edit this map or download as text // json
Identifier
Images
=>
[]=>[] [1]=>[1] [1,1]=>[2] [2]=>[1,1] [1,1,1]=>[3] [1,2]=>[2,1] [2,1]=>[1,2] [3]=>[1,1,1] [1,1,1,1]=>[4] [1,1,2]=>[3,1] [1,2,1]=>[2,2] [1,3]=>[2,1,1] [2,1,1]=>[1,3] [2,2]=>[1,2,1] [3,1]=>[1,1,2] [4]=>[1,1,1,1] [1,1,1,1,1]=>[5] [1,1,1,2]=>[4,1] [1,1,2,1]=>[3,2] [1,1,3]=>[3,1,1] [1,2,1,1]=>[2,3] [1,2,2]=>[2,2,1] [1,3,1]=>[2,1,2] [1,4]=>[2,1,1,1] [2,1,1,1]=>[1,4] [2,1,2]=>[1,3,1] [2,2,1]=>[1,2,2] [2,3]=>[1,2,1,1] [3,1,1]=>[1,1,3] [3,2]=>[1,1,2,1] [4,1]=>[1,1,1,2] [5]=>[1,1,1,1,1] [1,1,1,1,1,1]=>[6] [1,1,1,1,2]=>[5,1] [1,1,1,2,1]=>[4,2] [1,1,1,3]=>[4,1,1] [1,1,2,1,1]=>[3,3] [1,1,2,2]=>[3,2,1] [1,1,3,1]=>[3,1,2] [1,1,4]=>[3,1,1,1] [1,2,1,1,1]=>[2,4] [1,2,1,2]=>[2,3,1] [1,2,2,1]=>[2,2,2] [1,2,3]=>[2,2,1,1] [1,3,1,1]=>[2,1,3] [1,3,2]=>[2,1,2,1] [1,4,1]=>[2,1,1,2] [1,5]=>[2,1,1,1,1] [2,1,1,1,1]=>[1,5] [2,1,1,2]=>[1,4,1] [2,1,2,1]=>[1,3,2] [2,1,3]=>[1,3,1,1] [2,2,1,1]=>[1,2,3] [2,2,2]=>[1,2,2,1] [2,3,1]=>[1,2,1,2] [2,4]=>[1,2,1,1,1] [3,1,1,1]=>[1,1,4] [3,1,2]=>[1,1,3,1] [3,2,1]=>[1,1,2,2] [3,3]=>[1,1,2,1,1] [4,1,1]=>[1,1,1,3] [4,2]=>[1,1,1,2,1] [5,1]=>[1,1,1,1,2] [6]=>[1,1,1,1,1,1] [1,1,1,1,1,1,1]=>[7] [1,1,1,1,1,2]=>[6,1] [1,1,1,1,2,1]=>[5,2] [1,1,1,1,3]=>[5,1,1] [1,1,1,2,1,1]=>[4,3] [1,1,1,2,2]=>[4,2,1] [1,1,1,3,1]=>[4,1,2] [1,1,1,4]=>[4,1,1,1] [1,1,2,1,1,1]=>[3,4] [1,1,2,1,2]=>[3,3,1] [1,1,2,2,1]=>[3,2,2] [1,1,2,3]=>[3,2,1,1] [1,1,3,1,1]=>[3,1,3] [1,1,3,2]=>[3,1,2,1] [1,1,4,1]=>[3,1,1,2] [1,1,5]=>[3,1,1,1,1] [1,2,1,1,1,1]=>[2,5] [1,2,1,1,2]=>[2,4,1] [1,2,1,2,1]=>[2,3,2] [1,2,1,3]=>[2,3,1,1] [1,2,2,1,1]=>[2,2,3] [1,2,2,2]=>[2,2,2,1] [1,2,3,1]=>[2,2,1,2] [1,2,4]=>[2,2,1,1,1] [1,3,1,1,1]=>[2,1,4] [1,3,1,2]=>[2,1,3,1] [1,3,2,1]=>[2,1,2,2] [1,3,3]=>[2,1,2,1,1] [1,4,1,1]=>[2,1,1,3] [1,4,2]=>[2,1,1,2,1] [1,5,1]=>[2,1,1,1,2] [1,6]=>[2,1,1,1,1,1] [2,1,1,1,1,1]=>[1,6] [2,1,1,1,2]=>[1,5,1] [2,1,1,2,1]=>[1,4,2] [2,1,1,3]=>[1,4,1,1] [2,1,2,1,1]=>[1,3,3] [2,1,2,2]=>[1,3,2,1] [2,1,3,1]=>[1,3,1,2] [2,1,4]=>[1,3,1,1,1] [2,2,1,1,1]=>[1,2,4] [2,2,1,2]=>[1,2,3,1] [2,2,2,1]=>[1,2,2,2] [2,2,3]=>[1,2,2,1,1] [2,3,1,1]=>[1,2,1,3] [2,3,2]=>[1,2,1,2,1] [2,4,1]=>[1,2,1,1,2] [2,5]=>[1,2,1,1,1,1] [3,1,1,1,1]=>[1,1,5] [3,1,1,2]=>[1,1,4,1] [3,1,2,1]=>[1,1,3,2] [3,1,3]=>[1,1,3,1,1] [3,2,1,1]=>[1,1,2,3] [3,2,2]=>[1,1,2,2,1] [3,3,1]=>[1,1,2,1,2] [3,4]=>[1,1,2,1,1,1] [4,1,1,1]=>[1,1,1,4] [4,1,2]=>[1,1,1,3,1] [4,2,1]=>[1,1,1,2,2] [4,3]=>[1,1,1,2,1,1] [5,1,1]=>[1,1,1,1,3] [5,2]=>[1,1,1,1,2,1] [6,1]=>[1,1,1,1,1,2] [7]=>[1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1]=>[8] [1,1,1,1,1,1,2]=>[7,1] [1,1,1,1,1,2,1]=>[6,2] [1,1,1,1,1,3]=>[6,1,1] [1,1,1,1,2,1,1]=>[5,3] [1,1,1,1,2,2]=>[5,2,1] [1,1,1,1,3,1]=>[5,1,2] [1,1,1,1,4]=>[5,1,1,1] [1,1,1,2,1,1,1]=>[4,4] [1,1,1,2,1,2]=>[4,3,1] [1,1,1,2,2,1]=>[4,2,2] [1,1,1,2,3]=>[4,2,1,1] [1,1,1,3,1,1]=>[4,1,3] [1,1,1,3,2]=>[4,1,2,1] [1,1,1,4,1]=>[4,1,1,2] [1,1,1,5]=>[4,1,1,1,1] [1,1,2,1,1,1,1]=>[3,5] [1,1,2,1,1,2]=>[3,4,1] [1,1,2,1,2,1]=>[3,3,2] [1,1,2,1,3]=>[3,3,1,1] [1,1,2,2,1,1]=>[3,2,3] [1,1,2,2,2]=>[3,2,2,1] [1,1,2,3,1]=>[3,2,1,2] [1,1,2,4]=>[3,2,1,1,1] [1,1,3,1,1,1]=>[3,1,4] [1,1,3,1,2]=>[3,1,3,1] [1,1,3,2,1]=>[3,1,2,2] [1,1,3,3]=>[3,1,2,1,1] [1,1,4,1,1]=>[3,1,1,3] [1,1,4,2]=>[3,1,1,2,1] [1,1,5,1]=>[3,1,1,1,2] [1,1,6]=>[3,1,1,1,1,1] [1,2,1,1,1,1,1]=>[2,6] [1,2,1,1,1,2]=>[2,5,1] [1,2,1,1,2,1]=>[2,4,2] [1,2,1,1,3]=>[2,4,1,1] [1,2,1,2,1,1]=>[2,3,3] [1,2,1,2,2]=>[2,3,2,1] [1,2,1,3,1]=>[2,3,1,2] [1,2,1,4]=>[2,3,1,1,1] [1,2,2,1,1,1]=>[2,2,4] [1,2,2,1,2]=>[2,2,3,1] [1,2,2,2,1]=>[2,2,2,2] [1,2,2,3]=>[2,2,2,1,1] [1,2,3,1,1]=>[2,2,1,3] [1,2,3,2]=>[2,2,1,2,1] [1,2,4,1]=>[2,2,1,1,2] [1,2,5]=>[2,2,1,1,1,1] [1,3,1,1,1,1]=>[2,1,5] [1,3,1,1,2]=>[2,1,4,1] [1,3,1,2,1]=>[2,1,3,2] [1,3,1,3]=>[2,1,3,1,1] [1,3,2,1,1]=>[2,1,2,3] [1,3,2,2]=>[2,1,2,2,1] [1,3,3,1]=>[2,1,2,1,2] [1,3,4]=>[2,1,2,1,1,1] [1,4,1,1,1]=>[2,1,1,4] [1,4,1,2]=>[2,1,1,3,1] [1,4,2,1]=>[2,1,1,2,2] [1,4,3]=>[2,1,1,2,1,1] [1,5,1,1]=>[2,1,1,1,3] [1,5,2]=>[2,1,1,1,2,1] [1,6,1]=>[2,1,1,1,1,2] [1,7]=>[2,1,1,1,1,1,1] [2,1,1,1,1,1,1]=>[1,7] [2,1,1,1,1,2]=>[1,6,1] [2,1,1,1,2,1]=>[1,5,2] [2,1,1,1,3]=>[1,5,1,1] [2,1,1,2,1,1]=>[1,4,3] [2,1,1,2,2]=>[1,4,2,1] [2,1,1,3,1]=>[1,4,1,2] [2,1,1,4]=>[1,4,1,1,1] [2,1,2,1,1,1]=>[1,3,4] [2,1,2,1,2]=>[1,3,3,1] [2,1,2,2,1]=>[1,3,2,2] [2,1,2,3]=>[1,3,2,1,1] [2,1,3,1,1]=>[1,3,1,3] [2,1,3,2]=>[1,3,1,2,1] [2,1,4,1]=>[1,3,1,1,2] [2,1,5]=>[1,3,1,1,1,1] [2,2,1,1,1,1]=>[1,2,5] [2,2,1,1,2]=>[1,2,4,1] [2,2,1,2,1]=>[1,2,3,2] [2,2,1,3]=>[1,2,3,1,1] [2,2,2,1,1]=>[1,2,2,3] [2,2,2,2]=>[1,2,2,2,1] [2,2,3,1]=>[1,2,2,1,2] [2,2,4]=>[1,2,2,1,1,1] [2,3,1,1,1]=>[1,2,1,4] [2,3,1,2]=>[1,2,1,3,1] [2,3,2,1]=>[1,2,1,2,2] [2,3,3]=>[1,2,1,2,1,1] [2,4,1,1]=>[1,2,1,1,3] [2,4,2]=>[1,2,1,1,2,1] [2,5,1]=>[1,2,1,1,1,2] [2,6]=>[1,2,1,1,1,1,1] [3,1,1,1,1,1]=>[1,1,6] [3,1,1,1,2]=>[1,1,5,1] [3,1,1,2,1]=>[1,1,4,2] [3,1,1,3]=>[1,1,4,1,1] [3,1,2,1,1]=>[1,1,3,3] [3,1,2,2]=>[1,1,3,2,1] [3,1,3,1]=>[1,1,3,1,2] [3,1,4]=>[1,1,3,1,1,1] [3,2,1,1,1]=>[1,1,2,4] [3,2,1,2]=>[1,1,2,3,1] [3,2,2,1]=>[1,1,2,2,2] [3,2,3]=>[1,1,2,2,1,1] [3,3,1,1]=>[1,1,2,1,3] [3,3,2]=>[1,1,2,1,2,1] [3,4,1]=>[1,1,2,1,1,2] [3,5]=>[1,1,2,1,1,1,1] [4,1,1,1,1]=>[1,1,1,5] [4,1,1,2]=>[1,1,1,4,1] [4,1,2,1]=>[1,1,1,3,2] [4,1,3]=>[1,1,1,3,1,1] [4,2,1,1]=>[1,1,1,2,3] [4,2,2]=>[1,1,1,2,2,1] [4,3,1]=>[1,1,1,2,1,2] [4,4]=>[1,1,1,2,1,1,1] [5,1,1,1]=>[1,1,1,1,4] [5,1,2]=>[1,1,1,1,3,1] [5,2,1]=>[1,1,1,1,2,2] [5,3]=>[1,1,1,1,2,1,1] [6,1,1]=>[1,1,1,1,1,3] [6,2]=>[1,1,1,1,1,2,1] [7,1]=>[1,1,1,1,1,1,2] [8]=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1]=>[9] [1,1,1,1,1,1,1,2]=>[8,1] [1,1,1,1,1,1,2,1]=>[7,2] [1,1,1,1,1,1,3]=>[7,1,1] [1,1,1,1,1,2,1,1]=>[6,3] [1,1,1,1,1,2,2]=>[6,2,1] [1,1,1,1,1,3,1]=>[6,1,2] [1,1,1,1,1,4]=>[6,1,1,1] [1,1,1,1,2,1,1,1]=>[5,4] [1,1,1,1,2,1,2]=>[5,3,1] [1,1,1,1,2,2,1]=>[5,2,2] [1,1,1,1,2,3]=>[5,2,1,1] [1,1,1,1,3,1,1]=>[5,1,3] [1,1,1,1,3,2]=>[5,1,2,1] [1,1,1,1,4,1]=>[5,1,1,2] [1,1,1,1,5]=>[5,1,1,1,1] [1,1,1,2,1,1,1,1]=>[4,5] [1,1,1,2,1,1,2]=>[4,4,1] [1,1,1,2,1,2,1]=>[4,3,2] [1,1,1,2,1,3]=>[4,3,1,1] [1,1,1,2,2,1,1]=>[4,2,3] [1,1,1,2,2,2]=>[4,2,2,1] [1,1,1,2,3,1]=>[4,2,1,2] [1,1,1,2,4]=>[4,2,1,1,1] [1,1,1,3,1,1,1]=>[4,1,4] [1,1,1,3,1,2]=>[4,1,3,1] [1,1,1,3,2,1]=>[4,1,2,2] [1,1,1,3,3]=>[4,1,2,1,1] [1,1,1,4,1,1]=>[4,1,1,3] [1,1,1,4,2]=>[4,1,1,2,1] [1,1,1,5,1]=>[4,1,1,1,2] [1,1,1,6]=>[4,1,1,1,1,1] [1,1,2,1,1,1,1,1]=>[3,6] [1,1,2,1,1,1,2]=>[3,5,1] [1,1,2,1,1,2,1]=>[3,4,2] [1,1,2,1,1,3]=>[3,4,1,1] [1,1,2,1,2,1,1]=>[3,3,3] [1,1,2,1,2,2]=>[3,3,2,1] [1,1,2,1,3,1]=>[3,3,1,2] [1,1,2,1,4]=>[3,3,1,1,1] [1,1,2,2,1,1,1]=>[3,2,4] [1,1,2,2,1,2]=>[3,2,3,1] [1,1,2,2,2,1]=>[3,2,2,2] [1,1,2,2,3]=>[3,2,2,1,1] [1,1,2,3,1,1]=>[3,2,1,3] [1,1,2,3,2]=>[3,2,1,2,1] [1,1,2,4,1]=>[3,2,1,1,2] [1,1,2,5]=>[3,2,1,1,1,1] [1,1,3,1,1,1,1]=>[3,1,5] [1,1,3,1,1,2]=>[3,1,4,1] [1,1,3,1,2,1]=>[3,1,3,2] [1,1,3,1,3]=>[3,1,3,1,1] [1,1,3,2,1,1]=>[3,1,2,3] [1,1,3,2,2]=>[3,1,2,2,1] [1,1,3,3,1]=>[3,1,2,1,2] [1,1,3,4]=>[3,1,2,1,1,1] [1,1,4,1,1,1]=>[3,1,1,4] [1,1,4,1,2]=>[3,1,1,3,1] [1,1,4,2,1]=>[3,1,1,2,2] [1,1,4,3]=>[3,1,1,2,1,1] [1,1,5,1,1]=>[3,1,1,1,3] [1,1,5,2]=>[3,1,1,1,2,1] [1,1,6,1]=>[3,1,1,1,1,2] [1,1,7]=>[3,1,1,1,1,1,1] [1,2,1,1,1,1,1,1]=>[2,7] [1,2,1,1,1,1,2]=>[2,6,1] [1,2,1,1,1,2,1]=>[2,5,2] [1,2,1,1,1,3]=>[2,5,1,1] [1,2,1,1,2,1,1]=>[2,4,3] [1,2,1,1,2,2]=>[2,4,2,1] [1,2,1,1,3,1]=>[2,4,1,2] [1,2,1,1,4]=>[2,4,1,1,1] [1,2,1,2,1,1,1]=>[2,3,4] [1,2,1,2,1,2]=>[2,3,3,1] [1,2,1,2,2,1]=>[2,3,2,2] [1,2,1,2,3]=>[2,3,2,1,1] [1,2,1,3,1,1]=>[2,3,1,3] [1,2,1,3,2]=>[2,3,1,2,1] [1,2,1,4,1]=>[2,3,1,1,2] [1,2,1,5]=>[2,3,1,1,1,1] [1,2,2,1,1,1,1]=>[2,2,5] [1,2,2,1,1,2]=>[2,2,4,1] [1,2,2,1,2,1]=>[2,2,3,2] [1,2,2,1,3]=>[2,2,3,1,1] [1,2,2,2,1,1]=>[2,2,2,3] [1,2,2,2,2]=>[2,2,2,2,1] [1,2,2,3,1]=>[2,2,2,1,2] [1,2,2,4]=>[2,2,2,1,1,1] [1,2,3,1,1,1]=>[2,2,1,4] [1,2,3,1,2]=>[2,2,1,3,1] [1,2,3,2,1]=>[2,2,1,2,2] [1,2,3,3]=>[2,2,1,2,1,1] [1,2,4,1,1]=>[2,2,1,1,3] [1,2,4,2]=>[2,2,1,1,2,1] [1,2,5,1]=>[2,2,1,1,1,2] [1,2,6]=>[2,2,1,1,1,1,1] [1,3,1,1,1,1,1]=>[2,1,6] [1,3,1,1,1,2]=>[2,1,5,1] [1,3,1,1,2,1]=>[2,1,4,2] [1,3,1,1,3]=>[2,1,4,1,1] [1,3,1,2,1,1]=>[2,1,3,3] [1,3,1,2,2]=>[2,1,3,2,1] [1,3,1,3,1]=>[2,1,3,1,2] [1,3,1,4]=>[2,1,3,1,1,1] [1,3,2,1,1,1]=>[2,1,2,4] [1,3,2,1,2]=>[2,1,2,3,1] [1,3,2,2,1]=>[2,1,2,2,2] [1,3,2,3]=>[2,1,2,2,1,1] [1,3,3,1,1]=>[2,1,2,1,3] [1,3,3,2]=>[2,1,2,1,2,1] [1,3,4,1]=>[2,1,2,1,1,2] [1,3,5]=>[2,1,2,1,1,1,1] [1,4,1,1,1,1]=>[2,1,1,5] [1,4,1,1,2]=>[2,1,1,4,1] [1,4,1,2,1]=>[2,1,1,3,2] [1,4,1,3]=>[2,1,1,3,1,1] [1,4,2,1,1]=>[2,1,1,2,3] [1,4,2,2]=>[2,1,1,2,2,1] [1,4,3,1]=>[2,1,1,2,1,2] [1,4,4]=>[2,1,1,2,1,1,1] [1,5,1,1,1]=>[2,1,1,1,4] [1,5,1,2]=>[2,1,1,1,3,1] [1,5,2,1]=>[2,1,1,1,2,2] [1,5,3]=>[2,1,1,1,2,1,1] [1,6,1,1]=>[2,1,1,1,1,3] [1,6,2]=>[2,1,1,1,1,2,1] [1,7,1]=>[2,1,1,1,1,1,2] [1,8]=>[2,1,1,1,1,1,1,1] [2,1,1,1,1,1,1,1]=>[1,8] [2,1,1,1,1,1,2]=>[1,7,1] [2,1,1,1,1,2,1]=>[1,6,2] [2,1,1,1,1,3]=>[1,6,1,1] [2,1,1,1,2,1,1]=>[1,5,3] [2,1,1,1,2,2]=>[1,5,2,1] [2,1,1,1,3,1]=>[1,5,1,2] [2,1,1,1,4]=>[1,5,1,1,1] [2,1,1,2,1,1,1]=>[1,4,4] [2,1,1,2,1,2]=>[1,4,3,1] [2,1,1,2,2,1]=>[1,4,2,2] [2,1,1,2,3]=>[1,4,2,1,1] [2,1,1,3,1,1]=>[1,4,1,3] [2,1,1,3,2]=>[1,4,1,2,1] [2,1,1,4,1]=>[1,4,1,1,2] [2,1,1,5]=>[1,4,1,1,1,1] [2,1,2,1,1,1,1]=>[1,3,5] [2,1,2,1,1,2]=>[1,3,4,1] [2,1,2,1,2,1]=>[1,3,3,2] [2,1,2,1,3]=>[1,3,3,1,1] [2,1,2,2,1,1]=>[1,3,2,3] [2,1,2,2,2]=>[1,3,2,2,1] [2,1,2,3,1]=>[1,3,2,1,2] [2,1,2,4]=>[1,3,2,1,1,1] [2,1,3,1,1,1]=>[1,3,1,4] [2,1,3,1,2]=>[1,3,1,3,1] [2,1,3,2,1]=>[1,3,1,2,2] [2,1,3,3]=>[1,3,1,2,1,1] [2,1,4,1,1]=>[1,3,1,1,3] [2,1,4