3,3,3,3,1],[3,2,2,2,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,3,3,3,2,1],[3,2,2,2]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,2,2,2,1],[3,2,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[2,2,2,2,2,2],[1,1,1,1,1]]=>([],1)=>([],0)=>([],0) [[3,3,3,3,3,2],[2,2,2,2,2]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,3,2,2],[2,2,2,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,4,4,4,3,2],[3,3,3,3,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[3,3,3,2,2,2],[2,2,2,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[4,4,4,3,3,2],[3,3,3,2,2]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,4,4,3,2,2],[3,3,3,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,3,2,2,2,2],[2,2,1,1,1]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[4,4,3,3,3,2],[3,3,2,2,2]]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [[4,4,3,2,2,2],[3,3,2,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[3,2,2,2,2,2],[2,1,1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,3,3,3,2],[3,2,2,2,2]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [[4,3,3,3,2,2],[3,2,2,2,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,3,2,2,2],[3,2,2,1,1]]=>([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [[4,3,2,2,2,2],[3,2,1,1,1]]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [[1,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,2,2,2,1],[1,1,1,1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2,2,2,2,1,1],[1,1,1,1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,3,3,2,1],[2,2,2,2,2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[2,2,2,2,1,1,1],[1,1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,3,3,2,2,1],[2,2,2,2,1,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[3,3,3,3,2,1,1],[2,2,2,2,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[4,4,4,4,3,2,1],[3,3,3,3,2,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[2,2,2,1,1,1,1],[1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,3,2,2,2,1],[2,2,2,1,1,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[3,3,3,2,2,1,1],[2,2,2,1,1]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [[3,3,3,2,1,1,1],[2,2,2,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[2,2,1,1,1,1,1],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,2,2,2,2,1],[2,2,1,1,1,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[3,3,2,2,2,1,1],[2,2,1,1,1]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [[3,3,2,2,1,1,1],[2,2,1,1]]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [[3,3,2,1,1,1,1],[2,2,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[2,1,1,1,1,1,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,2,2,2,2,2,1],[2,1,1,1,1,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,2,2,2,2,1,1],[2,1,1,1,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[4,3,3,3,3,2,1],[3,2,2,2,2,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[3,2,2,2,1,1,1],[2,1,1,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[3,2,2,1,1,1,1],[2,1,1]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[3,2,1,1,1,1,1],[2,1]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[4,3,2,2,2,2,1],[3,2,1,1,1,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[4,3,2,1,1,1,1],[3,2,1]]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [[8],[]]=>([],1)=>([],0)=>([],0) [[7,1],[]]=>([],1)=>([],0)=>([],0) [[6,2],[]]=>([],1)=>([],0)=>([],0) [[6,1,1],[]]=>([],1)=>([],0)=>([],0) [[5,3],[]]=>([],1)=>([],0)=>([],0) [[5,2,1],[]]=>([],1)=>([],0)=>([],0) [[5,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,4],[]]=>([],1)=>([],0)=>([],0) [[4,3,1],[]]=>([],1)=>([],0)=>([],0) [[4,2,2],[]]=>([],1)=>([],0)=>([],0) [[4,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,2],[]]=>([],1)=>([],0)=>([],0) [[3,3,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,2,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,2],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[1,1,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[9],[]]=>([],1)=>([],0)=>([],0) [[8,1],[]]=>([],1)=>([],0)=>([],0) [[7,2],[]]=>([],1)=>([],0)=>([],0) [[7,1,1],[]]=>([],1)=>([],0)=>([],0) [[6,3],[]]=>([],1)=>([],0)=>([],0) [[6,2,1],[]]=>([],1)=>([],0)=>([],0) [[6,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[5,4],[]]=