,2]=>[1,3,1,1,2,1] [2,1,5,1]=>[1,3,1,1,1,2] [2,1,6]=>[1,3,1,1,1,1,1] [2,2,1,1,1,1,1]=>[1,2,6] [2,2,1,1,1,2]=>[1,2,5,1] [2,2,1,1,2,1]=>[1,2,4,2] [2,2,1,1,3]=>[1,2,4,1,1] [2,2,1,2,1,1]=>[1,2,3,3] [2,2,1,2,2]=>[1,2,3,2,1] [2,2,1,3,1]=>[1,2,3,1,2] [2,2,1,4]=>[1,2,3,1,1,1] [2,2,2,1,1,1]=>[1,2,2,4] [2,2,2,1,2]=>[1,2,2,3,1] [2,2,2,2,1]=>[1,2,2,2,2] [2,2,2,3]=>[1,2,2,2,1,1] [2,2,3,1,1]=>[1,2,2,1,3] [2,2,3,2]=>[1,2,2,1,2,1] [2,2,4,1]=>[1,2,2,1,1,2] [2,2,5]=>[1,2,2,1,1,1,1] [2,3,1,1,1,1]=>[1,2,1,5] [2,3,1,1,2]=>[1,2,1,4,1] [2,3,1,2,1]=>[1,2,1,3,2] [2,3,1,3]=>[1,2,1,3,1,1] [2,3,2,1,1]=>[1,2,1,2,3] [2,3,2,2]=>[1,2,1,2,2,1] [2,3,3,1]=>[1,2,1,2,1,2] [2,3,4]=>[1,2,1,2,1,1,1] [2,4,1,1,1]=>[1,2,1,1,4] [2,4,1,2]=>[1,2,1,1,3,1] [2,4,2,1]=>[1,2,1,1,2,2] [2,4,3]=>[1,2,1,1,2,1,1] [2,5,1,1]=>[1,2,1,1,1,3] [2,5,2]=>[1,2,1,1,1,2,1] [2,6,1]=>[1,2,1,1,1,1,2] [2,7]=>[1,2,1,1,1,1,1,1] [3,1,1,1,1,1,1]=>[1,1,7] [3,1,1,1,1,2]=>[1,1,6,1] [3,1,1,1,2,1]=>[1,1,5,2] [3,1,1,1,3]=>[1,1,5,1,1] [3,1,1,2,1,1]=>[1,1,4,3] [3,1,1,2,2]=>[1,1,4,2,1] [3,1,1,3,1]=>[1,1,4,1,2] [3,1,1,4]=>[1,1,4,1,1,1] [3,1,2,1,1,1]=>[1,1,3,4] [3,1,2,1,2]=>[1,1,3,3,1] [3,1,2,2,1]=>[1,1,3,2,2] [3,1,2,3]=>[1,1,3,2,1,1] [3,1,3,1,1]=>[1,1,3,1,3] [3,1,3,2]=>[1,1,3,1,2,1] [3,1,4,1]=>[1,1,3,1,1,2] [3,1,5]=>[1,1,3,1,1,1,1] [3,2,1,1,1,1]=>[1,1,2,5] [3,2,1,1,2]=>[1,1,2,4,1] [3,2,1,2,1]=>[1,1,2,3,2] [3,2,1,3]=>[1,1,2,3,1,1] [3,2,2,1,1]=>[1,1,2,2,3] [3,2,2,2]=>[1,1,2,2,2,1] [3,2,3,1]=>[1,1,2,2,1,2] [3,2,4]=>[1,1,2,2,1,1,1] [3,3,1,1,1]=>[1,1,2,1,4] [3,3,1,2]=>[1,1,2,1,3,1] [3,3,2,1]=>[1,1,2,1,2,2] [3,3,3]=>[1,1,2,1,2,1,1] [3,4,1,1]=>[1,1,2,1,1,3] [3,4,2]=>[1,1,2,1,1,2,1] [3,5,1]=>[1,1,2,1,1,1,2] [3,6]=>[1,1,2,1,1,1,1,1] [4,1,1,1,1,1]=>[1,1,1,6] [4,1,1,1,2]=>[1,1,1,5,1] [4,1,1,2,1]=>[1,1,1,4,2] [4,1,1,3]=>[1,1,1,4,1,1] [4,1,2,1,1]=>[1,1,1,3,3] [4,1,2,2]=>[1,1,1,3,2,1] [4,1,3,1]=>[1,1,1,3,1,2] [4,1,4]=>[1,1,1,3,1,1,1] [4,2,1,1,1]=>[1,1,1,2,4] [4,2,1,2]=>[1,1,1,2,3,1] [4,2,2,1]=>[1,1,1,2,2,2] [4,2,3]=>[1,1,1,2,2,1,1] [4,3,1,1]=>[1,1,1,2,1,3] [4,3,2]=>[1,1,1,2,1,2,1] [4,4,1]=>[1,1,1,2,1,1,2] [4,5]=>[1,1,1,2,1,1,1,1] [5,1,1,1,1]=>[1,1,1,1,5] [5,1,1,2]=>[1,1,1,1,4,1] [5,1,2,1]=>[1,1,1,1,3,2] [5,1,3]=>[1,1,1,1,3,1,1] [5,2,1,1]=>[1,1,1,1,2,3] [5,2,2]=>[1,1,1,1,2,2,1] [5,3,1]=>[1,1,1,1,2,1,2] [5,4]=>[1,1,1,1,2,1,1,1] [6,1,1,1]=>[1,1,1,1,1,4] [6,1,2]=>[1,1,1,1,1,3,1] [6,2,1]=>[1,1,1,1,1,2,2] [6,3]=>[1,1,1,1,1,2,1,1] [7,1,1]=>[1,1,1,1,1,1,3] [7,2]=>[1,1,1,1,1,1,2,1] [8,1]=>[1,1,1,1,1,1,1,2] [9]=>[1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1]=>[10] [1,1,1,1,1,1,1,1,2]=>[9,1] [1,1,1,1,1,1,1,2,1]=>[8,2] [1,1,1,1,1,1,1,3]=>[8,1,1] [1,1,1,1,1,1,2,1,1]=>[7,3] [1,1,1,1,1,1,2,2]=>[7,2,1] [1,1,1,1,1,1,3,1]=>[7,1,2] [1,1,1,1,1,1,4]=>[7,1,1,1] [1,1,1,1,1,2,1,1,1]=>[6,4] [1,1,1,1,1,2,1,2]=>[6,3,1] [1,1,1,1,1,2,2,1]=>[6,2,2] [1,1,1,1,1,2,3]=>[6,2,1,1] [1,1,1,1,1,3,1,1]=>[6,1,3] [1,1,1,1,1,3,2]=>[6,1,2,1] [1,1,1,1,1,4,1]=>[6,1,1,2] [1,1,1,1,1,5]=>[6,1,1,1,1] [1,1,1,1,2,1,1,1,1]=>[5,5] [1,1,1,1,2,1,1,2]=>[5,4,1] [1,1,1,1,2,1,2,1]=>[5,3,2] [1,1,1,1,2,1,3]=>[5,3,1,1] [1,1,1,1,2,2,1,1]=>[5,2,3] [1,1,1,1,2,2,2]=>[5,2,2,1] [1,1,1,1,2,3,1]=>[5,2,1,2] [1,1,1,1,2,4]=>[5,2,1,1,1] [1,1,1,1,3,1,1,1]=>[5,1,4] [1,1,1,1,3,1,2]=>[5,1,3,1] [1,1,1,1,3,2,1]=>[5,1,2,2] [1,1,1,1,3,3]=>[5,1,2,1,1] [1,1,1,1,4,1,1]=>[5,1,1,3] [1,1,1,1,4,2]=>[5,1,1,2,1] [1,1,1,1,5,1]=>[5,1,1,1,2] [1,1,1,1,6]=>[5,1,1,1,1,1] [1,1,1,2,1,1,1,1,1]=>[4,6] [1,1,1,2,1,1,1,2]=>[4,5,1] [1,1,1,2,1,1,2,1]=>[4,4,2] [1,1,1,2,1,1,3]=>[4,4,1,1] [1,1,1,2,1,2,1,1]=>[4,3,3] [1,1,1,2,1,2,2]=>[4,3,2,1] [1,1,1,2,1,3,1]=>[4,3,1,2] [1,1,1,2,1,4]=>[4,3,1,1,1] [1,1,1,2,2,1,1,1]=>[4,2,4] [1,1,1,2,2,1,2]=>[4,2,3,1] [1,1,1,2,2,2,1]=>[4,2,2,2] [1,1,1,2,2,3]=>[4,2,2,1,1] [1,1,1,2,3,1,1]=>[4,2,1,3] [1,1,1,2,3,2]=>[4,2,1,2,1] [1,1,1,2,4,1]=>[4,2,1,1,2] [1,1,1,2,5]=>[4,2,1,1,1,1] [1,1,1,3,1,1,1,1]=>[4,1,5] [1,1,1,3,1,1,2]=>[4,1,4,1] [1,1,1,3,1,2,1]=>[4,1,3,2] [1,1,1,3,1,3]=>[4,1,3,1,1] [1,1,1,3,2,1,1]=>[4,1,2,3] [1,1,1,3,2,2]=>[4,1,2,2,1] [1,1,1,3,3,1]=>[4,1,2,1,2] [1,1,1,3,4]=>[4,1,2,1,1,1] [1,1,1,4,1,1,1]=>[4,1,1,4] [1,1,1,4,1,2]=>[4,1,1,3,1] [1,1,1,4,2,1]=>[4,1,1,2,2] [1,1,1,4,3]=>[4,1,1,2,1,1] [1,1,1,5,1,1]=>[4,1,1,1,3] [1,1,1,5,2]=>[4,1,1,1,2,1] [1,1,1,6,1]=>[4,1,1,1,1,2] [1,1,1,7]=>[4,1,1,1,1,1,1] [1,1,2,1,1,1,1,1,1]=>[3,7] [1,1,2,1,1,1,1,2]=>[3,6,1] [1,1,2,1,1,1,2,1]=>[3,5,2] [1,1,2,1,1,1,3]=>[3,5,1,1] [1,1,2,1,1,2,1,1]=>[3,4,3] [1,1,2,1,1,2,2]=>[3,4,2,1] [1,1,2,1,1,3,1]=>[3,4,1,2] [1,1,2,1,1,4]=>[3,4,1,1,1] [1,1,2,1,2,1,1,1]=>[3,3,4] [1,1,2,1,2,1,2]=>[3,3,3,1] [1,1,2,1,2,2,1]=>[3,3,2,2] [1,1,2,1,2,3]=>[3,3,2,1,1] [1,1,2,1,3,1,1]=>[3,3,1,3] [1,1,2,1,3,2]=>[3,3,1,2,1] [1,1,2,1,4,1]=>[3,3,1,1,2] [1,1,2,1,5]=>[3,3,1,1,1,1] [1,1,2,2,1,1,1,1]=>[3,2,5] [1,1,2,2,1,1,2]=>[3,2,4,1] [1,1,2,2,1,2,1]=>[3,2,3,2] [1,1,2,2,1,3]=>[3,2,3,1,1] [1,1,2,2,2,1,1]=>[3,2,2,3] [1,1,2,2,2,2]=>[3,2,2,2,1] [1,1,2,2,3,1]=>[3,2,2,1,2] [1,1,2,2,4]=>[3,2,2,1,1,1] [1,1,2,3,1,1,1]=>[3,2,1,4] [1,1,2,3,1,2]=>[3,2,1,3,1] [1,1,2,3,2,1]=>[3,2,1,2,2] [1,1,2,3,3]=>[3,2,1,2,1,1] [1,1,2,4,1,1]=>[3,2,1,1,3] [1,1,2,4,2]=>[3,2,1,1,2,1] [1,1,2,5,1]=>[3,2,1,1,1,2] [1,1,2,6]=>[3,2,1,1,1,1,1] [1,1,3,1,1,1,1,1]=>[3,1,6] [1,1,3,1,1,1,2]=>[3,1,5,1] [1,1,3,1,1,2,1]=>[3,1,4,2] [1,1,3,1,1,3]=>[3,1,4,1,1] [1,1,3,1,2,1,1]=>[3,1,3,3] [1,1,3,1,2,2]=>[3,1,3,2,1] [1,1,3,1,3,1]=>[3,1,3,1,2] [1,1,3,1,4]=>[3,1,3,1,1,1] [1,1,3,2,1,1,1]=>[3,1,2,4] [1,1,3,2,1,2]=>[3,1,2,3,1] [1,1,3,2,2,1]=>[3,1,2,2,2] [1,1,3,2,3]=>[3,1,2,2,1,1] [1,1,3,3,1,1]=>[3,1,2,1,3] [1,1,3,3,2]=>[3,1,2,1,2,1] [1,1,3,4,1]=>[3,1,2,1,1,2] [1,1,3,5]=>[3,1,2,1,1,1,1] [1,1,4,1,1,1,1]=>[3,1,1,5] [1,1,4,1,1,2]=>[3,1,1,4,1] [1,1,4,1,2,1]=>[3,1,1,3,2] [1,1,4,1,3]=>[3,1,1,3,1,1] [1,1,4,2,1,1]=>[3,1,1,2,3] [1,1,4,2,2]=>[3,1,1,2,2,1] [1,1,4,3,1]=>[3,1,1,2,1,2] [1,1,4,4]=>[3,1,1,2,1,1,1] [1,1,5,1,1,1]=>[3,1,1,1,4] [1,1,5,1,2]=>[3,1,1,1,3,1] [1,1,5,2,1]=>[3,1,1,1,2,2] [1,1,5,3]=>[3,1,1,1,2,1,1] [1,1,6,1,1]=>[3,1,1,1,1,3] [1,1,6,2]=>[3,1,1,1,1,2,1] [1,1,7,1]=>[3,1,1,1,1,1,2] [1,1,8]=>[3,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,1,1]=>[2,8] [1,2,1,1,1,1,1,2]=>[2,7,1] [1,2,1,1,1,1,2,1]=>[2,6,2] [1,2,1,1,1,1,3]=>[2,6,1,1] [1,2,1,1,1,2,1,1]=>[2,5,3] [1,2,1,1,1,2,2]=>[2,5,2,1] [1,2,1,1,1,3,1]=>[2,5,1,2] [1,2,1,1,1,4]=>[2,5,1,1,1] [1,2,1,1,2,1,1,1]=>[2,4,4] [1,2,1,1,2,1,2]=>[2,4,3,1] [1,2,1,1,2,2,1]=>[2,4,2,2] [1,2,1,1,2,3]=>[2,4,2,1,1] [1,2,1,1,3,1,1]=>[2,4,1,3] [1,2,1,1,3,2]=>[2,4,1,2,1] [1,2,1,1,4,1]=>[2,4,1,1,2] [1,2,1,1,5]=>[2,4,1,1,1,1] [1,2,1,2,1,1,1,1]=>[2,3,5] [1,2,1,2,1,1,2]=>[2,3,4,1] [1,2,1,2,1,2,1]=>[2,3,3,2] [1,2,1,2,1,3]=>[2,3,3,1,1] [1,2,1,2,2,1,1]=>[2,3,2,3] [1,2,1,2,2,2]=>[2,3,2,2,1] [1,2,1,2,3,1]=>[2,3,2,1,2] [1,2,1,2,4]=>[2,3,2,1,1,1] [1,2,1,3,1,1,1]=>[2,3,1,4] [1,2,1,3,1,2]=>[2,3,1,3,1] [1,2,1,3,2,1]=>[2,3,1,2,2] [1,2,1,3,3]=>[2,3,1,2,1,1] [1,2,1,4,1,1]=>[2,3,1,1,3] [1,2,1,4,2]=>[2,3,1,1,2,1] [1,2,1,5,1]=>[2,3,1,1,1,2] [1,2,1,6]=>[2,3,1,1,1,1,1] [1,2,2,1,1,1,1,1]=>[2,2,6] [1,2,2,1,1,1,2]=>[2,2,5,1] [1,2,2,1,1,2,1]=>[2,2,4,2] [1,2,2,1,1,3]=>[2,2,4,1,1] [1,2,2,1,2,1,1]=>[2,2,3,3] [1,2,2,1,2,2]=>[2,2,3,2,1] [1,2,2,1,3,1]=>[2,2,3,1,2] [1,2,2,1,4]=>[2,2,3,1,1,1] [1,2,2,2,1,1,1]=>[2,2,2,4] [1,2,2,2,1,2]=>[2,2,2,3,1] [1,2,2,2,2,1]=>[2,2,2,2,2] [1,2,2,2,3]=>[2,2,2,2,1,1] [1,2,2,3,1,1]=>[2,2,2,1,3] [1,2,2,3,2]=>[2,2,2,1,2,1] [1,2,2,4,1]=>[2,2,2,1,1,2] [1,2,2,5]=>[2,2,2,1,1,1,1] [1,2,3,1,1,1,1]=>[2,2,1,5] [1,2,3,1,1,2]=>[2,2,1,4,1] [1,2,3,1,2,1]=>[2,2,1,3,2] [1,2,3,1,3]=>[2,2,1,3,1,1] [1,2,3,2,1,1]=>[2,2,1,2,3] [1,2,3,2,2]=>[2,2,1,2,2,1] [1,2,3,3,1]=>[2,2,1,2,1,2] [1,2,3,4]=>[2,2,1,2,1,1,1] [1,2,4,1,1,1]=>[2,2,1,1,4] [1,2,4,1,2]=>[2,2,1,1,3,1] [1,2,4,2,1]=>[2,2,1,1,2,2] [1,2,4,3]=>[2,2,1,1,2,1,1] [1,2,5,1,1]=>[2,2,1,1,1,3] [1,2,5,2]=>[2,2,1,1,1,2,1] [1,2,6,1]=>[2,2,1,1,1,1,2] [1,2,7]=>[2,2,1,1,1,1,1,1] [1,3,1,1,1,1,1,1]=>[2,1,7] [1,3,1,1,1,1,2]=>[2,1,6,1] [1,3,1,1,1,2,1]=>[2,1,5,2] [1,3,1,1,1,3]=>[2,1,5,1,1] [1,3,1,1,2,1,1]=>[2,1,4,3] [1,3,1,1,2,2]=>[2,1,4,2,1] [1,3,1,1,3,1]=>[2,1,4,1,2] [1,3,1,1,4]=>[2,1,4,1,1,1] [1,3,1,2,1,1,1]=>[2,1,3,4] [1,3,1,2,1,2]=>[2,1,3,3,1] [1,3,1,2,2,1]=>[2,1,3,2,2] [1,3,1,2,3]=>[2,1,3,2,1,1] [1,3,1,3,1,1]=>[2,1,3,1,3] [1,3,1,3,2]=>[2,1,3,1,2,1] [1,3,1,4,1]=>[2,1,3,1,1,2] [1,3,1,5]=>[2,1,3,1,1,1,1] [1,3,2,1,1,1,1]=>[2,1,2,5] [1,3,2,1,1,2]=>[2,1,2,4,1] [1,3,2,1,2,1]=>[2,1,2,3,2] [1,3,2,1,3]=>[2,1,2,3,1,1] [1,3,2,2,1,1]=>[2,1,2,2,3] [1,3,2,2,2]=>[2,1,2,2,2,1] [1,3,2,3,1]=>[2,1,2,2,1,2] [1,3,2,4]=>[2,1,2,2,1,1,1] [1,3,3,1,1,1]=>[2,1,2,1,4] [1,3,3,1,2]=>[2,1,2,1,3,1] [1,3,3,2,1]=>[2,1,2,1,2,2] [1,3,3,3]=>[2,1,2,1,2,1,1] [1,3,4,1,1]=>[2,1,2,1,1,3] [1,3,4,2]=>[2,1,2,1,1,2,1] [1,3,5,1]=>[2,1,2,1,1,1,2] [1,3,6]=>[2,1,2,1,1,1,1,1] [1,4,1,1,1,1,1]=>[2,1,1,6] [1,4,1,1,1,2]=>[2,1,1,5,1] [1,4,1,1,2,1]=>[2,1,1,4,2] [1,4,1,1,3]=>[2,1,1,4,1,1] [1,4,1,2,1,1]=>[2,1,1,3,3] [1,4,1,2,2]=>[2,1,1,3,2,1] [1,4,1,3,1]=>[2,1,1,3,1,2] [1,4,1,4]=>[2,1,1,3,1,1,1] [1,4,2,1,1,1]=>[2,1,1,2,4] [1,4,2,1,2]=>[2,1,1,2,3,1] [1,4,2,2,1]=>[2,1,1,2,2,2] [1,4,2,3]=>[2,1,1,2,2,1,1] [1,4,3,1,1]=>[2,1,1,2,1,3] [1,4,3,2]=>[2,1,1,2,1,2,1] [1,4,4,1]=>[2,1,1,2,1,1,2] [1,4,5]=>[2,1,1,2,1,1,1,1] [1,5,1,1,1,1]=>[2,1,1,1,5] [1,5,1,1,2]=>[2,1,1,1,4,1] [1,5,1,2,1]=>[2,1,1,1,3,2] [1,5,1,3]=>[2,1,1,1,3,1,1] [1,5,2,1,1]=>[2,1,1,1,2,3] [1,5,2,2]=>[2,1,1,1,2,2,1] [1,5,3,1]=>[2,1,1,1,2,1,2] [1,5,4]=>[2,1,1,1,2,1,1,1] [1,6,1,1,1]=>[2,1,1,1,1,4] [1,6,1,2]=>[2,1,1,1,1,3,1] [1,6,2,1]=>[2,1,1,1,1,2,2] [1,6,3]=>[2,1,1,1,1,2,1,1] [1,7,1,1]=>[2,1,1,1,1,1,3] [1,7,2]=>[2,1,1,1,1,1,2,1] [1,8,1]=>[2,1,1,1,1,1,1,2] [1,9]=>[2,1,1,1,1,1,1,1,1] [2,1,1,1,1,1,1,1,1]=>[1,9] [2,1,1,1,1,1,1,2]=>[1,8,1] [2,1,1,1,1,1,2,1]=>[1,7,2] [2,1,1,1,1,1,3]=>[1,7,1,1] [2,1,1,1,1,2,1,1]=>[1,6,3] [2,1,1,1,1,2,2]=>[1,6,2,1] [2,1,1,1,1,3,1]=>[1,6,1,2] [2,1,1,1,1,4]=>[1,6,1,1,1] [2,1,1,1,2,1,1,1]=>[1,5,4] [2,1,1,1,2,1,2]=>[1,5,3,1] [2,1,1,1,2,2,1]=>[1,5,2,2] [2,1,1,1,2,3]=>[1,5,2,1,1] [2,1,1,1,3,1,1]=>[1,5,1,3] [2,1,1,1,3,2]=>[1,5,1,2,1] [2,1,1,1,4,1]=>[1,5,1,1,2] [2,1,1,1,5]=>[1,5,1,1,1,1] [2,1,1,2,1,1,1,1]=>[1,4,5] [2,1,1,2,1,1,2]=>[1,4,4,1] [2,1,1,2,1,2,1]=>[1,4,3,2] [2,1,1,2,1,3]=>[1,4,3,1,1] [2,1,1,2,2,1,1]=>[1,4,2,3] [2,1,1,2,2,2]=>[1,4,2,2,1] [2,1,1,2,3,1]=>[1,4,2,1,2] [2,1,1,2,4]=>[1,4,2,1,1,1] [2,1,1,3,1,1,1]=>[1,4,1,4] [2,1,1,3,1,2]=>[1,4,1,3,1] [2,1,1,3,2,1]=>[1,4,1,2,2] [2,1,1,3,3]=>[1,4,1,2,1,1] [2,1,1,4,1,1]=>[1,4,1,1,3] [2,1,1,4,2]=>[1,4,1,1,2,1] [2,1,1,5,1]=>[1,4,1,1,1,2] [2,1,1,6]=>[1,4,1,1,1,1,1] [2,1,2,1,1,1,1,1]=>[1,3,6] [2,1,2,1,1,1,2]=>[1,3,5,1] [2,1,2,1,1,2,1]=>[1,3,4,2] [2,1,2,1,1,3]=>[1,3,4,1,1] [2,1,2,1,2,1,1]=>[1,3,3,3] [2,1,2,1,2,2]=>[1,3,3,2,1] [2,1,2,1,3,1]=>[1,3,3,1,2] [2,1,2,1,4]=>[1,3,3,1,1,1] [2,1,2,2,1,1,1]=>[1,3,2,4] [2,1,2,2,1,2]=>[1,3,2,3,1] [2,1,2,2,2,1]=>[1,3,2,2,2] [2,1,2,2,3]=>[1,3,2,2,1,1] [2,1,2,3,1,1]=>[1,3,2,1,3] [2,1,2,3,2]=>[1,3,2,1,2,1] [2,1,2,4,1]=>[1,3,2,1,1,2] [2,1,2,5]=>[1,3,2,1,1,1,1] [2,1,3,1,1,1,1]=>[1,3,1,5] [2,1,3,1,1,2]=>[1,3,1,4,1] [2,1,3,1,2,1]=>[1,3,1,3,2] [2,1,3,1,3]=>[1,3,1,3,1,1] [2,1,3,2,1,1]=>[1,3,1,2,3] [2,1,3,2,2]=>[1,3,1,2,2,1] [2,1,3,3,1]=>[1,3,1,2,1,2] [2,1,3,4]=>[1,3,1,2,1,1,1] [2,1,4,1,1,1]=>[1,3,1,1,4] [2,1,4,1,2]=>[1,3,1,1,3,1] [2,1,4,2,1]=>[1,3,1,1,2,2] [2,1,4,3]=>[1,3,1,1,2,1,1] [2,1,5,1,1]=>[1,3,1,1,1,3] [2,1,5,2]=>[1,3,1,1,1,2,1] [2,1,6,1]=>[1,3,1,1,1,1,2] [2,1,7]=>[1,3,1,1,1,1,1,1] [2,2,1,1,1,1,1,1]=>[1,2,7] [2,2,1,1,1,1,2]=>[1,2,6,1] [2,2,1,1,1,2,1]=>[1,2,5,2] [2,2,1,1,1,3]=>[1,2,5,1,1] [2,2,1,1,2,1,1]=>[1,2,4,3] [2,2,1,1,2,2]=>[1,2,4,2,1] [2,2,1,1,3,1]=>[1,2,4,1,2] [2,2,1,1,4]=>[1,2,4,1,1,1] [2,2,1,2,1,1,1]=>[1,2,3,4] [2,2,1,2,1,2]=>[1,2,3,3,1] [2,2,1,2,2,1]=>[1,2,3,2,2] [2,2,1,2,3]=>[1,2,3,2,1,1] [2,2,1,3,1,1]=>[1,2,3,1,3] [2,2,1,3,2]=>[1,2,3,1,2,1] [2,2,1,4,1]=>[1,2,3,1,1,2] [2,2,1,5]=>[1,2,3,1,1,1,1] [2,2,2,1,1,1,1]=>[1,2,2,5] [2,2,2,1,1,2]=>[1,2,2,4,1] [2,2,2,1,2,1]=>[1,2,2,3,2] [2,2,2,1,3]=>[1,2,2,3,1,1] [2,2,2,2,1,1]=>[1,2,2,2,3] [2,2,2,2,2]=>[1,2,2,2,2,1] [2,2,2,3,1]=>[1,2,2,2,1,2] [2,2,2,4]=>[1,2,2,2,1,1,1] [2,2,3,1,1,1]=>[1,2,2,1,4] [2,2,3,1,2]=>[1,2,2,1,3,1] [2,2,3,2,1]=>[1,2,2,1,2,2] [2,2,3,3]=>[1,2,2,1,2,1,1] [2,2,4,1,1]=>[1,2,2,1,1,3] [2,2,4,2]=>[1,2,2,1,1,2,1] [2,2,5,1]=>[1,2,2,1,1,1,2] [2,2,6]=>[1,2,2,1,1,1,1,1] [2,3,1,1,1,1,1]=>[1,2,1,6] [2,3,1,1,1,2]=>[1,2,1,5,1] [2,3,1,1,2,1]=>[1,2,1,4,2] [2,3,1,1,3]=>[1,2,1,4,1,1] [2,3,1,2,1,1]=>[1,2,1,3,3] [2,3,1,2,2]=>[1,2,1,3,2,1] [2,3,1,3,1]=>[1,2,1,3,1,2] [2,3,1,4]=>[1,2,1,3,1,1,1] [2,3,2,1,1,1]=>[1,2,1,2,4] [2,3,2,1,2]=>[1,2,1,2,3,1] [2,3,2,2,1]=>[1,2,1,2,2,2] [2,3,2,3]=>[1,2,1,2,2,1,1] [2,3,3,1,1]=>[1,2,1,2,1,3] [2,3,3,2]=>[1,2,1,2,1,2,1] [2,3,4,1]=>[1,2,1,2,1,1,2] [2,3,5]=>[1,2,1,2,1,1,1,1] [2,4,1,1,1,1]=>[1,2,1,1,5] [2,4,1,1,2]=>[1,2,1,1,4,1] [2,4,1,2,1]=>[1,2,1,1,3,2] [2,4,1,3]=>[1,2,1,1,3,1,1] [2,4,2,1,1]=>[1,2,1,1,2,3] [2,4,2,2]=>[1,2,1,1,2,2,1] [2,4,3,1]=>[1,2,1,1,2,1,2] [2,4,4]=>[1,2,1,1,2,1,1,1] [2,5,1,1,1]=>[1,2,1,1,1,4] [2,5,1,2]=>[1,2,1,1,1,3,1] [2,5,2,1]=>[1,2,1,1,1,2,2] [2,5,3]=>[1,2,1,1,1,2,1,1] [2,6,1,1]=>[1,2,1,1,1,1,3] [2,6,2]=>[1,2,1,1,1,1,2,1] [2,7,1]=>[1,2,1,1,1,1,1,2] [2,8]=>[1,2,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,1]=>[1,1,8] [3,1,1,1,1,1,2]=>[1,1,7,1] [3,1,1,1,1,2,1]=>[1,1,6,2] [3,1,1,1,1,3]=>[1,1,6,1,1] [3,1,1,1,2,1,1]=>[1,1,5,3] [3,1,1,1,2,2]=>[1,1,5,2,1] [3,1,1,1,3,1]=>[1,1,5,1,2] [3,1,1,1,4]=>[1,1,5,1,1,1] [3,1,1,2,1,1,1]=>[1,1,4,4] [3,1,1,2,1,2]=>[1,1,4,3,1] [3,1,1,2,2,1]=>[1,1,4,2,2] [3,1,1,2,3]=>[1,1,4,2,1,1] [3,1,1,3,1,1]=>[1,1,4,1,3] [3,1,1,3,2]=>[1,1,4,1,2,1] [3,1,1,4,1]=>[1,1,4,1,1,2] [3,1,1,5]=>[1,1,4,1,1,1,1] [3,1,2,1,1,1,1]=>[1,1,3,5] [3,1,2,1,1,2]=>[1,1,3,4,1] [3,1,2,1,2,1]=>[1,1,3,3,2] [3,1,2,1,3]=>[1,1,3,3,1,1] [3,1,2,2,1,1]=>[1,1,3,2,3] [3,1,2,2,2]=>[1,1,3,2,2,1] [3,1,2,3,1]=>[1,1,3,2,1,2] [3,1,2,4]=>[1,1,3,2,1,1,1] [3,1,3,1,1,1]=>[1,1,3,1,4] [3,1,3,1,2]=>[1,1,3,1,3,1] [3,1,3,2,1]=>[1,1,3,1,2,2] [3,1,3,3]=>[1,1,3,1,2,1,1] [3,1,4,1,1]=>[1,1,3,1,1,3] [3,1,4,2]=>[1,1,3,1,1,2,1] [3,1,5,1]=>[1,1,3,1,1,1,2] [3,1,6]=>[1,1,3,1,1,1,1,1] [3,2,1,1,1,1,1]=>[1,1,2,6] [3,2,1,1,1,2]=>[1,1,2,5,1] [3,2,1,1,2,1]=>[1,1,2,4,2] [3,2,1,1,3]=>[1,1,2,4,1,1] [3,2,1,2,1,1]=>[1,1,2,3,3] [3,2,1,2,2]=>[1,1,2,3,2,1] [3,2,1,3,1]=>[1,1,2,3,1,2] [3,2,1,4]=>[1,1,2,3,1,1,1] [3,2,2,1,1,1]=>[1,1,2,2,4] [3,2,2,1,2]=>[1,1,2,2,3,1] [3,2,2,2,1]=>[1,1,2,2,2,2] [3,2,2,3]=>[1,1,2,2,2,1,1] [3,2,3,1,1]=>[1,1,2,2,1,3] [3,2,3,2]=>[1,1,2,2,1,2,1] [3,2,4,1]=>[1,1,2,2,1,1,2] [3,2,5]=>[1,1,2,2,1,1,1,1] [3,3,1,1,1,1]=>[1,1,2,1,5] [3,3,1,1,2]=>[1,1,2,1,4,1] [3,3,1,2,1]=>[1,1,2,1,3,2] [3,3,1,3]=>[1,1,2,1,3,1,1] [3,3,2,1,1]=>[1,1,2,1,2,3] [3,3,2,2]=>[1,1,2,1,2,2,1] [3,3,3,1]=>[1,1,2,1,2,1,2] [3,3,4]=>[1,1,2,1,2,1,1,1] [3,4,1,1,1]=>[1,1,2,1,1,4] [3,4,1,2]=>[1,1,2,1,1,3,1] [3,4,2,1]=>[1,1,2,1,1,2,2] [3,4,3]=>[1,1,2,1,1,2,1,1] [3,5,1,1]=>[1,1,2,1,1,1,3] [3,5,2]=>[1,1,2,1,1,1,2,1] [3,6,1]=>[1,1,2,1,1,1,1,2] [3,7]=>[1,1,2,1,1,1,1,1,1] [4,1,1,1,1,1,1]=>[1,1,1,7] [4,1,1,1,1,2]=>[1,1,1,6,1] [4,1,1,1,2,1]=>[1,1,1,5,2] [4,1,1,1,3]=>[1,1,1,5,1,1] [4,1,1,2,1,1]=>[1,1,1,4,3] [4,1,1,2,2]=>[1,1,1,4,2,1] [4,1,1,3,1]=>[1,1,1,4,1,2] [4,1,1,4]=>[1,1,1,4,1,1,1] [4,1,2,1,1,1]=>[1,1,1,3,4] [4,1,2,1,2]=>[1,1,1,3,3,1] [4,1,2,2,1]=>[1,1,1,3,2,2] [4,1,2,3]=>[1,1,1,3,2,1,1] [4,1,3,1,1]=>[1,1,1,3,1,3] [4,1,3,2]=>[1,1,1,3,1,2,1] [4,1,4,1]=>[1,1,1,3,1,1,2] [4,1,5]=>[1,1,1,3,1,1,1,1] [4,2,1,1,1,1]=>[1,1,1,2,5] [4,2,1,1,2]=>[1,1,1,2,4,1] [4,2,1,2,1]=>[1,1,1,2,3,2] [4,2,1,3]=>[1,1,1,2,3,1,1] [4,2,2,1,1]=>[1,1,1,2,2,3] [4,2,2,2]=>[1,1,1,2,2,2,1] [4,2,3,1]=>[1,1,1,2,2,1,2] [4,2,4]=>[1,1,1,2,2,1,1,1] [4,3,1,1,1]=>[1,1,1,2,1,4] [4,3,1,2]=>[1,1,1,2,1,3,1] [4,3,2,1]=>[1,1,1,2,1,2,2] [4,3,3]=>[1,1,1,2,1,2,1,1] [4,4,1,1]=>[1,1,1,2,1,1,3] [4,4,2]=>[1,1,1,2,1,1,2,1] [4,5,1]=>[1,1,1,2,1,1,1,2] [4,6]=>[1,1,1,2,1,1,1,1,1] [5,1,1,1,1,1]=>[1,1,1,1,6] [5,1,1,1,2]=>[1,1,1,1,5,1] [5,1,1,2,1]=>[1,1,1,1,4,2] [5,1,1,3]=>[1,1,1,1,4,1,1] [5,1,2,1,1]=>[1,1,1,1,3,3] [5,1,2,2]=>[1,1,1,1,3,2,1] [5,1,3,1]=>[1,1,1,1,3,1,2] [5,1,4]=>[1,1,1,1,3,1,1,1] [5,2,1,1,1]=>[1,1,1,1,2,4] [5,2,1,2]=>[1,1,1,1,2,3,1] [5,2,2,1]=>[1,1,1,1,2,2,2] [5,2,3]=>[1,1,1,1,2,2,1,1] [5,3,1,1]=>[1,1,1,1,2,1,3] [5,3,2]=>[1,1,1,1,2,1,2,1] [5,4,1]=>[1,1,1,1,2,1,1,2] [5,5]=>[1,1,1,1,2,1,1,1,1] [6,1,1,1,1]=>[1,1,1,1,1,5] [6,1,1,2]=>[1,1,1,1,1,4,1] [6,1,2,1]=>[1,1,1,1,1,3,2] [6,1,3]=>[1,1,1,1,1,3,1,1] [6,2,1,1]=>[1,1,1,1,1,2,3] [6,2,2]=>[1,1,1,1,1,2,2,1] [6,3,1]=>[1,1,1,1,1,2,1,2] [6,4]=>[1,1,1,1,1,2,1,1,1] [7,1,1,1]=>[1,1,1,1,1,1,4] [7,1,2]=>[1,1,1,1,1,1,3,1] [7,2,1]=>[1,1,1,1,1,1,2,2] [7,3]=>[1,1,1,1,1,1,2,1,1] [8,1,1]=>[1,1,1,1,1,1,1,3] [8,2]=>[1,1,1,1,1,1,1,2,1] [9,1]=>[1,1,1,1,1,1,1,1,2] [10]=>[1,1,1,1,1,1,1,1,1,1] [1,2,2,2,2,2]=>[2,2,2,2,2,1] [1,1,1,1,1,6]=>[6,1,1,1,1,1] [1,1,1,1,5,2]=>[5,1,1,1,2,1] [1,1,1,2,1,5]=>[4,3,1,1,1,1] [1,1,1,1,2,5]=>[5,2,1,1,1,1] [1,1,1,4,2,2]=>[4,1,1,2,2,1] [1,1,2,1,1,5]=>[3,4,1,1,1,1] [1,1,2,1,4,2]=>[3,3,1,1,2,1] [1,1,2,2,1,4]=>[3,2,3,1,1,1] [1,1,2,1,2,4]=>[3,3,2,1,1,1] [1,1,1,2,4,2]=>[4,2,1,1,2,1] [1,1,1,3,1,4]=>[4,1,3,1,1,1] [1,1,1,1,3,4]=>[5,1,2,1,1,1] [1,1,1,2,2,4]=>[4,2,2,1,1,1] [1,1,3,2,2,2]=>[3,1,2,2,2,1] [1,2,1,1,1,5]=>[2,5,1,1,1,1] [1,2,1,1,4,2]=>[2,4,1,1,2,1] [1,2,1,2,1,4]=>[2,3,3,1,1,1] [1,2,1,1,2,4]=>[2,4,2,1,1,1] [1,2,1,3,2,2]=>[2,3,1,2,2,1] [1,2,2,1,1,4]=>[2,2,4,1,1,1] [1,2,2,1,3,2]=>[2,2,3,1,2,1] [1,2,2,2,1,3]=>[2,2,2,3,1,1] [1,2,2,1,2,3]=>[2,2,3,2,1,1] [1,2,1,2,3,2]=>[2,3,2,1,2,1] [1,1,1,4,1,3]=>[4,1,1,3,1,1] [1,1,1,1,4,3]=>[5,1,1,2,1,1] [1,2,1,2,2,3]=>[2,3,2,2,1,1] [1,1,2,3,2,2]=>[3,2,1,2,2,1] [1,1,3,1,1,4]=>[3,1,4,1,1,1] [1,1,3,1,3,2]=>[3,1,3,1,2,1] [1,1,3,2,1,3]=>[3,1,2,3,1,1] [1,1,3,1,2,3]=>[3,1,3,2,1,1] [1,1,1,3,3,2]=>[4,1,2,1,2,1] [1,2,1,3,1,3]=>[2,3,1,3,1,1] [1,2,1,1,3,3]=>[2,4,1,2,1,1] [1,1,1,3,2,3]=>[4,1,2,2,1,1] [1,1,2,2,3,2]=>[3,2,2,1,2,1] [1,1,2,3,1,3]=>[3,2,1,3,1,1] [1,1,2,1,3,3]=>[3,3,1,2,1,1] [1,1,1,2,3,3]=>[4,2,1,2,1,1] [1,1,2,2,2,3]=>[3,2,2,2,1,1] [2,2,2,2,2,1]=>[1,2,2,2,2,2] [3,1,2,2,2,1]=>[1,1,3,2,2,2] [2,3,1,2,2,1]=>[1,2,1,3,2,2] [3,2,1,2,2,1]=>[1,1,2,3,2,2] [4,1,1,2,2,1]=>[1,1,1,4,2,2] [2,2,3,1,2,1]=>[1,2,2,1,3,2] [3,1,3,1,2,1]=>[1,1,3,1,3,2] [2,3,2,1,2,1]=>[1,2,1,2,3,2] [3,2,2,1,2,1]=>[1,1,2,2,3,2] [4,1,2,1,2,1]=>[1,1,1,3,3,2] [2,4,1,1,2,1]=>[1,2,1,1,4,2] [3,3,1,1,2,1]=>[1,1,2,1,4,2] [4,2,1,1,2,1]=>[1,1,1,2,4,2] [5,1,1,1,2,1]=>[1,1,1,1,5,2] [2,2,2,3,1,1]=>[1,2,2,2,1,3] [3,1,2,3,1,1]=>[1,1,3,2,1,3] [2,3,1,3,1,1]=>[1,2,1,3,1,3] [3,2,1,3,1,1]=>[1,1,2,3,1,3] [4,1,1,3,1,1]=>[1,1,1,4,1,3] [2,2,3,2,1,1]=>[1,2,2,1,2,3] [3,1,3,2,1,1]=>[1,1,3,1,2,3] [2,3,2,2,1,1]=>[1,2,1,2,2,3] [3,2,2,2,1,1]=>[1,1,2,2,2,3] [4,1,2,2,1,1]=>[1,1,1,3,2,3] [2,4,1,2,1,1]=>[1,2,1,1,3,3] [3,3,1,2,1,1]=>[1,1,2,1,3,3] [4,2,1,2,1,1]=>[1,1,1,2,3,3] [5,1,1,2,1,1]=>[1,1,1,1,4,3] [2,2,4,1,1,1]=>[1,2,2,1,1,4] [3,1,4,1,1,1]=>[1,1,3,1,1,4] [2,3,3,1,1,1]=>[1,2,1,2,1,4] [3,2,3,1,1,1]=>[1,1,2,2,1,4] [4,1,3,1,1,1]=>[1,1,1,3,1,4] [2,4,2,1,1,1]=>[1,2,1,1,2,4] [3,3,2,1,1,1]=>[1,1,2,1,2,4] [4,2,2,1,1,1]=>[1,1,1,2,2,4] [5,1,2,1,1,1]=>[1,1,1,1,3,4] [2,5,1,1,1,1]=>[1,2,1,1,1,5] [3,4,1,1,1,1]=>[1,1,2,1,1,5] [4,3,1,1,1,1]=>[1,1,1,2,1,5] [5,2,1,1,1,1]=>[1,1,1,1,2,5] [6,1,1,1,1,1]=>[1,1,1,1,1,6] [2,1,2,2,2,2]=>[1,3,2,2,2,1] [