>([],1)=>([],0)=>([],0) [[5,3,1],[]]=>([],1)=>([],0)=>([],0) [[5,2,2],[]]=>([],1)=>([],0)=>([],0) [[5,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[5,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,4,1],[]]=>([],1)=>([],0)=>([],0) [[4,3,2],[]]=>([],1)=>([],0)=>([],0) [[4,3,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,2,2,1],[]]=>([],1)=>([],0)=>([],0) [[4,2,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,3],[]]=>([],1)=>([],0)=>([],0) [[3,3,2,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,2,2],[]]=>([],1)=>([],0)=>([],0) [[3,2,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,2,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,1,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[1,1,1,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[10],[]]=>([],1)=>([],0)=>([],0) [[9,1],[]]=>([],1)=>([],0)=>([],0) [[8,2],[]]=>([],1)=>([],0)=>([],0) [[8,1,1],[]]=>([],1)=>([],0)=>([],0) [[7,3],[]]=>([],1)=>([],0)=>([],0) [[7,2,1],[]]=>([],1)=>([],0)=>([],0) [[7,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[6,4],[]]=>([],1)=>([],0)=>([],0) [[6,3,1],[]]=>([],1)=>([],0)=>([],0) [[6,2,2],[]]=>([],1)=>([],0)=>([],0) [[6,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[6,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[5,5],[]]=>([],1)=>([],0)=>([],0) [[5,4,1],[]]=>([],1)=>([],0)=>([],0) [[5,3,2],[]]=>([],1)=>([],0)=>([],0) [[5,3,1,1],[]]=>([],1)=>([],0)=>([],0) [[5,2,2,1],[]]=>([],1)=>([],0)=>([],0) [[5,2,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[5,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,4,2],[]]=>([],1)=>([],0)=>([],0) [[4,4,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,3,3],[]]=>([],1)=>([],0)=>([],0) [[4,3,2,1],[]]=>([],1)=>([],0)=>([],0) [[4,3,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,2,2,2],[]]=>([],1)=>([],0)=>([],0) [[4,2,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,2,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,3,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,2,2],[]]=>([],1)=>([],0)=>([],0) [[3,3,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,3,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,2,2,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,2,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,2,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[3,1,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,2,2],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,2,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,2,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,2,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[2,1,1,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[1,1,1,1,1,1,1,1,1,1],[]]=>([],1)=>([],0)=>([],0) [[4,4,3],[]]=>([],1)=>([],0)=>([],0) [[3,3,3,2],[]]=>([],1)=>([],0)=>([],0) [[4,4,4],[]]=>([],1)=>([],0)=>([],0) [[3,3,3,3],[]]=>([],1)=>([],0)=>([],0) [[4,4,4,2,1],[3,3,1]]=>([(0,5),(1,7),(2,6),(3,6),(4,3),(4,7),(5,1),(5,4),(7,2)],8)=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5) [[4,4,3,3,1],[3,2,2]]=>([(0,5),(1,7),(2,6),(3,6),(4,3),(4,7),(5,1),(5,4),(7,2)],8)=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5) [[4,4,4,3,1],[3,3,2]]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>([(0,4),(3,2),(4,1),(4,3)],5)=>([(0,4),(1,2),(2,4),(4,3)],5) [[5,5,3,1],[4,2]]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4),(7,8)],9)=>([(0,4),(1,2),(1,4),(4,3)],5)=>([(0,4),(1,2),(2,3),(2,4)],5) [[4,4,4,4,1],[3,3,3]]=>([(0,1)],2)=>([],1)=>([],1) [[5,4,4,1],[3,3]]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(1,2)],3)=>([(1,2)],3) [[5,5,4,1],[4,3]]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [[6,4,1],[3]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(1,2)],3)=>([(1,2)],3) [[4,4,4,2,2],[3,3,1,1]]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(1,3)],4) [[5,4,2,2],[3,1,1]]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8)=>([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,2),(0,4),(3,1),(4,3)],5) [[4,4,4,3,2],[3,3,2,1]]=>([(0,6),(1,8),(2,7),(4,7),(5,2),(5,8),(6,1),(6,5),(7,3),(8,4)],9)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [[4,4,4,4,2],[3,3,3,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[5,4,4,2],[3,3,1]]