2,1,2,2,1,3]=>[1,3,2,3,1,1] [3,1,2,2,1,2]=>[1,1,3,2,3,1] [2,1,2,1,3,2]=>[1,3,3,1,2,1] [3,1,2,1,3,1]=>[1,1,3,3,1,2] [2,1,2,1,2,3]=>[1,3,3,2,1,1] [3,1,2,1,2,2]=>[1,1,3,3,2,1] [2,1,2,1,1,4]=>[1,3,4,1,1,1] [3,1,2,1,1,3]=>[1,1,3,4,1,1] [4,1,2,1,1,2]=>[1,1,1,3,4,1] [2,1,1,3,2,2]=>[1,4,1,2,2,1] [3,1,1,3,2,1]=>[1,1,4,1,2,2] [2,1,1,3,1,3]=>[1,4,1,3,1,1] [3,1,1,3,1,2]=>[1,1,4,1,3,1] [2,1,1,2,3,2]=>[1,4,2,1,2,1] [3,1,1,2,3,1]=>[1,1,4,2,1,2] [2,1,1,2,2,3]=>[1,4,2,2,1,1] [3,1,1,2,2,2]=>[1,1,4,2,2,1] [2,1,1,2,1,4]=>[1,4,3,1,1,1] [3,1,1,2,1,3]=>[1,1,4,3,1,1] [4,1,1,2,1,2]=>[1,1,1,4,3,1] [2,1,1,1,4,2]=>[1,5,1,1,2,1] [3,1,1,1,4,1]=>[1,1,5,1,1,2] [2,1,1,1,3,3]=>[1,5,1,2,1,1] [3,1,1,1,3,2]=>[1,1,5,1,2,1] [4,1,1,1,3,1]=>[1,1,1,5,1,2] [2,1,1,1,2,4]=>[1,5,2,1,1,1] [3,1,1,1,2,3]=>[1,1,5,2,1,1] [4,1,1,1,2,2]=>[1,1,1,5,2,1] [2,1,1,1,1,5]=>[1,6,1,1,1,1] [3,1,1,1,1,4]=>[1,1,6,1,1,1] [4,1,1,1,1,3]=>[1,1,1,6,1,1] [5,1,1,1,1,2]=>[1,1,1,1,6,1] [2,2,2,1,3,1]=>[1,2,2,3,1,2] [2,2,1,3,2,1]=>[1,2,3,1,2,2] [2,2,1,2,3,1]=>[1,2,3,2,1,2] [2,2,1,1,4,1]=>[1,2,4,1,1,2] [2,1,3,2,2,1]=>[1,3,1,2,2,2] [2,1,3,1,3,1]=>[1,3,1,3,1,2] [2,1,2,3,2,1]=>[1,3,2,1,2,2] [2,1,2,2,3,1]=>[1,3,2,2,1,2] [2,1,2,1,4,1]=>[1,3,3,1,1,2] [2,1,1,4,2,1]=>[1,4,1,1,2,2] [2,1,1,3,3,1]=>[1,4,1,2,1,2] [2,1,1,2,4,1]=>[1,4,2,1,1,2] [2,1,1,1,5,1]=>[1,5,1,1,1,2] [1,3,2,2,2,1]=>[2,1,2,2,2,2] [1,3,2,1,3,1]=>[2,1,2,3,1,2] [1,3,1,3,2,1]=>[2,1,3,1,2,2] [1,3,1,2,3,1]=>[2,1,3,2,1,2] [1,3,1,1,4,1]=>[2,1,4,1,1,2] [1,2,3,2,2,1]=>[2,2,1,2,2,2] [1,2,3,1,3,1]=>[2,2,1,3,1,2] [1,2,2,3,2,1]=>[2,2,2,1,2,2] [1,2,2,2,3,1]=>[2,2,2,2,1,2] [1,2,2,1,4,1]=>[2,2,3,1,1,2] [1,2,1,4,2,1]=>[2,3,1,1,2,2] [1,2,1,3,3,1]=>[2,3,1,2,1,2] [1,2,1,2,4,1]=>[2,3,2,1,1,2] [1,2,1,1,5,1]=>[2,4,1,1,1,2] [1,1,4,2,2,1]=>[3,1,1,2,2,2] [1,1,4,1,3,1]=>[3,1,1,3,1,2] [1,1,3,3,2,1]=>[3,1,2,1,2,2] [1,1,3,2,3,1]=>[3,1,2,2,1,2] [1,1,3,1,4,1]=>[3,1,3,1,1,2] [1,1,2,4,2,1]=>[3,2,1,1,2,2] [1,1,2,3,3,1]=>[3,2,1,2,1,2] [1,1,2,2,4,1]=>[3,2,2,1,1,2] [1,1,2,1,5,1]=>[3,3,1,1,1,2] [1,1,1,5,2,1]=>[4,1,1,1,2,2] [1,1,1,4,3,1]=>[4,1,1,2,1,2] [1,1,1,3,4,1]=>[4,1,2,1,1,2] [1,1,1,2,5,1]=>[4,2,1,1,1,2] [1,1,1,1,6,1]=>[5,1,1,1,1,2] [2,2,1,2,2,2]=>[1,2,3,2,2,1] [1,3,1,2,1,3]=>[2,1,3,3,1,1] [2,2,1,2,1,3]=>[1,2,3,3,1,1] [3,2,1,2,1,2]=>[1,1,2,3,3,1] [2,2,1,1,3,2]=>[1,2,4,1,2,1] [1,3,1,1,2,3]=>[2,1,4,2,1,1] [2,2,1,1,2,3]=>[1,2,4,2,1,1] [2,3,1,1,2,2]=>[1,2,1,4,2,1] [3,2,1,1,2,2]=>[1,1,2,4,2,1] [1,3,1,1,1,4]=>[2,1,5,1,1,1] [2,2,1,1,1,4]=>[1,2,5,1,1,1] [1,4,1,1,1,3]=>[2,1,1,5,1,1] [2,3,1,1,1,3]=>[1,2,1,5,1,1] [3,2,1,1,1,3]=>[1,1,2,5,1,1] [2,2,2,2,1,2]=>[1,2,2,2,3,1] [2,2,2,1,2,2]=>[1,2,2,3,2,1] [2,2,2,1,1,3]=>[1,2,2,4,1,1] [2,2,1,3,1,2]=>[1,2,3,1,3,1] [2,1,3,2,1,2]=>[1,3,1,2,3,1] [2,1,3,1,2,2]=>[1,3,1,3,2,1] [2,1,3,1,1,3]=>[1,3,1,4,1,1] [2,1,2,3,1,2]=>[1,3,2,1,3,1] [2,1,1,4,1,2]=>[1,4,1,1,3,1] [1,1,1,1,1,1,1,1,1,1,1]=>[11] [1,1,1,1,1,1,1,3,1]=>[8,1,2] [1,1,1,1,1,3,1,1,1]=>[6,1,4] [1,1,1,1,1,5,1]=>[6,1,1,1,2] [1,1,1,1,1,2,1,2,1]=>[6,3,2] [1,1,1,3,1,1,1,1,1]=>[4,1,6] [1,1,1,3,1,3,1]=>[4,1,3,1,2] [1,1,1,5,1,1,1]=>[4,1,1,1,4] [1,1,1,7,1]=>[4,1,1,1,1,1,2] [1,1,1,4,1,2,1]=>[4,1,1,3,2] [1,1,1,2,1,2,1,1,1]=>[4,3,4] [1,1,1,2,1,4,1]=>[4,3,1,1,2] [1,1,1,2,1,1,1,2,1]=>[4,5,2] [1,1,1,2,3,2,1]=>[4,2,1,2,2] [1,3,1,1,1,1,1,1,1]=>[2,1,8] [1,3,1,1,1,3,1]=>[2,1,5,1,2] [1,3,1,3,1,1,1]=>[2,1,3,1,4] [1,3,1,5,1]=>[2,1,3,1,1,1,2] [1,3,1,2,1,2,1]=>[2,1,3,3,2] [1,5,1,1,1,1,1]=>[2,1,1,1,6] [1,5,1,3,1]=>[2,1,1,1,3,1,2] [1,7,1,1,1]=>[2,1,1,1,1,1,4] [1,9,1]=>[2,1,1,1,1,1,1,1,2] [1,6,1,2,1]=>[2,1,1,1,1,3,2] [1,4,1,2,1,1,1]=>[2,1,1,3,4] [1,4,1,4,1]=>[2,1,1,3,1,1,2] [1,4,1,1,1,2,1]=>[2,1,1,5,2] [1,4,3,2,1]=>[2,1,1,2,1,2,2] [1,2,1,2,1,1,1,1,1]=>[2,3,6] [1,2,1,2,1,3,1]=>[2,3,3,1,2] [1,2,1,4,1,1,1]=>[2,3,1,1,4] [1,2,1,6,1]=>[2,3,1,1,1,1,2] [1,2,1,3,1,2,1]=>[2,3,1,3,2] [1,2,1,1,1,2,1,1,1]=>[2,5,4] [1,2,1,1,1,4,1]=>[2,5,1,1,2] [1,2,1,1,1,1,1,2,1]=>[2,7,2] [1,2,1,1,3,2,1]=>[2,4,1,2,2] [1,2,3,2,1,1,1]=>[2,2,1,2,4] [1,2,3,4,1]=>[2,2,1,2,1,1,2] [1,2,3,1,1,2,1]=>[2,2,1,4,2] [1,2,5,2,1]=>[2,2,1,1,1,2,2] [1,2,2,1,2,2,1]=>[2,2,3,2,2] [1,1,1,1,1,2,1,1,1,1]=>[6,5] [10,1]=>[1,1,1,1,1,1,1,1,1,2] [1,10]=>[2,1,1,1,1,1,1,1,1,1] [1,8,1,1]=>[2,1,1,1,1,1,1,3] [1,7,2,1]=>[2,1,1,1,1,1,2,2] [1,6,3,1]=>[2,1,1,1,1,2,1,2] [1,5,4,1]=>[2,1,1,1,2,1,1,2] [1,4,5,1]=>[2,1,1,2,1,1,1,2] [1,3,6,1]=>[2,1,2,1,1,1,1,2] [1,2,7,1]=>[2,2,1,1,1,1,1,2] [1,1,8,1]=>[3,1,1,1,1,1,1,2] [1,8,2]=>[2,1,1,1,1,1,1,2,1] [1,7,1,2]=>[2,1,1,1,1,1,3,1] [1,6,1,1,2]=>[2,1,1,1,1,4,1] [1,5,1,1,1,2]=>[2,1,1,1,5,1] [1,4,1,1,1,1,2]=>[2,1,1,6,1] [1,3,1,1,1,1,1,2]=>[2,1,7,1] [1,2,1,1,1,1,1,1,2]=>[2,8,1] [1,1,1,1,1,1,1,1,1,2]=>[10,1] [1,7,3]=>[2,1,1,1,1,1,2,1,1] [1,6,2,2]=>[2,1,1,1,1,2,2,1] [1,5,2,1,2]=>[2,1,1,1,2,3,1] [1,4,2,1,1,2]=>[2,1,1,2,4,1] [1,3,2,1,1,1,2]=>[2,1,2,5,1] [1,2,2,1,1,1,1,2]=>[2,2,6,1] [1,1,2,1,1,1,1,1,2]=>[3,7,1] [2,1,1,1,1,1,1,1,1,1]=>[1,10] [2,9]=>[1,2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,3]=>[9,1,1] [1,1,1,1,1,1,1,1,2,1]=>[9,2] [11]=>[1,1,1,1,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,1,1]=>[1,1,9] [9,2]=>[1,1,1,1,1,1,1,1,2,1] [3,1,1,1,1,1,1,2]=>[1,1,8,1] [2,2,1,1,1,1,1,2]=>[1,2,7,1] [2,1,2,1,1,1,1,2]=>[1,3,6,1] [2,1,1,2,1,1,1,2]=>[1,4,5,1] [2,1,1,1,2,1,1,2]=>[1,5,4,1] [2,1,1,1,1,2,1,2]=>[1,6,3,1] [2,1,1,1,1,1,2,2]=>[1,7,2,1] [2,1,1,1,1,1,1,3]=>[1,8,1,1] [1,1,1,8]=>[4,1,1,1,1,1,1,1] [1,1,2,7]=>[3,2,1,1,1,1,1,1] [1,1,3,6]=>[3,1,2,1,1,1,1,1] [1,1,4,5]=>[3,1,1,2,1,1,1,1] [1,1,5,4]=>[3,1,1,1,2,1,1,1] [1,1,6,3]=>[3,1,1,1,1,2,1,1] [1,1,7,2]=>[3,1,1,1,1,1,2,1] [2,7,1,1]=>[1,2,1,1,1,1,1,3] [3,6,1,1]=>[1,1,2,1,1,1,1,3] [4,5,1,1]=>[1,1,1,2,1,1,1,3] [5,4,1,1]=>[1,1,1,1,2,1,1,3] [6,3,1,1]=>[1,1,1,1,1,2,1,3] [7,2,1,1]=>[1,1,1,1,1,1,2,3] [8,1,1,1]=>[1,1,1,1,1,1,1,4] [2,1,1,1,1,1,1,2,1]=>[1,8,2] [2,1,1,1,1,1,3,1]=>[1,7,1,2] [2,1,1,1,1,4,1]=>[1,6,1,1,2] [2,1,1,6,1]=>[1,4,1,1,1,1,2] [2,1,7,1]=>[1,3,1,1,1,1,1,2] [2,8,1]=>[1,2,1,1,1,1,1,1,2] [2,1,1,1,1,1,2,1,1]=>[1,7,3] [2,1,1,1,1,2,2,1]=>[1,6,2,2] [2,1,1,1,2,3,1]=>[1,5,2,1,2] [2,1,2,5,1]=>[1,3,2,1,1,1,2] [2,2,6,1]=>[1,2,2,1,1,1,1,2] [3,7,1]=>[1,1,2,1,1,1,1,1,2] [2,1,2,1,1,1,1,1,1]=>[1,3,7] [2,1,3,1,1,1,1,1]=>[1,3,1,6] [2,1,4,1,1,1,1]=>[1,3,1,1,5] [2,1,5,1,1,1]=>[1,3,1,1,1,4] [2,1,6,1,1]=>[1,3,1,1,1,1,3] [2,1,8]=>[1,3,1,1,1,1,1,1,1] [2,1,1,2,1,1,1,1,1]=>[1,4,6] [2,1,2,2,1,1,1,1]=>[1,3,2,5] [2,1,3,2,1,1,1]=>[1,3,1,2,4] [2,1,4,2,1,1]=>[1,3,1,1,2,3] [2,1,5,2,1]=>[1,3,1,1,1,2,2] [2,1,6,2]=>[1,3,1,1,1,1,2,1] [3,1,7]=>[1,1,3,1,1,1,1,1,1] [3,1,1,1,1,1,2,1]=>[1,1,7,2] [4,1,1,1,1,2,1]=>[1,1,1,6,2] [6,1,1,2,1]=>[1,1,1,1,1,4,2] [7,1,2,1]=>[1,1,1,1,1,1,3,2] [8,2,1]=>[1,1,1,1,1,1,1,2,2] [2,2,1,1,1,1,2,1]=>[1,2,6,2] [3,2,1,1,1,2,1]=>[1,1,2,5,2] [5,2,1,2,1]=>[1,1,1,1,2,3,2] [6,2,2,1]=>[1,1,1,1,1,2,2,2] [7,3,1]=>[1,1,1,1,1,1,2,1,2] [1,4,1,1,3,1]=>[2,1,1,4,1,2] [1,5,1,1,2,1]=>[2,1,1,1,4,2] [1,6,1,1,1,1]=>[2,1,1,1,1,5] [9,1,1]=>[1,1,1,1,1,1,1,1,3] [1,1,1,2,1,1,1,1,2]=>[4,6,1] [1,1,1,3,1,1,1,2]=>[4,1,5,1] [1,1,2,3,1,1,2]=>[3,2,1,4,1] [1,1,3,3,1,2]=>[3,1,2,1,3,1] [1,1,4,3,2]=>[3,1,1,2,1,2,1] [2,6,3]=>[1,2,1,1,1,1,2,1,1] [1,1,9]=>[3,1,1,1,1,1,1,1,1] [2,2,1,1,1,1,1,1,1]=>[1,2,8] [2,3,1,1,1,1,1,1]=>[1,2,1,7] [2,4,1,1,1,1,1]=>[1,2,1,1,6] [2,6,1,1,1]=>[1,2,1,1,1,1,4] [2,2,2,1,1,1,1,1]=>[1,2,2,6] [2,3,2,1,1,1,1]=>[1,2,1,2,5] [2,5,2,1,1]=>[1,2,1,1,1,2,3] [2,6,2,1]=>[1,2,1,1,1,1,2,2] [2,7,2]=>[1,2,1,1,1,1,1,2,1] [1,2,2,2,2,1,1]=>[2,2,2,2,3] [1,1,1,2,2,2,1,1]=>[4,2,2,3] [1,1,3,2,2,1,1]=>[3,1,2,2,3] [1,1,2,1,2,2,1,1]=>[3,3,2,3] [1,1,2,3,2,1,1]=>[3,2,1,2,3] [1,1,2,2,1,2,1,1]=>[3,2,3,3] [1,1,2,2,3,1,1]=>[3,2,2,1,3] [1,1,2,2,2,1,1,1]=>[3,2,2,4] [1,1,2,2,2,2,1]=>[3,2,2,2,2] [1,4,2,2,1,1]=>[2,1,1,2,2,3] [1,1,1,1,1,2,2,1,1]=>[6,2,3] [1,1,5,2,1,1]=>[3,1,1,1,2,3] [1,1,2,1,1,1,2,1,1]=>[3,5,3] [1,1,2,5,1,1]=>[3,2,1,1,1,3] [1,1,2,2,1,1,1,1,1]=>[3,2,6] [1,2,1,1,1,1,1,1,1,1]=>[2,9] [2,2,2,2,3]=>[1,2,2,2,2,1,1] [3,2,2,2,2]=>[1,1,2,2,2,2,1] [2,1,1,1,1,1,1,1,2]=>[1,9,1] [8,1,2]=>[1,1,1,1,1,1,1,3,1] [2,2,3,2,2]=>[1,2,2,1,2,2,1] [2,3,2,2,2]=>[1,2,1,2,2,2,1] [1,1,1,1,2,1,1,1,1,1]=>[5,6] [8,3]=>[1,1,1,1,1,1,1,2,1,1] [4,2,2,2,1]=>[1,1,1,2,2,2,2] [1,1,1,1,1,1,1,2,1,1]=>[8,3] [4,4,3]=>[1,1,1,2,1,1,2,1,1] [2,1,1,1,2,1,1,1,1]=>[1,5,5] [1,1,1,1,1,1,2,1,1,1]=>[7,4] [4,1,5,1]=>[1,1,1,3,1,1,1,2] [1,5,1,4]=>[2,1,1,1,3,1,1,1] [1,4,1,2,1,2]=>[2,1,1,3,3,1] [3,1,5,1,1]=>[1,1,3,1,1,1,3] [1,4,1,3,1,1]=>[2,1,1,3,1,3] [1,1,5,1,3]=>[3,1,1,1,3,1,1] [2,1,1,1,2,1,2,1]=>[1,5,3,2] [1,1,2,1,1,1,3,1]=>[3,5,1,2] [2,1,1,1,4,1,1]=>[1,5,1,1,3] [1,3,1,1,1,2,1,1]=>[2,1,5,3] [2,1,5,1,2]=>[1,3,1,1,1,3,1] [1,3,1,3,1,2]=>[2,1,3,1,3,1] [1,1,4,1,1,1,2]=>[3,1,1,5,1] [1,2,1,2,1,1,1,2]=>[2,3,5,1] [2,1,1,1,3,1,1,1]=>[1,5,1,4] [2,1,2,1,1,1,2,1]=>[1,3,5,2] [1,1,2,1,2,1,2,1]=>[3,3,3,2] [1,1,1,1,2,1,3,1]=>[5,3,1,2] [2,1,2,1,3,1,1]=>[1,3,3,1,3] [1,1,2,1,4,1,1]=>[3,3,1,1,3] [1,3,1,2,1,1,1,1]=>[2,1,3,5] [1,1,4,1,2,1,1]=>[3,1,1,3,3] [1,2,1,2,1,2,1,1]=>[2,3,3,3] [1,1,1,1,4,1,2]=>[5,1,1,3,1] [1,1,3,1,2,1,2]=>[3,1,3,3,1] [1,2,1,1,1,2,1,2]=>[2,5,3,1] [7,1,1,2]=>[1,1,1,1,1,1,4,1] [1,1,1,1,1,3,1,2]=>[6,1,3,1] [1,1,1,1,1,1,2,1,2]=>[7,3,1] [1,1,3,1,1,1,1,1,1]=>[3,1,7] [1,1,1,1,1,1,3,1,1]=>[7,1,3] [6,4,1]=>[1,1,1,1,1,2,1,1,2] [1,2,1,3,1,1,1,1]=>[2,3,1,5] [2,1,2,1,5]=>[1,3,3,1,1,1,1] [2,1,1,1,2,1,3]=>[1,5,3,1,1] [6,2,1,2]=>[1,1,1,1,1,2,3,1] [1,1,1,1,2,1,1,1,2]=>[5,5,1] [4,6,1]=>[1,1,1,2,1,1,1,1,2] [2,1,1,4,3]=>[1,4,1,1,2,1,1] [1,1,3,1,1,1,2,1]=>[3,1,5,2] [6,1,1,1,2]=>[1,1,1,1,1,5,1] [4,1,1,1,1,1,2]=>[1,1,1,7,1] [7,2,2]=>[1,1,1,1,1,1,2,2,1] [5,2,1,1,2]=>[1,1,1,1,2,4,1] [4,2,1,1,1,2]=>[1,1,1,2,5,1] [3,2,1,1,1,1,2]=>[1,1,2,6,1] [3,2,2,1,3]=>[1,1,2,2,3,1,1] [3,2,1,2,3]=>[1,1,2,3,2,1,1] [3,1,2,2,3]=>[1,1,3,2,2,1,1] [5,3,1,1,1]=>[1,1,1,1,2,1,4] [4,4,1,1,1]=>[1,1,1,2,1,1,4] [5,2,2,2]=>[1,1,1,1,2,2,2,1] [2,2,2,1,4]=>[1,2,2,3,1,1,1] [2,2,1,2,4]=>[1,2,3,2,1,1,1] [2,1,2,2,4]=>[1,3,2,2,1,1,1] [4,3,2,2]=>[1,1,1,2,1,2,2,1] [1,2,2,3,1,2]=>[2,2,2,1,3,1] [1,2,3,1,2,2]=>[2,2,1,3,2,1] [1,2,3,2,1,2]=>[2,2,1,2,3,1] [1,2,4,1,1,2]=>[2,2,1,1,4,1] [1,3,1,2,2,2]=>[2,1,3,2,2,1] [1,3,2,1,2,2]=>[2,1,2,3,2,1] [1,3,2,2,1,2]=>[2,1,2,2,3,1] [1,3,3,1,1,2]=>[2,1,2,1,4,1] [1,4,1,1,2,2]=>[2,1,1,4,2,1] [5,4,2]=>[1,1,1,1,2,1,1,2,1] [5,3,3]=>[1,1,1,1,2,1,2,1,1] [5,3,2,1]=>[1,1,1,1,2,1,2,2] [5,2,2,1,1]=>[1,1,1,1,2,2,3] [4,4,2,1]=>[1,1,1,2,1,1,2,2] [4,3,3,1]=>[1,1,1,2,1,2,1,2] [4,3,2,1,1]=>[1,1,1,2,1,2,3] [3,3,3,2]=>[1,1,2,1,2,1,2,1] [3,3,3,1,1]=>[1,1,2,1,2,1,3] [3,3,2,2,1]=>[1,1,2,1,2,2,2] [2,1,2,1,2,1,1,1]=>[1,3,3,4] [3,1,2,1,2,1,1]=>[1,1,3,3,3] [3,1,3,1,1,1,1]=>[1,1,3,1,5] [4,1,3,1,2]=>[1,1,1,3,1,3,1] [1,1,1,2,1,2,1,2]=>[4,3,3,1] [1,1,2,1,2,1,3]=>[3,3,3,1,1] [1,1,1,1,3,1,3]=>[5,1,3,1,1] [2,1,3,1,4]=>[1,3,1,3,1,1,1] [2,1,4,1,2,1]=>[1,3,1,1,3,2] [1,1,1,1,3,1,1,1,1]=>[5,1,5] [1,1,2,1,2,1,1,1,1]=>[3,3,5] [1,1,3,1,3,1,1]=>[3,1,3,1,3] [1,1,1,1,2,1,2,1,1]=>[5,3,3] [3,2,1,1,4]=>[1,1,2,4,1,1,1] [2,2,1,1,5]=>[1,2,4,1,1,1,1] [4,1,1,1,4]=>[1,1,1,5,1,1,1] [3,1,1,1,5]=>[1,1,5,1,1,1,1] [1,1,2,1,1,1,1,1,1,1]=>[3,8] [1,1,3,1,2,1,1,1]=>[3,1,3,4] [1,1,2,1,3,1,1,1]=>[3,3,1,4] [1,1,1,1,3,1,2,1]=>[5,1,3,2] [2,1,3,1,2,1,1]=>[1,3,1,3,3] [1,1,1,2,1,3,1,1]=>[4,3,1,3] [1,2,1,1,1,3,1,1]=>[2,5,1,3] [1,3,1,4,1,1]=>[2,1,3,1,1,3] [1,1,1,2,1,1,1,1,1,1]=>[4,7] [1,1,1,3,1,2,1,1]=>[4,1,3,3] [3,1,1,1,3,1,1]=>[1,1,5,1,3] [4,1,4,1,1]=>[1,1,1,3,1,1,3] [1,1,2,1,3,1,2]=>[3,3,1,3,1] [1,2,1,4,1,2]=>[2,3,1,1,3,1] [2,1,2,1,2,1,2]=>[1,3,3,3,1] [2,1,1,1,3,1,2]=>[1,5,1,3,1] [3,1,4,1,2]=>[1,1,3,1,1,3,1] [2,1,3,1,1,1,2]=>[1,3,1,5,1] [3,1,2,1,1,1,2]=>[1,1,3,5,1] [3,1,1,1,2,1,2]=>[1,1,5,3,1] [2,1,4,1,3]=>[1,3,1,1,3,1,1] [3,1,3,1,3]=>[1,1,3,1,3,1,1] [1,1,3,1,1,1,3]=>[3,1,5,1,1] [2,1,2,1,1,1,3]=>[1,3,5,1,1] [3,1,1,1,1,1,3]=>[1,1,7,1,1] [4,1,2,1,3]=>[1,1,1,3,3,1,1] [1,1,4,1,4]=>[3,1,1,3,1,1,1] [3,1,2,1,4]=>[1,1,3,3,1,1,1] [5,1,5]=>[1,1,1,1,3,1,1,1,1] [2,1,1,1,6]=>[1,5,1,1,1,1,1] [2,3,1,3,2]=>[1,2,1,3,1,2,1] [2,1,3,3,2]=>[1,3,1,2,1,2,1] [3,1,1,3,3]=>[1,1,4,1,2,1,1] [5,5,1]=>[1,1,1,1,2,1,1,1,2] [2,1,3,2,3]=>[1,3,1,2,2,1,1] [2,2,3,1,3]=>[1,2,2,1,3,1,1] [2,1,1,2,5]=>[1,4,2,1,1,1,1] [3,1,1,2,4]=>[1,1,4,2,1,1,1] [2,1,1,3,4]=>[1,4,1,2,1,1,1] [2,1,1,5,2]=>[1,4,1,1,1,2,1] [2,3,1,1,4]=>[1,2,1,4,1,1,1] [2,2,1,4,2]=>[1,2,3,1,1,2,1] [3,2,1,3,2]=>[1,1,2,3,1,2,1] [3,1,3,2,2]=>[1,1,3,1,2,2,1] [3,1,2,3,2]=>[1,1,3,2,1,2,1] [3,1,1,4,2]=>[1,1,4,1,1,2,1] [2,3,2,1,3]=>[1,2,1,2,3,1,1] [2,3,1,2,3]=>[1,2,1,3,2,1,1] [2,2,2,3,2]=>[1,2,2,2,1,2,1] [2,2,1,3,3]=>[1,2,3,1,2,1,1] [2,1,4,2,2]=>[1,3,1,1,2,2,1] [2,1,2,4,2]=>[1,3,2,1,1,2,1] [2,1,2,3,3]=>[1,3,2,1,2,1,1] [5,5,1,1]=>[1,1,1,1,2,1,1,1,3] [1,1,5,5]=>[3,1,1,1,2,1,1,1,1] [1,11]=>[2,1,1,1,1,1,1,1,1,1,1] [1,9,2]=>[2,1,1,1,1,1,1,1,2,1] [1,8,1,2]=>[2,1,1,1,1,1,1,3,1] [1,7,1,1,2]=>[2,1,1,1,1,1,4,1] [1,6,1,1,1,2]=>[2,1,1,1,1,5,1] [1,5,1,1,1,1,2]=>[2,1,1,1,6,1] [1,4,1,1,1,1,1,2]=>[2,1,1,7,1] [1,3,1,1,1,1,1,1,2]=>[2,1,8,1] [1,2,1,1,1,1,1,1,1,2]=>[2,9,1] [1,1,1,1,1,1,1,1,1,1,2]=>[11,1] [1,1,4,1,1,4]=>[3,1,1,4,1,1,1] [4,1,1,4,1,1]=>[1,1,1,4,1,1,3] [1,1,3,1,2,4]=>[3,1,3,2,1,1,1] [1,1,4,2,1,3]=>[3,1,1,2,3,1,1] [3,1,2,4,1,1]=>[1,1,3,2,1,1,3] [4,2,1,3,1,1]=>[1,1,1,2,3,1,3] [1,1,2,1,3,4]=>[3,3,1,2,1,1,1] [1,1,3,1,1,1,1,3]=>[3,1,6,1,1] [1,1,4,3,1,2]=>[3,1,1,2,1,3,1] [2,2,4,4]=>[1,2,2,1,1,2,1,1,1] [2,1,3,4,1,1]=>[1,3,1,2,1,1,3] [3,1,1,1,1,3,1,1]=>[1,1,6,1,3] [4,4,2,2]=>[1,1,1,2,1,1,2,2,1] [4,3,1,2,1,1]=>[1,1,1,2,1,3,3] [1,1,1,1,4,4]=>[5,1,1,2,1,1,1] [1,1,2,1,2,1,1,3]=>[3,3,4,1,1] [1,1,3,2,2,3]=>[3,1,2,2,2,1,1] [1,1,3,1,1,2,1,2]=>[3,1,4,3,1] [1,1,4,4,1,1]=>[3,1,1,2,1,1,3] [2,2,3,1,1,3]=>[1,2,2,1,4,1,1] [2,1,2,1,1,3,1,1]=>[1,3,4,1,3] [3,3,3,3]=>[1,1,2,1,2,1,2,1,1] [3,2,2,3,1,1]=>[1,1,2,2,2,1,3] [3,1,1,3,2,2]=>[1,1,4,1,2,2,1] [3,1,1,2,1,2,1,1]=>[1,1,4,3,3] [4,4,1,1,1,1]=>[1,1,1,2,1,1,5] [1,1,1,1,3,1,1,3]=>[5,1,4,1,1] [1,1,2,1,1,1,2,3]=>[3,5,2,1,1] [1,1,2,1,2,2,1,2]=>[3,3,2,3,1] [1,1,3,2,1,1,1,2]=>[3,1,2,5,1] [1,1,3,1,1,3,1,1]=>[3,1,4,1,3] [2,2,2,1,2,3]=>[1,2,2,3,2,1,1] [2,2,3,2,1,2]=>[1,2,2,1,2,3,1] [2,1,1,2,3,3]=>[1,4,2,1,2,1,1] [2,1,1,1,2,3,1,1]=>[1,5,2,1,3] [2,1,2,3,2,2]=>[1,3,2,1,2,2,1] [2,1,2,2,1,2,1,1]=>[1,3,2,3,3] [3,3,2,1,1,2]=>[1,1,2,1,2,4,1] [3,2,1,2,2,2]=>[1,1,2,3,2,2,1] [3,2,1,1,1,2,1,1]=>[1,1,2,5,3] [3,1,1,3,1,1,1,1]=>[1,1,4,1,5] [2,1,1,1,1,1,1,1,1,1,1]=>[1,11] [2,1,1,1,1,1,1,1,2,1]=>[1,9,2] [2,1,1,1,1,1,1,3,1]=>[1,8,1,2] [2,1,1,1,1,1,4,1]=>[1,7,1,1,2] [2,1,1,1,1,5,1]=>[1,6,1,1,1,2] [2,1,1,1,6,1]=>[1,5,1,1,1,1,2] [2,1,1,7,1]=>[1,4,1,1,1,1,1,2] [2,1,8,1]=>[1,3,1,1,1,1,1,1,2] [2,9,1]=>[1,2,1,1,1,1,1,1,1,2] [11,1]=>[1,1,1,1,1,1,1,1,1,1,2] [2,1,2,1,1,1,1,1,1,1]=>[1,3,8] [2,1,3,1,1,1,1,1,1]=>[1,3,1,7] [2,1,4,1,1,1,1,1]=>[1,3,1,1,6] [2,1,5,1,1,1,1]=>[1,3,1,1,1,5] [2,1,6,1,1,1]=>[1,3,1,1,1,1,4] [2,1,7,1,1]=>[1,3,1,1,1,1,1,3] [2,1,9]=>[1,3,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,2,1]=>[10,2] [3,1,1,1,1,1,1,2,1]=>[1,1,8,2] [4,1,1,1,1,1,2,1]=>[1,1,1,7,2] [5,1,1,1,1,2,1]=>[1,1,1,1,6,2] [6,1,1,1,2,1]=>[1,1,1,1,1,5,2] [7,1,1,2,1]=>[1,1,1,1,1,1,4,2] [8,1,2,1]=>[1,1,1,1,1,1,1,3,2] [9,2,1]=>[1,1,1,1,1,1,1,1,2,2] [1,1,2,1,1,1,1,1,1,2]=>[3,8,1] [1,2,2,1,1,1,1,1,2]=>[2,2,7,1] [1,3,2,1,1,1,1,2]=>[2,1,2,6,1] [1,4,2,1,1,1,2]=>[2,1,1,2,5,1] [1,5,2,1,1,2]=>[2,1,1,1,2,4,1] [1,6,2,1,2]=>[2,1,1,1,1,2,3,1] [1,7,2,2]=>[2,1,1,1,1,1,2,2,1] [1,8,3]=>[2,1,1,1,1,1,1,2,1,1] [10,2]=>[1,1,1,1,1,1,1,1,1,2,1] [2,2,1,1,1,1,1,1,1,1]=>[1,2,9] [2,3,1,1,1,1,1,1,1]=>[1,2,1,8] [2,4,1,1,1,1,1,1]=>[1,2,1,1,7] [2,5,1,1,1,1,1]=>[1,2,1,1,1,6] [2,6,1,1,1,1]=>[1,2,1,1,1,1,5] [2,7,1,1,1]=>[1,2,1,1,1,1,1,4] [2,8,1,1]=>[1,2,1,1,1,1,1,1,3] [2,10]=>[1,2,1,1,1,1,1,1,1,1,1] [1,2,2,2,2,3]=>[2,2,2,2,2,1,1] [1,1,1,2,2,2,3]=>[4,2,2,2,1,1] [1,1,2,1,2,2,3]=>[3,3,2,2,1,1] [1,1,2,3,2,3]=>[3,2,1,2,2,1,1] [1,1,2,2,1,2,3]=>[3,2,3,2,1,1] [1,1,2,2,3,3]=>[3,2,2,1,2,1,1] [1,1,2,2,2,1,3]=>[3,2,2,3,1,1] [1,1,2,2,2,4]=>[3,2,2,2,1,1,1] [1,1,2,2,2,2,2]=>[3,2,2,2,2,1] [1,1,1,1,1,1,2,1,1,2]=>[7,4,1] [1,1,1,1,1,1,1,1,2,2]=>[9,2,1] [2,2,1,1,2,1,1,2]=>[1,2,4,4,1] [2,2,1,1,1,1,2,2]=>[1,2,6,2,1] [2,1,1,2,2,1,1,2]=>[1,4,2,4,1] [1,1,2,2,2,1,1,2]=>[3,2,2,4,1] [2,1,1,2,1,1,2,2]=>[1,4,4,2,1] [1,1,2,2,1,1,2,2]=>[3,2,4,2,1] [1,1,1,1,3,2,1,2]=>[5,1,2,3,1] [1,1,2,1,1,2,2,2]=>[3,4,2,2,1] [3,3,1,1,2,2]=>[1,1,2,1,4,2,1] [1,1,1,1,2,1,1,1,1,2]=>[5,6,1] [1,1,1,1,2,2,2,2]=>[5,2,2,2,1] [3,2,2,2,1,2]=>[1,1,2,2,2,3,1] [2,1,1,1,2,2,1,2]=>[1,5,2,3,1] [1,1,1,1,2,1,2,3]=>[5,3,2,1,1] [3,2,1,1,1,1,1,2]=>[1,1,2,7,1] [2,1,1,1,1,1,1,1,1,2]=>[1,10,1] [2,1,1,1,1,2,2,2]=>[1,6,2,2,1] [2,2,2,1,1,1,1,2]=>[1,2,2,6,1] [2,2,2,2,2,2]=>[1,2,2,2,2,2,1] [1,1,1,1,1,1,3,3]=>[7,1,2,1,1] [3,1,2,3,1,2]=>[1,1,3,2,1,3,1] [2,1,3,3,1,2]=>[1,3,1,2,1,3,1] [3,1,1,1,1,2,1,2]=>[1,1,6,3,1] [2,1,2,1,1,2,1,2]=>[1,3,4,3,1] [3,1,1,2,1,1,1,2]=>[1,1,4,5,1] [2,1,2,2,1,1,1,2]=>[1,3,2,5,1] [1,1,3,3,2,2]=>[3,1,2,1,2,2,1] [2,2,1,1,3,3]=>[1,2,4,1,2,1,1] [3,3,1,1,1,1,1,1]=>[1,1,2,1,7] [2,1,2,3,1,1,1,1]=>[1,3,2,1,5] [1,1,3,3,1,1,1,1]=>[3,1,2,1,5] [2,2,3,3,1,1]=>[1,2,2,1,2,1,3] [1,1,1,1,3,3,1,1]=>[5,1,2,1,3] [3,1,1,1,1,1,1,3]=>[1,1,8,1,1] [3,1,1,2,2,3]=>[1,1,4,2,2,1,1] [3,2,1,1,2,3]=>[1,1,2,4,2,1,1] [2,1,1,1,1,1,2,3]=>[1,7,2,1,1] [1,1,2,1,2,3,1,1]=>[3,3,2,1,3] [4,2,1,1,1,3]=>[1,1,1,2,5,1,1] [3,2,2,1,1,3]=>[1,1,2,2,4,1,1] [4,2,1,2,1,2]=>[1,1,1,2,3,3,1] [2,1,2,2,2,3]=>[1,3,2,2,2,1,1] [4,3,1,1,1,2]=>[1,1,1,2,1,5,1] [3,3,2,2,1,1]=>[1,1,2,1,2,2,3] [1,1,2,2,2,2,1,1]=>[3,2,2,2,3] [2,2,1,1,2,2,1,1]=>[1,2,4,2,3] [2,1,1,1,2,1,1,3]=>[1,5,4,1,1] [2,2,2,2,1,1,1,1]=>[1,2,2,2,5] [2,1,1,2,1,1,1,1,1,1]=>[1,4,7] [2,1,1,1,3,4]=>[1,5,1,2,1,1,1] [2,1,1,1,1,1,1,2,1,1]=>[1,8,3] [2,1,2,1,1,1,1,3]=>[1,3,6,1,1] [2,2,2,1,1,2,1,1]=>[1,2,2,4,3] [2,1,1,1,1,2,1,1,1,1]=>[1,6,5] [2,1,2,1,2,4]=>[1,3,3,2,1,1,1] [2,1,1,2,2,2,1,1]=>[1,4,2,2,3] [2,1,3,2,1,3]=>[1,3,1,2,3,1,1] [2,1,3,1,1,4]=>[1,3,1,4,1,1,1] [3,1,1,1,2,4]=>[1,1,5,2,1,1,1] [1,1,2,1,1,2,1,1,1,1]=>[3,4,5] [1,1,1,1,2,1,1,2,1,1]=>[5,4,3] [1,1,2,2,1,1,1,1,1,1]=>[3,2,7] [1,1,1,1,2,2,1,1,1,1]=>[5,2,5] [1,1,1,1,1,1,2,2,1,1]=>[7,2,3] [1,1,1,1,1,1,1,1,1,1,1,1]=>[12] [5,4,1,2]=>[1,1,1,1,2,1,1,3,1] [4,1,1,3,1,2]=>[1,1,1,4,1,3,1] [4,3,2,3]=>[1,1,1,2,1,2,2,1,1] [5,3,1,3]=>[1,1,1,1,2,1,3,1,1] [4,1,1,2,1,3]=>[1,1,1,4,3,1,1] [3,2,1,2,1,1,1,1]=>[1,1,2,3,5] [1,1,3,2,1,2,1,1]=>[3,1,2,3,3] [5,2,1,4]=>[1,1,1,1,2,3,1,1,1] [5,1,1,5]=>[1,1,1,1,4,1,1,1,1] [3,1,2,2,1,3]=>[1,1,3,2,3,1,1] [4,2,2,4]=>[1,1,1,2,2,2,1,1,1] [3,1,2,1,1,4]=>[1,1,3,4,1,1,1] [4,1,1,1,1,4]=>[1,1,1,6,1,1,1] [3,1,3,5]=>[1,1,3,1,2,1,1,1,1] [6,6]=>[1,1,1,1,1,2,1,1,1,1,1] [4,1,2,5]=>[1,1,1,3,2,1,1,1,1] [2,1,4,5]=>[1,3,1,1,2,1,1,1,1] [3,2,3,4]=>[1,1,2,2,1,2,1,1,1] [1,10,1]=>[2,1,1,1,1,1,1,1,1,2] [5,6,1]=>[1,1,1,1,2,1,1,1,1,2] [1,6,5]=>[2,1,1,1,1,2,1,1,1,1] [4,2,5,1]=>[1,1,1,2,2,1,1,1,2] [1,5,2,4]=>[2,1,1,1,2,2,1,1,1] [4,3,4,1]=>[1,1,1,2,1,2,1,1,2] [3,3,5,1]=>[1,1,2,1,2,1,1,1,2] [1,5,3,3]=>[2,1,1,1,2,1,2,1,1] [1,4,3,4]=>[2,1,1,2,1,2,1,1,1] [4,4,3,1]=>[1,1,1,2,1,1,2,1,2] [3,2,2,4,1]=>[1,1,2,2,2,1,1,2] [2,4,5,1]=>[1,2,1,1,2,1,1,1,2] [4,6,2]=>[1,1,1,2,1,1,1,1,2,1] [1,5,4,2]=>[2,1,1,1,2,1,1,2,1] [1,4,2,2,3]=>[2,1,1,2,2,2,1,1] [2,6,4]=>[1,2,1,1,1,1,2,1,1,1] [1,3,4,4]=>[2,1,2,1,1,2,1,1,1] [4,5,2,1]=>[1,1,1,2,1,1,1,2,2] [3,2,3,3,1]=>[1,1,2,2,1,2,1,2] [3,4,4,1]=>[1,1,2,1,1,2,1,1,2] [2,3,2,4,1]=>[1,2,1,2,2,1,1,2] [1