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8)=>([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,2),(0,4),(3,1),(4,3)],5) [[6,4,2],[3,1]]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,4),(3,2),(4,1),(4,3)],5) [[5,5,5,2],[4,4,1]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[6,5,2],[4,1]]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [[4,4,3,3,3],[3,2,2,2]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[4,4,4,3,3],[3,3,2,2]]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [[5,4,3,3],[3,2,2]]=>([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8)=>([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,2),(0,4),(3,1),(4,3)],5) [[5,5,3,3],[4,2,2]]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>([(1,2),(2,3)],4)=>([(1,2),(2,3)],4) [[4,4,4,4,3],[3,3,3,2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,4,4,3],[3,3,2]]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,4),(3,2),(4,1),(4,3)],5) [[5,5,4,3],[4,3,2]]=>([(0,6),(1,8),(3,7),(4,5),(5,1),(5,7),(6,3),(6,4),(7,8),(8,2)],9)=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [[6,4,3],[3,2]]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,4),(3,2),(4,1),(4,3)],5) [[5,5,5,3],[4,4,2]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[6,5,3],[4,2]]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,4),(3,2),(4,1),(4,3)],5) [[6,6,3],[5,2]]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(1,2)],3)=>([(1,2)],3) [[4,4,4,4,4],[3,3,3,3]]=>([],1)=>([],0)=>([],0) [[5,4,4,4],[3,3,3]]=>([(0,1)],2)=>([],1)=>([],1) [[5,5,4,4],[4,3,3]]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],2)=>([],2) [[6,4,4],[3,3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[5,5,5,4],[4,4,3]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[6,5,4],[4,3]]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [[6,6,4],[5,3]]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [[7,4],[3]]=>([(0,3),(2,1),(3,2)],4)=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [[3,3,3],[1]]=>([],1)=>([],0)=>([],0) [[3,3,3,1],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,2,1],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[2,2,2,2,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,1],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,1],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,2],[1,1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,2],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,4],[2,2]]=>([],1)=>([],0)=>([],0) [[5,5],[2]]=>([],1)=>([],0)=>([],0) [[4,4,3],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,3],[2,1,1]]=>([],1)=>([],0)=>([],0) [[4,3,3],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,3],[1,1,1]]=>([],1)=>([],0)=>([],0) [[4,4,3],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,4],[3,1]]=>([],1)=>([],0)=>([],0) [[5,4],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,4],[2,1]]=>([],1)=>([],0)=>([],0) [[5,5],[1]]=>([],1)=>([],0)=>([],0) [[4,4,4],[1,1]]=>([],1)=>([],0)=>([],0) [[3,3,2,2],[1,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,4,2],[2]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,2],[2,1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[4,3,2],[1]]=>([(0,2),(2,1)],3)=>([(0,1)],2)=>([(0,1)],2) [[3,3,3,2],[1,1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2,2,2,2],[1,1]]=>([],1)=>([],0)=>([],0) [[3,2,2,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,2,2],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,2,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[2,2,2,2,2],[1]]=>([],1)=>([],0)=>([],0) [[3,3,3,2],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,2],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,3],[2,2]]=>([],1)=>([],0)=>([],0) [[4,3,3],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,3],[3]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,3],[2]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,3],[2,1]]=>([],1)=>([],0)=>([],0) [[4,3,3],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[3,3,3,3],[1,1]]=>([],1)=>([],0)=>([],0) [[4,4,3],[1]]=>([(0,1)],2)=>([],1)=>([],1) [[4,4,4],[3]]=>([],1)=>([],0)=>([],0) [[4,4,4],[2]]=>([],1)=>([],0)=>([],0) [[4,4,4],[1]]=>([],1)=>([],0)=>([],0) [[3,3,3,3],[2]]=>([],1)=>([],0)=>([],0) [[3,3,3,3],[1]]=>([],1)=>([],0)=>([],0)