,5,5,1]=>[2,1,1,1,2,1,1,1,2] [3,2,5,2]=>[1,1,2,2,1,1,1,2,1] [1,4,2,3,2]=>[2,1,1,2,2,1,2,1] [3,6,3]=>[1,1,2,1,1,1,1,2,1,1] [1,4,4,3]=>[2,1,1,2,1,1,2,1,1] [2,5,2,3]=>[1,2,1,1,1,2,2,1,1] [1,3,3,2,3]=>[2,1,2,1,2,2,1,1] [1,2,5,4]=>[2,2,1,1,1,2,1,1,1] [3,2,4,2,1]=>[1,1,2,2,1,1,2,2] [3,3,2,3,1]=>[1,1,2,1,2,2,1,2] [2,3,3,3,1]=>[1,2,1,2,1,2,1,2] [2,2,3,4,1]=>[1,2,2,1,2,1,1,2] [1,4,2,4,1]=>[2,1,1,2,2,1,1,2] [3,3,4,2]=>[1,1,2,1,2,1,1,2,1] [2,3,5,2]=>[1,2,1,2,1,1,1,2,1] [3,5,2,2]=>[1,1,2,1,1,1,2,2,1] [1,4,3,2,2]=>[2,1,1,2,1,2,2,1] [2,5,3,2]=>[1,2,1,1,1,2,1,2,1] [1,3,3,3,2]=>[2,1,2,1,2,1,2,1] [2,2,5,3]=>[1,2,2,1,1,1,2,1,1] [2,4,3,3]=>[1,2,1,1,2,1,2,1,1] [1,3,2,3,3]=>[2,1,2,2,1,2,1,1] [1,2,4,2,3]=>[2,2,1,1,2,2,1,1] [1,2,1,1,1,1,1,1,1,1,1]=>[2,10] [1,1,1,1,2,1,1,1,2,1]=>[5,5,2] [1,2,1,1,1,2,1,1,1,1]=>[2,5,5] [1,1,1,1,1,2,1,1,2,1]=>[6,4,2] [1,1,1,2,1,1,1,1,2,1]=>[4,6,2] [1,2,1,1,1,1,2,1,1,1]=>[2,6,4] [1,2,1,1,2,1,1,1,1,1]=>[2,4,6] [1,1,1,1,1,1,2,1,2,1]=>[7,3,2] [1,1,1,2,2,1,1,2,1]=>[4,2,4,2] [1,1,2,1,1,1,1,1,2,1]=>[3,7,2] [1,1,1,1,1,1,1,2,1,1,1]=>[8,4] [1,2,1,1,1,1,1,2,1,1]=>[2,7,3] [1,2,1,1,2,2,1,1,1]=>[2,4,2,4] [1,1,1,2,1,1,1,1,1,1,1]=>[4,8] [1,2,1,2,1,1,1,1,1,1]=>[2,3,7] [1,1,1,1,1,1,1,2,2,1]=>[8,2,2] [1,1,1,2,1,2,1,2,1]=>[4,3,3,2] [1,1,2,1,2,1,1,2,1]=>[3,3,4,2] [1,2,1,1,1,1,1,1,2,1]=>[2,8,2] [1,1,1,2,1,1,2,1,1,1]=>[4,4,4] [1,2,1,1,2,1,2,1,1]=>[2,4,3,3] [1,1,1,1,1,2,1,1,1,1,1]=>[6,6] [1,2,1,2,1,2,1,1,1]=>[2,3,3,4] [1,2,2,1,1,1,1,1,1,1]=>[2,2,8] [1,1,1,2,1,1,2,2,1]=>[4,4,2,2] [1,1,1,1,2,2,1,2,1]=>[5,2,3,2] [1,1,2,1,1,2,1,2,1]=>[3,4,3,2] [1,1,2,2,1,1,1,2,1]=>[3,2,5,2] [1,2,1,1,2,1,1,2,1]=>[2,4,4,2] [1,1,1,1,2,1,2,1,1,1]=>[5,3,4] [1,1,2,1,1,1,2,1,1,1]=>[3,5,4] [1,1,1,1,1,2,1,2,1,1]=>[6,3,3] [1,2,1,1,1,2,2,1,1]=>[2,5,2,3] [1,1,1,2,1,1,1,2,1,1]=>[4,5,3] [1,2,1,2,1,1,2,1,1]=>[2,3,4,3] [1,1,2,1,2,1,1,1,1,1]=>[3,3,6] [1,1,1,2,1,2,1,1,1,1]=>[4,3,5] [1,2,1,2,2,1,1,1,1]=>[2,3,2,5] [1,2,2,1,1,2,1,1,1]=>[2,2,4,4] [1,1,1,1,2,1,1,1,3]=>[5,5,1,1] [3,1,1,1,2,1,1,1,1]=>[1,1,5,5] [1,1,1,4,1,1,3]=>[4,1,1,4,1,1] [3,1,1,4,1,1,1]=>[1,1,4,1,1,4] [1,1,1,2,3,1,3]=>[4,2,1,3,1,1] [1,1,3,2,1,1,3]=>[3,1,2,4,1,1] [3,1,1,2,3,1,1]=>[1,1,4,2,1,3] [3,1,3,2,1,1,1]=>[1,1,3,1,2,4] [1,1,1,2,1,3,3]=>[4,3,1,2,1,1] [1,1,6,1,3]=>[3,1,1,1,1,3,1,1] [1,3,1,2,1,1,3]=>[2,1,3,4,1,1] [3,1,1,2,1,3,1]=>[1,1,4,3,1,2] [3,1,6,1,1]=>[1,1,3,1,1,1,1,3] [3,3,1,2,1,1,1]=>[1,1,2,1,3,4] [1,1,1,2,1,1,5]=>[4,4,1,1,1,1] [1,1,4,3,3]=>[3,1,1,2,1,2,1,1] [1,3,4,1,3]=>[2,1,2,1,1,3,1,1] [3,1,1,2,1,1,3]=>[1,1,4,4,1,1] [1,1,4,1,2,2,1]=>[3,1,1,3,2,2] [3,1,4,3,1]=>[1,1,3,1,1,2,1,2] [1,1,2,1,2,1,2,1,1]=>[3,3,3,3] [3,1,2,2,2,1,1]=>[1,1,3,2,2,3] [1,2,2,1,4,1,1]=>[2,2,3,1,1,3] [3,3,4,1,1]=>[1,1,2,1,2,1,1,3] [5,1,1,2,1,1,1]=>[1,1,1,1,4,4] [1,1,4,1,5]=>[3,1,1,3,1,1,1,1] [1,1,2,5,3]=>[3,2,1,1,1,2,1,1] [1,5,2,1,3]=>[2,1,1,1,2,3,1,1] [3,1,4,1,3]=>[1,1,3,1,1,3,1,1] [1,1,2,3,2,2,1]=>[3,2,1,2,2,2] [1,3,2,1,2,2,1]=>[2,1,2,3,2,2] [1,1,2,1,2,4,1]=>[3,3,2,1,1,2] [3,1,2,5,1]=>[1,1,3,2,1,1,1,2] [1,2,2,1,2,3,1]=>[2,2,3,2,1,2] [1,4,2,1,2,1,1]=>[2,1,1,2,3,3] [1,2,2,3,2,1,1]=>[2,2,2,1,2,3] [3,5,2,1,1]=>[1,1,2,1,1,1,2,3] [5,1,4,1,1]=>[1,1,1,1,3,1,1,3] [1,4,1,1,4,1]=>[2,1,1,4,1,1,2] [1,4,2,1,3,1]=>[2,1,1,2,3,1,2] [1,3,1,2,4,1]=>[2,1,3,2,1,1,2] [3,1,1,4,2,1]=>[1,1,4,1,1,2,2] [1,4,3,1,2,1]=>[2,1,1,2,1,3,2] [1,3,1,1,1,1,3,1]=>[2,1,6,1,2] [1,2,1,3,4,1]=>[2,3,1,2,1,1,2] [2,4,4,2]=>[1,2,1,1,2,1,1,2,1] [2,1,1,4,3,1]=>[1,4,1,1,2,1,2] [1,4,4,1,1,1]=>[2,1,1,2,1,1,4] [1,3,1,1,2,1,2,1]=>[2,1,4,3,2] [1,3,2,2,3,1]=>[2,1,2,2,2,1,2] [1,2,1,2,1,1,3,1]=>[2,3,4,1,2] [1,1,1,4,4,1]=>[4,1,1,2,1,1,2] [2,3,1,1,3,2]=>[1,2,1,4,1,2,1] [2,1,1,3,1,1,2,1]=>[1,4,1,4,2] [1,3,1,1,3,1,1,1]=>[2,1,4,1,4] [1,3,2,1,1,1,2,1]=>[2,1,2,5,2] [1,2,1,2,2,1,2,1]=>[2,3,2,3,2] [1,2,1,1,1,2,3,1]=>[2,5,2,1,2] [1,1,1,3,1,1,3,1]=>[4,1,4,1,2] [2,3,2,1,2,2]=>[1,2,1,2,3,2,1] [2,2,1,2,3,2]=>[1,2,3,2,1,2,1] [2,3,3,2,1,1]=>[1,2,1,2,1,2,3] [2,1,1,3,2,1,1,1]=>[1,4,1,2,4] [2,2,2,3,2,1]=>[1,2,2,2,1,2,2] [2,1,1,2,1,2,2,1]=>[1,4,3,2,2] [1,2,4,1,1,3]=>[2,2,1,1,4,1,1] [1,3,4,1,1,2]=>[2,1,2,1,1,4,1] [1,2,1,1,3,1,1,2]=>[2,4,1,4,1] [1,2,2,1,2,1,1,2]=>[2,2,3,4,1] [1,1,1,2,3,1,1,2]=>[4,2,1,4,1] [1,2,3,2,2,2]=>[2,2,1,2,2,2,1] [1,1,2,3,3,2]=>[3,2,1,2,1,2,1] [1,4,5,2]=>[2,1,1,2,1,1,1,2,1] [4,2,1,4,1]=>[1,1,1,2,3,1,1,2] [1,3,5,3]=>[2,1,2,1,1,1,2,1,1] [3,3,1,3,2]=>[1,1,2,1,3,1,2,1] [1,2,1,1,4,3]=>[2,4,1,1,2,1,1] [2,1,1,2,1,3,2]=>[1,4,3,1,2,1] [1,1,1,2,4,3]=>[4,2,1,1,2,1,1] [1,3,3,1,2,2]=>[2,1,2,1,3,2,1] [1,1,3,4,1,1,1]=>[3,1,2,1,1,4] [1,1,2,2,1,3,2]=>[3,2,3,1,2,1] [2,4,1,2,3]=>[1,2,1,1,3,2,1,1] [3,3,1,1,1,2,1]=>[1,1,2,1,5,2] [2,3,4,3]=>[1,2,1,2,1,1,2,1,1] [1,3,2,1,3,2]=>[2,1,2,3,1,2,1] [1,1,2,4,2,1,1]=>[3,2,1,1,2,3] [1,1,1,3,1,2,3]=>[4,1,3,2,1,1] [2,1,2,3,1,2,1]=>[1,3,2,1,3,2] [2,1,1,2,1,2,1,1,1]=>[1,4,3,4] [2,2,1,2,1,2,2]=>[1,2,3,3,2,1] [2,4,1,1,1,1,2]=>[1,2,1,1,6,1] [1,2,4,2,1,2]=>[2,2,1,1,2,3,1] [1,2,3,1,2,3]=>[2,2,1,3,2,1,1] [1,1,1,1,1,3,2,1,1]=>[6,1,2,3] [1,1,2,3,1,1,1,1,1]=>[3,2,1,6] [1,2,2,3,1,1,2]=>[2,2,2,1,4,1] [1,2,1,2,1,2,3]=>[2,3,3,2,1,1] [1,1,1,1,1,2,1,2,2]=>[6,3,2,1] [1,1,1,3,1,1,1,1,2]=>[4,1,6,1] [2,1,1,3,2,2,1]=>[1,4,1,2,2,2] [2,2,1,2,1,1,1,1,1]=>[1,2,3,6] [2,4,1,1,2,1,1]=>[1,2,1,1,4,3] [2,4,2,2,2]=>[1,2,1,1,2,2,2,1] [4,5,1,1,1]=>[1,1,1,2,1,1,1,4] [3,2,1,3,1,1,1]=>[1,1,2,3,1,4] [2,1,2,4,1,1,1]=>[1,3,2,1,1,4] [2,1,1,1,1,3,1,1,1]=>[1,6,1,4] [3,4,2,2,1]=>[1,1,2,1,1,2,2,2] [1,2,4,4,1]=>[2,2,1,1,2,1,1,2] [3,4,1,1,1,1,1]=>[1,1,2,1,1,6] [2,2,2,3,1,1,1]=>[1,2,2,2,1,4] [1,1,2,1,1,3,1,1,1]=>[3,4,1,4] [1,2,3,1,1,3,1]=>[2,2,1,4,1,2] [2,1,1,3,1,1,1,1,1]=>[1,4,1,6] [2,2,1,1,1,2,1,1,1]=>[1,2,5,4] [1,1,2,2,1,2,1,1,1]=>[3,2,3,4] [1,1,1,1,2,3,1,1,1]=>[5,2,1,4] [2,2,1,2,2,2,1]=>[1,2,3,2,2,2] [2,3,2,1,1,2,1]=>[1,2,1,2,4,2] [1,2,3,2,1,2,1]=>[2,2,1,2,3,2] [1,1,1,2,3,3,1]=>[4,2,1,2,1,2] [1,1,1,5,4]=>[4,1,1,1,2,1,1,1] [1,1,1,4,2,1,2]=>[4,1,1,2,3,1] [1,4,4,2,1]=>[2,1,1,2,1,1,2,2] [1,1,1,4,3,1,1]=>[4,1,1,2,1,3] [1,2,2,4,3]=>[2,2,2,1,1,2,1,1] [1,3,1,1,3,2,1]=>[2,1,4,1,2,2] [1,1,1,3,1,1,2,1,1]=>[4,1,4,3] [1,1,1,3,2,2,2]=>[4,1,2,2,2,1] [1,1,1,2,1,2,1,1,2]=>[4,3,4,1] [1,1,1,1,1,4,3]=>[6,1,1,2,1,1] [1,2,1,2,3,2,1]=>[2,3,2,1,2,2] [1,3,3,2,1,1,1]=>[2,1,2,1,2,4] [1,1,1,3,2,1,1,1,1]=>[4,1,2,5] [1,1,1,2,1,2,2,1,1]=>[4,3,2,3] [1,2,1,1,2,3,2]=>[2,4,2,1,2,1] [1,2,2,2,1,2,2]=>[2,2,2,3,2,1] [1,1,1,2,1,1,1,2,2]=>[4,5,2,1] [1,1,1,1,1,3,1,1,2]=>[6,1,4,1] [1,2,9]=>[2,2,1,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,1,3]=>[2,8,1,1] [9,1,2]=>[1,1,1,1,1,1,1,1,3,1] [1,3,1,1,1,1,4]=>[2,1,6,1,1,1] [1,1,1,1,1,1,1,3,2]=>[8,1,2,1] [1,1,2,1,7]=>[3,3,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,2,1,1]=>[9,3] [8,1,1,2]=>[1,1,1,1,1,1,1,4,1] [1,1,8,1,1]=>[3,1,1,1,1,1,1,3] [1,1,6,3,1]=>[3,1,1,1,1,2,1,2] [1,1,4,5,1]=>[3,1,1,2,1,1,1,2] [1,1,2,7,1]=>[3,2,1,1,1,1,1,2] [2,5,4,1]=>[1,2,1,1,1,2,1,1,2] [1,1,2,2,1,1,1,1,2]=>[3,2,6,1] [3,8,1]=>[1,1,2,1,1,1,1,1,1,2] [2,1,1,1,2,4,1]=>[1,5,2,1,1,2] [2,1,4,2,1,1,1]=>[1,3,1,1,2,4] [4,2,1,1,1,2,1]=>[1,1,1,2,5,2] [2,2,1,1,1,1,1,2,1]=>[1,2,7,2] [1,2,5,1,1,1,1]=>[2,2,1,1,1,5] [1,2,3,1,1,1,1,1,1]=>[2,2,1,7] [7,1,1,1,2]=>[1,1,1,1,1,1,5,1] [6,1,1,1,1,2]=>[1,1,1,1,1,6,1] [5,1,1,1,1,1,2]=>[1,1,1,1,7,1] [4,1,1,1,1,1,1,2]=>[1,1,1,8,1] [3,1,1,1,1,1,1,1,2]=>[1,1,9,1] [2,2,2,2,2,1,1]=>[1,2,2,2,2,3] [3,2,1,2,2,1,1]=>[1,1,2,3,2,3] [3,2,2,1,2,1,1]=>[1,1,2,2,3,3] [3,2,2,2,1,1,1]=>[1,1,2,2,2,4] [2,1,1,2,2,2,2]=>[1,4,2,2,2,1] [3,1,1,2,2,2,1]=>[1,1,4,2,2,2] [1,2,2,2,2,2,1]=>[2,2,2,2,2,2] [1,2,2,3,3,1]=>[2,2,2,1,2,1,2] [1,2,3,2,3,1]=>[2,2,1,2,2,1,2] [1,1,2,2,2,3,1]=>[3,2,2,2,1,2] [2,2,2,2,3,1]=>[1,2,2,2,2,1,2] [9,3]=>[1,1,1,1,1,1,1,1,2,1,1] [2,4,2,1,1,1,1]=>[1,2,1,1,2,5] [2,3,2,1,1,1,1,1]=>[1,2,1,2,6] [2,2,2,1,1,1,1,1,1]=>[1,2,2,7] [1,5,1,1,1,2,1]=>[2,1,1,1,5,2] [2,1,1,1,1,1,1,2,2]=>[1,8,2,1] [2,2,3,2,1,1,1]=>[1,2,2,1,2,4] [2,2,1,2,2,1,1,1]=>[1,2,3,2,4] [2,3,2,2,1,1,1]=>[1,2,1,2,2,4] [1,2,2,2,2,1,1,1]=>[2,2,2,2,4] [4,3,1,1,1,1,1]=>[1,1,1,2,1,6] [3,9]=>[1,1,2,1,1,1,1,1,1,1,1] [4,3,2,2,1]=>[1,1,1,2,1,2,2,2] [5,2,2,2,1]=>[1,1,1,1,2,2,2,2] [2,1,1,1,1,3,3]=>[1,6,1,2,1,1] [2,1,2,2,2,2,1]=>[1,3,2,2,2,2] [1,1,2,1,1,1,1,2,1,1]=>[3,6,3] [5,4,3]=>[1,1,1,1,2,1,1,2,1,1] [5,4,2,1]=>[1,1,1,1,2,1,1,2,2] [5,4,1,1,1]=>[1,1,1,1,2,1,1,4] [5,3,3,1]=>[1,1,1,1,2,1,2,1,2] [5,3,2,2]=>[1,1,1,1,2,1,2,2,1] [5,3,2,1,1]=>[1,1,1,1,2,1,2,3] [4,4,2,1,1]=>[1,1,1,2,1,1,2,3] [4,3,3,2]=>[1,1,1,2,1,2,1,2,1] [4,3,3,1,1]=>[1,1,1,2,1,2,1,3] [3,3,3,2,1]=>[1,1,2,1,2,1,2,2] [1,2,3,3,3]=>[2,2,1,2,1,2,1,1] [1,2,2,3,4]=>[2,2,2,1,2,1,1,1] [1,2,2,2,5]=>[2,2,2,2,1,1,1,1] [1,1,2,4,4]=>[3,2,1,1,2,1,1,1] [1,1,2,3,5]=>[3,2,1,2,1,1,1,1] [1,1,1,4,5]=>[4,1,1,2,1,1,1,1] [2,3,3,4]=>[1,2,1,2,1,2,1,1,1] [3,4,5]=>[1,1,2,1,1,2,1,1,1,1] [3,1,3,1,2,1,1]=>[1,1,3,1,3,3] [4,1,2,1,2,1,1]=>[1,1,1,3,3,3] [4,1,3,1,1,1,1]=>[1,1,1,3,1,5] [1,1,1,1,2,1,2,2,1]=>[5,3,2,2] [1,1,1,2,1,1,2,1,2]=>[4,4,3,1] [1,1,1,1,2,1,1,2,2]=>[5,4,2,1] [1,2,2,1,2,1,1,1,1]=>[2,2,3,5] [2,2,1,1,2,1,1,1,1]=>[1,2,4,5] [1,4,3,3,1]=>[2,1,1,2,1,2,1,2] [1,5,4,1,1]=>[2,1,1,1,2,1,1,3] [3,5,4]=>[1,1,2,1,1,1,2,1,1,1] [3,3,2,1,3]=>[1,1,2,1,2,3,1,1] [3,3,2,4]=>[1,1,2,1,2,2,1,1,1] [4,3,5]=>[1,1,1,2,1,2,1,1,1,1] [2,3,2,2,2,1]=>[1,2,1,2,2,2,2] [1,3,3,2,2,1]=>[2,1,2,1,2,2,2] [2,2,3,2,2,1]=>[1,2,2,1,2,2,2] [1,2,3,3,2,1]=>[2,2,1,2,1,2,2] [2,4,3,2,1]=>[1,2,1,1,2,1,2,2] [1,3,2,3,2,1]=>[2,1,2,2,1,2,2] [2,3,4,2,1]=>[1,2,1,2,1,1,2,2] [1,3,4,3,1]=>[2,1,2,1,1,2,1,2] [2,2,4,3,1]=>[1,2,2,1,1,2,1,2] [3,5,3,1]=>[1,1,2,1,1,1,2,1,2] [2,4,2,3,1]=>[1,2,1,1,2,2,1,2] [1,3,3,4,1]=>[2,1,2,1,2,1,1,2] [1,2,2,2,3,2]=>[2,2,2,2,1,2,1] [2,3,2,3,2]=>[1,2,1,2,2,1,2,1] [2,2,3,3,2]=>[1,2,2,1,2,1,2,1] [3,4,3,2]=>[1,1,2,1,1,2,1,2,1] [1,2,3,4,2]=>[2,2,1,2,1,1,2,1] [1,3,2,4,2]=>[2,1,2,2,1,1,2,1] [2,2,2,4,2]=>[1,2,2,2,1,1,2,1] [1,2,2,3,2,2]=>[2,2,2,1,2,2,1] [2,3,3,2,2]=>[1,2,1,2,1,2,2,1] [1,3,4,2,2]=>[2,1,2,1,1,2,2,1] [2,2,4,2,2]=>[1,2,2,1,1,2,2,1] [1,3,2,2,2,2]=>[2,1,2,2,2,2,1] [3,3,2,2,2]=>[1,1,2,1,2,2,2,1] [3,2,3,2,2]=>[1,1,2,2,1,2,2,1] [1,2,4,3,2]=>[2,2,1,1,2,1,2,1] [3,2,2,3,2]=>[1,1,2,2,2,1,2,1] [4,2,4,2]=>[1,1,1,2,2,1,1,2,1] [5,5,2]=>[1,1,1,1,2,1,1,1,2,1] [2,2,2,3,3]=>[1,2,2,2,1,2,1,1] [3,2,4,3]=>[1,1,2,2,1,1,2,1,1] [4,5,3]=>[1,1,1,2,1,1,1,2,1,1] [2,2,3,2,3]=>[1,2,2,1,2,2,1,1] [3,4,2,3]=>[1,1,2,1,1,2,2,1,1] [2,3,2,2,3]=>[1,2,1,2,2,2,1,1] [3,2,2,2,3]=>[1,1,2,2,2,2,1,1] [4,2,3,3]=>[1,1,1,2,2,1,2,1,1] [4,4,4]=>[1,1,1,2,1,1,2,1,1,1] [2,4,2,4]=>[1,2,1,1,2,2,1,1,1] [5,3,4]=>[1,1,1,1,2,1,2,1,1,1] [2,5,5]=>[1,2,1,1,1,2,1,1,1,1] [5,2,5]=>[1,1,1,1,2,2,1,1,1,1] [1,1,1,2,2,2,2,1]=>[4,2,2,2,2] [1,2,1,1,2,2,2,1]=>[2,4,2,2,2] [1,1,2,1,2,2,2,1]=>[3,3,2,2,2] [1,1,1,1,1,2,2,2,1]=>[6,2,2,2] [1,2,2,1,1,2,2,1]=>[2,2,4,2,2] [1,2,1,2,1,2,2,1]=>[2,3,3,2,2] [1,1,2,2,1,2,2,1]=>[3,2,3,2,2] [1,2,1,1,1,1,2,2,1]=>[2,6,2,2] [1,1,2,1,1,1,2,2,1]=>[3,5,2,2] [1,2,2,2,1,1,2,1]=>[2,2,2,4,2] [1,2,2,1,2,1,2,1]=>[2,2,3,3,2] [1,1,2,2,2,1,2,1]=>[3,2,2,3,2] [1,2,1,1,1,2,1,2,1]=>[2,5,3,2] [1,2,2,1,1,1,1,2,1]=>[2,2,6,2] [1,2,1,2,1,1,1,2,1]=>[2,3,5,2] [1,1,1,2,2,2,1,1,1]=>[4,2,2,4] [1,1,2,1,2,2,1,1,1]=>[3,3,2,4] [1,1,1,1,1,2,2,1,1,1]=>[6,2,4] [1,2,2,2,1,2,1,1]=>[2,2,2,3,3] [1,1,1,2,2,1,2,1,1]=>[4,2,3,3] [1,2,2,1,2,2,1,1]=>[2,2,3,2,3] [1,2,1,2,2,2,1,1]=>[2,3,2,2,3] [1,1,1,1,2,2,2,1,1]=>[5,2,2,3] [1,1,2,1,1,2,2,1,1]=>[3,4,2,3] [1,2,2,1,1,1,2,1,1]=>[2,2,5,3] [1,1,2,2,1,1,2,1,1]=>[3,2,4,3] [1,2,2,2,1,1,1,1,1]=>[2,2,2,6] [1,1,1,2,2,1,1,1,1,1]=>[4,2,6] [1,1,2,2,2,1,1,1,1]=>[3,2,2,5] [1,1,1,1,1,1,2,1,1,1,1]=>[7,5] [1,1,1,1,2,1,1,1,1,1,1]=>[5,7] [1,1,2,1,1,1,1,1,1,1,1]=>[3,9] [12]=>[1,1,1,1,1,1,1,1,1,1,1,1] [3,2,7]=>[1,1,2,2,1,1,1,1,1,1] [1,4,7]=>[2,1,1,2,1,1,1,1,1,1] [3,1,2,1,5]=>[1,1,3,3,1,1,1,1] [1,3,2,1,5]=>[2,1,2,3,1,1,1,1] [7,2,3]=>[1,1,1,1,1,1,2,2,1,1] [3,1,2,3,3]=>[1,1,3,2,1,2,1,1] [5,1,2,1,3]=>[1,1,1,1,3,3,1,1] [1,2,2,1,2,1,3]=>[2,2,3,3,1,1] [1,2,6,2,1]=>[2,2,1,1,1,1,2,2] [1,1,2,1,4,2,1]=>[3,3,1,1,2,2] [1,6,2,2,1]=>[2,1,1,1,1,2,2,2] [3,1,2,1,2,2,1]=>[1,1,3,3,2,2] [7,4,1]=>[1,1,1,1,1,1,2,1,1,2] [1,2,2,6,1]=>[2,2,2,1,1,1,1,2] [1,3,2,5,1]=>[2,1,2,2,1,1,1,2] [1,1,1,2,1,5,1]=>[4,3,1,1,1,2] [5,1,2,3,1]=>[1,1,1,1,3,2,1,2] [1,5,2,3,1]=>[2,1,1,1,2,2,1,2] [1,3,1,2,1,3,1]=>[2,1,3,3,1,2] [1,1,3,2,1,3,1]=>[3,1,2,3,1,2] [1,1,1,4,1,3,1]=>[4,1,1,3,1,2] [1,1,1,1,2,1,1,3,1]=>[5,4,1,2] [7,1,2,1,1]=>[1,1,1,1,1,1,3,3] [1,2,4,1,2,1,1]=>[2,2,1,1,3,3] [1,7,2,1,1]=>[2,1,1,1,1,1,2,3] [1,3,2,2,2,1,1]=>[2,1,2,2,2,3] [1,1,4,2,2,1,1]=>[3,1,1,2,2,3] [1,1,2,2,4,1,1]=>[3,2,2,1,1,3] [1,3,6,1,1]=>[2,1,2,1,1,1,1,3] [1,1,1,2,5,1,1]=>[4,2,1,1,1,3] [1,3,1,2,3,1,1]=>[2,1,3,2,1,3] [1,1,3,2,3,1,1]=>[3,1,2,2,1,3] [1,1,1,1,2,1,3,1,1]=>[5,3,1,3] [1,5,1,2,1,1,1]=>[2,1,1,1,3,4] [1,1,5,2,1,1,1]=>[3,1,1,1,2,4] [1,3,1,4,1,1,1]=>[2,1,3,1,1,4] [1,1,1,6,1,1,1]=>[4,1,1,1,1,4] [1,3,1,1,2,1,1,1,1]=>[2,1,4,5] [1,1,3,1,2,1,1,1,1]=>[3,1,3,5] [1,1,1,1,4,1,1,1,1]=>[5,1,1,5] [1,3,3,1,1,1,1,1]=>[2,1,2,1,6] [1,3,2,1,2,1,1,1]=>[2,1,2,3,4] [1,1,1,3,3,1,1,1]=>[4,1,2,1,4] [1,2,1,2,3,1,1,1]=>[2,3,2,1,4] [1,1,1,3,2,1,2,1]=>[4,1,2,3,2] [1,1,1,1,1,3,3,1]=>[6,1,2,1,2] [1,1,1,2,1,2,3,1]=>[4,3,2,1,2] [2,3,3,1,1,2]=>[1,2,1,2,1,4,1] [2,1,1,3,3,2]=>[1,4,1,2,1,2,1] [2,3,1,1,2,1,1,1]=>[1,2,1,4,4] [2,4,3,1,1,1]=>[1,2,1,1,2,1,4] [2,1,1,1,1,3,2,1]=>[1,6,1,2,2] [2,2,1,1,1,2,2,1]=>[1,2,5,2,2] [2,2,1,2,1,1,2,1]=>[1,2,3,4,2] [2,3,1,1,1,1,2,1]=>[1,2,1,6,2] [2,4,2,1,2,1]=>[1,2,1,1,2,3,2] [2,2,1,3,3,1]=>[1,2,3,1,2,1,2] [2,3,1,2,3,1]=>[1,2,1,3,2,1,2] [2,4,1,1,3,1]=>[1,2,1,1,4,1,2] [3,4,2,1,1,1]=>[1,1,2,1,1,2,4] [3,2,1,3,2,1]=>[1,1,2,3,1,2,2] [3,3,1,2,2,1]=>[1,1,2,1,3,2,2] [3,4,1,1,2,1]=>[1,1,2,1,1,4,2] [1,2,3,1,1,1,1,2]=>[2,2,1,6,1] [1,2,2,1,1,1,2,2]=>[2,2,5,2,1] [1,1,1,2,2,1,2,2]=>[4,2,3,2,1] [1,2,1,1,2,1,2,2]=>[2,4,3,2,1] [1,1,1,1,1,2,3,2]=>[6,2,1,2,1] [1,1,1,2,1,1,3,2]=>[4,4,1,2,1] [1,2,1,1,1,1,3,2]=>[2,6,1,2,1] [1,2,2,1,3,3]=>[2,2,3,1,2,1,1] [1,1,1,3,4,2]=>[4,1,2,1,1,2,1] [1,2,1,2,4,2]=>[2,3,2,1,1,2,1] [1,3,1,1,4,2]=>[2,1,4,1,1,2,1] [1,2,1,3,3,1,1]=>[2,3,1,2,1,3] [1,5,3,1,2]=>[2,1,1,1,2,1,3,1] [1,3,1,2,2,1,2]=>[2,1,3,2,3,1] [1,2,1,2,1,1,1,1,2]=>[2,3,6,1] [1,2,1,3,2,1,2]=>[2,3,1,2,3,1] [1,5,1,1,4]=>[2,1,1,1,4,1,1,1] [1,3,1,3,4]=>[2,1,3,1,2,1,1,1] [1,2,1,3,1,1,3]=>[2,3,1,4,1,1] [1,2,1,4,4]=>[2,3,1,1,2,1,1,1] [1,1,2,3,1,2,2]=>[3,2,1,3,2,1] [1,1,2,4,1,1,2]=>[3,2,1,1,4,1] [1,1,3,5,2]=>[3,1,2,1,1,1,2,1] [2,1,1,2,1,1,1,2,1]=>[1,4,5,2] [2,5,3,1,1]=>[1,2,1,1,1,2,1,3] [2,2,1,3,2,1,1]=>[1,2,3,1,2,3] [2,1,1,4,2,1,1]=>[1,4,1,1,2,3] [2,5,2,1,2]=>[1,2,1,1,1,2,3,1] [2,2,1,3,1,1,2]=>[1,2,3,1,4,1] [2,5,1,1,3]=>[1,2,1,1,1,4,1,1] [2,2,1,4,3]=>[1,2,3,1,1,2,1,1] [2,1,1,3,1,2,2]=>[1,4,1,3,2,1] [2,1,1,4,1,1,2]=>[1,4,1,1,4,1] [2,1,1,5,3]=>[1,4,1,1,1,2,1,1] [2,1,2,5,2]=>[1,3,2,1,1,1,2,1] [3,1,1,3,1,2,1]=>[1,1,4,1,3,2] [3,4,1,2,2]=>[1,1,2,1,1,3,2,1] [3,5,1,1,2]=>[1,1,2,1,1,1,4,1] [3,1,1,5,2]=>[1,1,4,1,1,1,2,1] [4,3,1,3,1]=>[1,1,1,2,1,3,1,2] [4,4,1,2,1]=>[1,1,1,2,1,1,3,2] [1,2,3,3,1,1,1]=>[2,2,1,2,1,4] [2,3,1,1,2,2,1]=>[1,2,1,4,2,2] [2,2,2,2,1,2,1]=>[1,2,2,2,3,2] [2,1,1,1,1,2,1,2,1]=>[1,6,3,2] [3,2,1,2,1,2,1]=>[1,1,2,3,3,2] [1,1,3,3,1,2,1]=>[3,1,2,1,3,2] [1,2,1,1,3,3,1]=>[2,4,1,2,1,2] [1,1,1,1,1,1,2,3,1]=>[7,2,1,2] [2,2,1,1,2,3,1]=>[1,2,4,2,1,2] [2,1,1,2,2,3,1]=>[1,4,2,2,1,2] [2,2,2,1,1,3,1]=>[1,2,2,4,1,2] [1,1,2,1,1,1,1,3,1]=>[3,6,1,2] [3,2,1,1,1,3,1]=>[1,1,2,5,1,2] [2,1,2,2,1,3,1]=>[1,3,2,3,1,2] [1,1,1,1,3,4,1]=>[5,1,2,1,1,2] [1,1,3,1,1,4,1]=>[3,1,4,1,1,2] [2,1,2,1,1,4,1]=>[1,3,4,1,1,2] [3,1,1,1,1,4,1]=>[1,1,6,1,1,2] [2,1,3,5,1]=>[1,3,1,2,1,1,1,2] [4,1,1,5,1]=>[1,1,1,4,1,1,1,2] [1,3,3,1,1,2,1]=>[2,1,2,1,4,2] [1,1,1,3,3,2,1]=>[4,1,2,1,2,2] [1,3,2,1,1,1,1,1,1]=>[2,1,2,7] [1,4,3,1,1,1,1]=>[2,1,1,2,1,5] [1,3,1,1,1,1,2,1,1]=>[2,1,6,3] [1,4,1,1,3,1,1]=>[2,1,1,4,1,3] [1,2,2,1,1,3,2]=>[2,2,4,1,2,1] [1,1,1,2,2,3,2]=>[4,2,2,1,2,1] [1,2,1,1,1,1,1,2,2]=>[2,7,2,1] [1,3,2,1,1,2,2]=>[2,1,2,4,2,1] [1,2,1,2,2,2,2]=>[2,3,2,2,2,1] [1,3,1,1,2,2,2]=>[2,1,4,2,2,1] [1,2,1,1,1,2,1,1,2]=>[2,5,4,1] [1,3,2,2,1,1,2]=>[2,1,2,2,4,1] [1,4,1,1,2,1,2]=>[2,1,1,4,3,1] [1,2,1,1,1,3,3]=>[2,5,1,2,1,1] [1,3,1,1,1,2,3]=>[2,1,5,2,1,1] [1,4,1,1,1,1,3]=>[2,1,1,6,1,1] [1,4,1,2,4]=>[2,1,1,3,2,1,1,1] [6,4,2]=>[1,1,1,1,1,2,1,1,2,1] [7,5]=>[1,1,1,1,1,1,2,1,1,1,1] [1,2,2,2,3,1,1]=>[2,2,2,2,1,3] [1,2,3,2,2,1,1]=>[2,2,1,2,2,3] [1,4,5,1,1]=>[2,1,1,2,1,1,1,3] [2,4,4,1,1]=>[1,2,1,1,2,1,1,3] [1,2,4,1,1,2,1]=>[2,2,1,1,4,2] [1,2,1,2,4,1,1]=>[2,3,2,1,1,3] [1,2,1,1,2,2,3]=>[2,4,2,2,1,1] [1,2,2,1,1,2,3]=>[2,2,4,2,1,1] [1,2,2,2,1,1,3]=>[2,2,2,4,1,1] [1,2,1,2,2,1,3]=>[2,3,2,3,1,1] [1,3,2,2,1,2,1]=>[2,1,2,2,3,2] [1,3,1,2,2,2,1]=>[2,1,3,2,2,2] [1,3,1,1,2,1,3]=>[2,1,4,3,1,1] [1,1,1,3,2,1,3]=>[4,1,2,3,1,1] [1,3,3,1,2,1,1]=>[2,1,2,1,3,3] [1,3,1,3,2,1,1]=>[2,1,3,1,2,3] [1,1,2,3,1,1,3]=>[3,2,1,4,1,1] [1,3,2,1,3,1,1]=>[2,1,2,3,1,3] [1,3,1,3,1,2,1]=>[2,1,3,1,3,2] [1,3,2,1,2,1,2]=>[2,1,2,3,3,1] [1,2,3,1,2,2,1]=>[2,2,1,3,2,2] [1,1,1,3,3,1,2]=>[4,1,2,1,3,1] [1,1,2,3,3,1,1]=>[3,2,1,2,1,3] [1,2,3,1,3,1,1]=>[2,2,1,3,1,3] [1,2,3,2,1,1,2]=>[2,2,1,2,4,1] [1,1,2,3,2,1,2]=>[3,2,1,2,3,1] [1,2,1,1,3,2,2]=>[2,4,1,2,2,1] [1,2,2,3,1,2,1]=>[2,2,2,1,3,2] [1,1,1,2,3,2,2]=>[4,2,1,2,2,1] [1,2,1,2,3,1,2]=>[2,3,2,1,3,1] [1,2,2,1,2,2,2]=>[2,2,3,2,2,1] [1,2,2,2,2,1,2]=>[2,2,2,2,3,1] [1,3,2,2,4]=>[2,1,2,2,2,1,1,1] [1,4,4,1,2]=>[2,1,1,2,1,1,3,1] [1,4,3,1,3]=>[2,1,1,2,1,3,1,1] [1,4,2,1,4]=>[2,1,1,2,3,1,1,1] [1,5,6]=>[2,1,1,1,2,1,1,1,1,1] [2,4,3,1,2]=>[1,2,1,1,2,1,3,1] [2,4,2,1,3]=>[1,2,1,1,2,3,1,1] [5,7]=>[1,1,1,1,2,1,1,1,1,1,1] [2,3,2,1,2,1,1]=>[1,2,1,2,3,3] [2,2,1,3,1,2,1]=>[1,2,3,1,3,2] [2,2,1,2,2,1,2]=>[1,2,3,2,3,1] [2,3,1,2,2,1,1]=>[1,2,1,3,2,3] [1,1,1,2,1,2,4]=>[4,3,2,1,1,1] [1,2,1,1,1,2,4]=>[2,5,2,1,1,1] [1,2,1,2,1,1,4]=>[2,3,4,1,1,1] [1,4,1,3,1,1,1]=>[2,1,1,3,1,4] [1,5,1,1,2,1,1]=>[2,1,1,1,4,3] [1,6,1,1,1,1,1]=>[2,1,1,1,1,6] [2,2,2,1,2,2,1]=>[1,2,2,3,2,2] [2,1,1,2,1,1,2,1,1]=>[1,4,4,3] [1,2,1,1,2,1,1,1,2]=>[2,4,5,1] [1,1,2,1,1,2,1,1,2]=>[3,4,4,1] [1,1,1,2,2,1,1,1,2]=>[4,2,5,1] [1,3,1,2,5]=>[2,1,3,2,1,1,1,1] [1,2,1,3,5]=>[2,3,1,2,1,1,1,1] [4,2,1,1,2,1,1]=>[1,1,1,2,4,3] [6,1,1,1,1,1,1]=>[1,1,1,1,1,7] [2,1,1,4,4]=>[1,4,1,1,2,1,1,1] [2,1,1,2,1,1,1,1,2]=>[1,4,6,1] [2,1,1,1,1,2,1,1,2]=>[1,6,4,1] [2,4,1,1,4]=>[1,2,1,1,4,1,1,1] [5,1,1,1,2,1,1]=>[1,1,1,1,5,3] [4,1,1,1,3,1,1]=>[1,1,1,5,1,3] [4,1,1,1,2,2,1]=>[1,1,1,5,2,2] [4,1,1,2,1,2,1]=>[1,1,1,4,3,2] [4,1,1,3,1,1,1]=>[1,1,1,4,1,4] [4,1,1,2,2,1,1]=>[1,1,1,4,2,3] [3,1,1,3,2,1,1]=>[1,1,4,1,2,3] [5,1,2,1,1,1,1]=>[1,1,1,1,3,5] [4,1,2,1,1,2,1]=>[1,1,1,3,4,2] [3,1,2,1,3,1,1]=>[1,1,3,3,1,3] [3,1,3,1,1,2,1]=>[1,1,3,1,4,2] [3,1,4,1,1,1,1]=>[1,1,3,1,1,5] [2,1,4,1,1,2,1]=>[1,3,1,1,4,2] [2,1,4,1,2,1,1]=>[1,3,1,1,3,3] [2,1,3,1,3,1,1]=>[1,3,1,3,1,3] [2,1,3,1,2,2,1]=>[1,3,1,3,2,2] [4,1,2,2,1,1,1]=>[1,1,1,3,2,4] [3,1,2,2,1,2,1]=>[1,1,3,2,3,2] [2,1,3,2,1,2,1]=>[1,3,1,2,3,2] [3,1,2,3,1,1,1]=>[1,1,3,2,1,4] [2,1,3,3,1,1,1]=>[1,3,1,2,1,4] [2,1,3,2,2,1,1]=>[1,3,1,2,2,3] [2,1,2,3,2,1,1]=>[1,3,2,1,2,3] [2,1,2,2,3,1,1]=>[1,3,2,2,1,3] [5,2,1,1,1,1,1]=>[1,1,1,1,2,6] [3,2,1,1,3,1,1]=>[1,1,2,4,1,3] [3,2,1,1,2,2,1]=>[1,1,2,4,2,2] [4,2,1,2,1,1,1]=>[1,1,1,2,3,4] [2,2,1,4,1,1,1]=>[1,2,3,1,1,4] [2,2,1,2,3,1,1]=>[1,2,3,2,1,3] [3,3,1,1,2,1,1]=>[1,1,2,1,4,3] [2,3,1,1,3,1,1]=>[1,2,1,4,1,3] [2,4,1,1,1,2,1]=>[1,2,1,1,5,2] [1,4,1,1,2,2,1]=>[2,1,1,4,2,2] [2,3,1,2,1,2,1]=>[1,2,1,3,3,2] [2,4,1,2,1,1,1]=>[1,2,1,1,3,4] [1,4,1,2,1,2,1]=>[2,1,1,3,3,2] [2,3,1,3,1,1,1]=>[1,2,1,3,1,4] [1,4,1,2,2,1,1]=>[2,1,1,3,2,3] [4,2,2,1,1,1,1]=>[1,1,1,2,2,5] [3,2,2,1,1,2,1]=>[1,1,2,2,4,2] [2,2,2,1,3,1,1]=>[1,2,2,3,1,3] [3,3,2,1,1,1,1]=>[1,1,2,1,2,5] [1,5,2,1,1,1,1]=>[2,1,1,1,2,5] [1,4,2,1,1,2,1]=>[2,1,1,2,4,2] [3,2,3,1,1,1,1]=>[1,1,2,2,1,5] [2,2,3,1,1,2,1]=>[1,2,2,1,4,2] [2,3,3,1,1,1,1]=>[1,2,1,2,1,5] [2,2,4,1,1,1,1]=>[1,2,2,1,1,5] [1,3,4,1,1,1,1]=>[2,1,2,1,1,5] [2,2,3,1,2,1,1]=>[1,2,2,1,3,3] [1,4,2,2,1,1,1]=>[2,1,1,2,2,4] [1,2,4,2,1,1,1]=>[2,2,1,1,2,4] [1,3,2,3,1,1,1]=>[2,1,2,2,1,4] [1,2,2,4,1,1,1]=>[2,2,2,1,1,4] [1,1,2,1,1,1,1,2,2]=>[3,6,2,1] [1,1,1,1,1,1,2,2,2]=>[7,2,2,1] [1,2,1,1,1,1,2,1,2]=>[2,6,3,1] [2,2,1,1,1,1,2,1,1]=>[1,2,6,3] [1,1,1,1,1,2,2,1,2]=>[6,2,3,1] [1,1,1,1,2,2,1,1,2]=>[5,2,4,1] [2,1,1,2,2,1,1,1,1]=>[1,4,2,5] [2,1,1,1,1,2,2,1,1]=>[1,6,2,3] [2,2,1,2,1,1,3]=>[1,2,3,4,1,1] [2,1,2,2,1,1,3]=>[1,3,2,4,1,1] [1,2,1,1,3,1,1,1,1]=>[2,4,1,5] [1,1,1,2,3,1,1,1,1]=>[4,2,1,5] [1,1,1,1,1,1,1,2,3]=>[8,2,1,1] [1,3,1,1,4,1,1]=>[2,1,4,1,1,3] [1,1,1,3,4,1,1]=>[4,1,2,1,1,3] [1,1,1,1,2,3,3]=>[5,2,1,2,1,1] [1,1,1,1,1,2,1,1,3]=>[6,4,1,1] [1,1,1,1,1,2,3,1,1]=>[6,2,1,3] [1,4,1,1,5]=>[2,1,1,4,1,1,1,1] [1,3,2,1,1,1,3]=>[2,1,2,5,1,1] [1,1,2,1,1,3,3]=>[3,4,1,2,1,1] [1,1,1,2,1,1,1,1,3]=>[4,6,1,1] [1,1,1,2,1,1,3,1,1]=>[4,4,1,3] [1,1,1,1,1,3,4]=>[6,1,2,1,1,1] [1,3,3,1,1,1,2]=>[2,1,2,1,5,1] [2,3,2,1,1,1,2]=>[1,2,1,2,5,1] [1,1,1,3,1,1,4]=>[4,1,4,1,1,1] [1,3,1,1,3,1,2]=>[2,1,4,1,3,1] [1,2,3,1,1,2,2]=>[2,2,1,4,2,1] [1,2,1,1,1,1,3,1,1]=>[2,6,1,3] [2,1,1,3,3,1,1]=>[1,4,1,2,1,3] [1,3,3,1,3,1]=>[2,1,2,1,3,1,2] [2,3,1,2,4]=>[1,2,1,3,2,1,1,1] [2,3,1,1,2,1,2]=>[1,2,1,4,3,1] [2,2,2,2,1,1,2]=>[1,2,2,2,4,1] [2,1,1,3,1,1,3]=>[1,4,1,4,1,1] [2,3,1,1,1,1,3]=>[1,2,1,6,1,1] [2,2,1,3,4]=>[1,2,3,1,2,1,1,1] [2,2,1,1,1,2,3]=>[1,2,5,2,1,1] [2,2,1,1,1,1,1,1,2]=>[1,2,8,1] [2,2,2,1,1,2,2]=>[1,2,2,4,2,1] [2,2,1,1,2,2,2]=>[1,2,4,2,2,1] [2,1,1,3,2,1,2]=>[1,4,1,2,3,1] [2,1,1,2,1,2,3]=>[1,4,3,2,1,1] [1,1,1,1,1,6,2]=>[6,1,1,1,1,2,1] [1,2,1,1,1,1,6]=>[2,6,1,1,1,1,1] [1,2,1,1,1,2,5]=>[2,5,2,1,1,1,1] [1,1,1,1,2,5,2]=>[5,2,1,1,1,2,1] [1,2,1,1,2,1,5]=>[2,4,3,1,1,1,1] [1,2,1,1,1,3,4]=>[2,5,1,2,1,1,1] [1,1,1,2,1,5,2]=>[4,3,1,1,1,2,1] [1,1,1,1,3,4,2]=>[5,1,2,1,1,2,1] [1,2,1,2,1,1,5]=>[2,3,4,1,1,1,1] [1,2,1,1,2,2,4]=>[2,4,2,2,1,1,1] [1,2,1,1,1,4,3]=>[2,5,1,1,2,1,1] [1,1,3,1,1,1,5]=>[3,1,5,1,1,1,1] [1,1,2,1,1,5,2]=>[3,4,1,1,1,2,1] [1,1,1,2,2,4,2]=>[4,2,2,1,1,2,1] [1,1,1,1,5,1,3]=>[5,1,1,1,3,1,1] [1,1,1,1,4,3,2]=>[5,1,1,2,1,2,1] [1,2,2,1,1,1,5]=>[2,2,5,1,1,1,1] [1,2,1,2,1,2,4]=>[2,3,3,2,1,1,1] [1,2,1,1,3,1,4]=>[2,4,1,3,1,1,1] [1,2,1,1,2,3,3]=>[2,4,2,1,2,1,1] [1,2,1,1,1,5,2]=>[2,5,1,1,1,2,1] [1,1,3,1,1,2,4]=>[3,1,4,2,1,1,1] [1,1,2,1,2,4,2]=>[3,3,2,1,1,2,1] [1,1,1,4,1,1,4]=>[4,1,1,4,1,1,1] [1,1,1,3,1,4,2]=>[4,1,3,1,1,2,1] [1,1,1,2,4,1,3]=>[4,2,1,1,3,1,1] [1,1,1,2,3,3,2]=>[4,2,1,2,1,2,1] [1,1,1,1,5,2,2]=>[5,1,1,1,2,2,1] [1,2,2,1,1,2,4]=>[2,2,4,2,1,1,1] [1,2,1,2,2,1,4]=>[2,3,2,3,1,1,1] [1,2,1,2,1,3,3]=>[2,3,3,1,2,1,1] [1,2,1,1,3,2,3]=>[2,4,1,2,2,1,1] [1,2,1,1,2,4,2]=>[2,4,2,1,1,2,1] [1,1,3,1,2,1,4]=>[3,1,3,3,1,1,1] [1,1,3,1,1,3,3]=>[3,1,4,1,2,1,1] [1,1,2,3,1,1,4]=>[3,2,1,4,1,1,1] [1,1,2,2,1,4,2]=>[3,2,3,1,1,2,1] [1,1,2,1,4,1,3]=>[3,3,1,1,3,1,1] [1,1,2,1,3,3,2]=>[3,3,1,2,1,2,1] [1,1,1,4,1,2,3]=>[4,1,1,3,2,1,1] [1,1,1,3,3,1,3]=>[4,1,2,1,3,1,1] [1,1,1,3,2,3,2]=>[4,1,2,2,1,2,1] [1,1,1,2,4,2,2]=>[4,2,1,1,2,2,1] [1,2,2,2,1,2,3]=>[2,2,2,3,2,1,1] [1,2,2,2,2,1,3]=>[2,2,2,2,3,1,1] [1,1,3,2,1,2,3]=>[3,1,2,3,2,1,1] [1,1,3,2,2,1,3]=>[3,1,2,2,3,1,1] [1,1,2,3,1,2,3]=>[3,2,1,3,2,1,1] [1,2,1,3,1,2,3]=>[2,3,1,3,2,1,1] [1,1,2,3,2,1,3]=>[3,2,1,2,3,1,1] [1,2,1,3,2,1,3]=>[2,3,1,2,3,1,1] [1,2,2,1,1,3,3]=>[2,2,4,1,2,1,1] [1,2,1,2,2,2,3]=>[2,3,2,2,2,1,1] [1,2,1,2,3,1,3]=>[2,3,2,1,3,1,1] [1,1,1,4,2,1,3]=>[4,1,1,2,3,1,1] [1,2,2,1,2,2,3]=>[2,2,3,2,2,1,1] [1,2,2,1,3,1,3]=>[2,2,3,1,3,1,1] [1,1,1,3,1,3,3]=>[4,1,3,1,2,1,1] [1,1,2,2,1,3,3]=>[3,2,3,1,2,1,1] [1,2,2,1,2,1,4]=>[2,2,3,3,1,1,1] [1,1,1,3,2,2,3]=>[4,1,2,2,2,1,1] [1,1,2,2,2,2,3]=>[3,2,2,2,2,1,1] [1,1,2,2,3,1,3]=>[3,2,2,1,3,1,1] [1,1,3,1,2,2,3]=>[3,1,3,2,2,1,1] [1,1,3,1,3,1,3]=>[3,1,3,1,3,1,1] [1,2,2,2,1,1,4]=>[2,2,2,4,1,1,1] [1,1,1,2,1,4,3]=>[4,3,1,1,2,1,1] [1,1,2,1,1,4,3]=>[3,4,1,1,2,1,1] [1,1,1,2,2,3,3]=>[4,2,2,1,2,1,1] [1,1,2,1,2,3,3]=>[3,3,2,1,2,1,1] [1,1,1,2,3,2,3]=>[4,2,1,2,2,1,1] [1,1,2,1,3,2,3]=>[3,3,1,2,2,1,1] [1,2,1,1,4,1,3]=>[2,4,1,1,3,1,1] [1,1,3,2,1,1,4]=>[3,1,2,4,1,1,1] [1,1,1,4,2,2,2]=>[4,1,1,2,2,2,1] [1,1,2,1,4,2,2]=>[3,3,1,1,2,2,1] [1,2,1,1,4,2,2]=>[2,4,1,1,2,2,1] [1,1,3,1,1,4,2]=>[3,1,4,1,1,2,1] [1,2,2,1,1,4,2]=>[2,2,4,1,1,2,1] [1,1,1,2,2,2,4]=>[4,2,2,2,1,1,1] [1,1,1,2,3,1,4]=>[4,2,1,3,1,1,1] [1,1,1,3,2,1,4]=>[4,1,2,3,1,1,1] [1,1,2,2,2,1,4]=>[3,2,2,3,1,1,1] [1,2,1,2,1,4,2]=>[2,3,3,1,1,2,1] [1,1,1,1,3,2,4]=>[5,1,2,2,1,1,1] [1,1,1,3,1,2,4]=>[4,1,3,2,1,1,1] [1,1,1,1,3,3,3]=>[5,1,2,1,2,1,1] [1,1,2,1,3,1,4]=>[3,3,1,3,1,1,1] [1,1,1,1,4,2,3]=>[5,1,1,2,2,1,1] [1,2,1,3,1,1,4]=>[2,3,1,4,1,1,1] [1,1,1,4,1,3,2]=>[4,1,1,3,1,2,1] [1,2,1,3,1,3,2]=>[2,3,1,3,1,2,1] [1,1,3,2,2,2,2]=>[3,1,2,2,2,2,1] [1,1,3,2,1,3,2]=>[3,1,2,3,1,2,1] [1,1,2,2,1,2,4]=>[3,2,3,2,1,1,1] [1,1,3,1,3,2,2]=>[3,1,3,1,2,2,1] [1,1,2,3,2,2,2]=>[3,2,1,2,2,2,1] [1,1,2,2,1,1,5]=>[3,2,4,1,1,1,1] [1,1,2,2,2,3,2]=>[3,2,2,2,1,2,1] [1,1,2,1,2,2,4]=>[3,3,2,2,1,1,1] [1,1,3,1,2,3,2]=>[3,1,3,2,1,2,1] [1,1,2,2,3,2,2]=>[3,2,2,1,2,2,1] [1,1,2,1,2,1,5]=>[3,3,3,1,1,1,1] [1,1,2,3,1,3,2]=>[3,2,1,3,1,2,1] [1,1,2,1,1,3,4]=>[3,4,1,2,1,1,1] [1,1,2,1,1,2,5]=>[3,4,2,1,1,1,1] [1,1,1,2,2,1,5]=>[4,2,3,1,1,1,1] [1,2,1,2,3,2,2]=>[2,3,2,1,2,2,1] [1,2,2,1,2,3,2]=>[2,2,3,2,1,2,1] [1,2,1,3,2,2,2]=>[2,3,1,2,2,2,1] [1,2,2,1,3,2,2]=>[2,2,3,1,2,2,1] [1,2,2,2,1,3,2]=>[2,2,2,3,1,2,1] [1,2,2,2,2,2,2]=>[2,2,2,2,2,2,1] [1,1,1,1,1,5,3]=>[6,1,1,1,2,1,1] [1,1,1,1,2,4,3]=>[5,2,1,1,2,1,1] [1,1,1,1,4,1,4]=>[5,1,1,3,1,1,1] [1,1,1,1,1,4,4]=>[6,1,1,2,1,1,1] [1,1,1,1,2,3,4]=>[5,2,1,2,1,1,1] [1,1,1,3,3,2,2]=>[4,1,2,1,2,2,1] [1,2,1,1,3,3,2]=>[2,4,1,2,1,2,1] [1,1,1,1,1,3,5]=>[6,1,2,1,1,1,1] [1,1,1,1,1,2,6]=>[6,2,1,1,1,1,1] [1,1,1,2,1,3,4]=>[4,3,1,2,1,1,1] [1,1,1,1,3,1,5]=>[5,1,3,1,1,1,1] [1,1,1,2,1,2,5]=>[4,3,2,1,1,1,1] [1,1,1,1,2,2,5]=>[5,2,2,1,1,1,1] [1,1,1,2,1,1,6]=>[4,4,1,1,1,1,1] [1,1,1,1,1,1,7]=>[7,1,1,1,1,1,1] [1,1,1,1,2,1,6]=>[5,3,1,1,1,1,1] [1,1,2,1,1,1,6]=>[3,5,1,1,1,1,1] [1,1,1,3,1,1,5]=>[4,1,4,1,1,1,1] [2,6,1,1,1,1,1]=>[1,2,1,1,1,1,6] [6,1,1,1,1,2,1]=>[1,1,1,1,1,6,2] [2,5,2,1,1,1,1]=>[1,2,1,1,1,2,5] [5,2,1,1,1,2,1]=>[1,1,1,1,2,5,2] [2,4,3,1,1,1,1]=>[1,2,1,1,2,1,5] [2,5,1,2,1,1,1]=>[1,2,1,1,1,3,4] [4,3,1,1,1,2,1]=>[1,1,1,2,1,5,2] [5,1,2,1,1,2,1]=>[1,1,1,1,3,4,2] [2,3,4,1,1,1,1]=>[1,2,1,2,1,1,5] [2,4,2,2,1,1,1]=>[1,2,1,1,2,2,4] [2,5,1,1,2,1,1]=>[1,2,1,1,1,4,3] [3,1,5,1,1,1,1]=>[1,1,3,1,1,1,5] [3,4,1,1,1,2,1]=>[1,1,2,1,1,5,2] [4,2,2,1,1,2,1]=>[1,1,1,2,2,4,2] [5,1,1,1,3,1,1]=>[1,1,1,1,5,1,3] [5,1,1,2,1,2,1]=>[1,1,1,1,4,3,2] [2,2,5,1,1,1,1]=>[1,2,2,1,1,1,5] [2,3,3,2,1,1,1]=>[1,2,1,2,1,2,4] [2,4,1,3,1,1,1]=>[1,2,1,1,3,1,4] [2,4,2,1,2,1,1]=>[1,2,1,1,2,3,3] [2,5,1,1,1,2,1]=>[1,2,1,1,1,5,2] [3,1,4,2,1,1,1]=>[1,1,3,1,1,2,4] [3,3,2,1,1,2,1]=>[1,1,2,1,2,4,2] [4,1,1,4,1,1,1]=>[1,1,1,4,1,1,4] [4,1,3,1,1,2,1]=>[1,1,1,3,1,4,2] [4,2,1,1,3,1,1]=>[1,1,1,2,4,1,3] [4,2,1,2,1,2,1]=>[1,1,1,2,3,3,2] [5,1,1,1,2,2,1]=>[1,1,1,1,5,2,2] [2,2,4,2,1,1,1]=>[1,2,2,1,1,2,4] [2,3,2,3,1,1,1]=>[1,2,1,2,2,1,4] [2,3,3,1,2,1,1]=>[1,2,1,2,1,3,3] [2,4,1,2,2,1,1]=>[1,2,1,1,3,2,3] [2,4,2,1,1,2,1]=>[1,2,1,1,2,4,2] [3,1,3,3,1,1,1]=>[1,1,3,1,2,1,4] [3,1,4,1,2,1,1]=>[1,1,3,1,1,3,3] [3,2,1,4,1,1,1]=>[1,1,2,3,1,1,4] [3,2,3,1,1,2,1]=>[1,1,2,2,1,4,2] [3,3,1,1,3,1,1]=>[1,1,2,1,4,1,3] [3,3,1,2,1,2,1]=>[1,1,2,1,3,3,2] [4,1,1,3,2,1,1]=>[1,1,1,4,1,2,3] [4,1,2,1,3,1,1]=>[1,1,1,3,3,1,3] [4,1,2,2,1,2,1]=>[1,1,1,3,2,3,2] [4,2,1,1,2,2,1]=>[1,1,1,2,4,2,2] [2,1,1,1,1,1,6]=>[1,7,1,1,1,1,1] [6,1,2,1,1,1,1]=>[1,1,1,1,1,3,5] [2,1,1,1,1,2,5]=>[1,6,2,1,1,1,1] [5,1,2,1,1,1,2]=>[1,1,1,1,3,5,1] [2,1,1,1,1,3,4]=>[1,6,1,2,1,1,1] [2,1,1,1,2,1,5]=>[1,5,3,1,1,1,1] [4,1,2,1,1,1,3]=>[1,1,1,3,5,1,1] [2,1,1,1,1,4,3]=>[1,6,1,1,2,1,1] [2,1,1,1,2,2,4]=>[1,5,2,2,1,1,1] [2,1,1,2,1,1,5]=>[1,4,4,1,1,1,1] [3,1,1,1,1,5,1]=>[1,1,6,1,1,1,2] [3,1,2,1,1,1,4]=>[1,1,3,5,1,1,1] [4,1,2,1,1,2,2]=>[1,1,1,3,4,2,1] [5,1,1,3,1,1,1]=>[1,1,1,1,4,1,4] [5,1,2,1,2,1,1]=>[1,1,1,1,3,3,3] [2,1,1,1,1,5,2]=>[1,6,1,1,1,2,1] [2,1,1,1,2,3,3]=>[1,5,2,1,2,1,1] [2,1,1,1,3,1,4]=>[1,5,1,3,1,1,1] [2,1,1,2,1,2,4]=>[1,4,3,2,1,1,1] [2,1,2,1,1,1,5]=>[1,3,5,1,1,1,1] [3,1,1,1,2,4,1]=>[1,1,5,2,1,1,2] [3,1,2,1,1,2,3]=>[1,1,3,4,2,1,1] [4,1,1,1,4,1,1]=>[1,1,1,5,1,1,3] [4,1,2,1,1,3,1]=>[1,1,1,3,4,1,2] [4,1,1,3,1,1,2]=>[1,1,1,4,1,4,1] [4,1,2,1,2,1,2]=>[1,1,1,3,3,3,1] [5,1,2,2,1,1,1]=>[1,1,1,1,3,2,4] [2,1,1,1,2,4,2]=>[1,5,2,1,1,2,1] [2,1,1,1,3,2,3]=>[1,5,1,2,2,1,1] [2,1,1,2,1,3,3]=>[1,4,3,1,2,1,1] [2,1,1,2,2,1,4]=>[1,4,2,3,1,1,1] [2,1,2,1,1,2,4]=>[1,3,4,2,1,1,1] [3,1,1,1,3,3,1]=>[1,1,5,1,2,1,2] [3,1,1,2,1,4,1]=>[1,1,4,3,1,1,2] [3,1,1,1,4,1,2]=>[1,1,5,1,1,3,1] [3,1,2,1,1,3,2]=>[1,1,3,4,1,2,1] [3,1,1,3,1,1,3]=>[1,1,4,1,4,1,1] [3,1,2,1,2,1,3]=>[1,1,3,3,3,1,1] [4,1,1,2,3,1,1]=>[1,1,1,4,2,1,3] [4,1,1,3,1,2,1]=>[1,1,1,4,1,3,2] [4,1,2,1,2,2,1]=>[1,1,1,3,3,2,2] [4,1,2,2,1,1,2]=>[1,1,1,3,2,4,1] [1,1,1,1,6,2,1]=>[5,1,1,1,1,2,2] [2,1,1,1,1,6,1]=>[1,6,1,1,1,1,2] [1,1,1,2,5,2,1]=>[4,2,1,1,1,2,2] [2,1,1,1,2,5,1]=>[1,5,2,1,1,1,2] [1,1,1,3,4,2,1]=>[4,1,2,1,1,2,2] [1,1,2,1,5,2,1]=>[3,3,1,1,1,2,2] [2,1,1,1,3,4,1]=>[1,5,1,2,1,1,2] [2,1,1,2,1,5,1]=>[1,4,3,1,1,1,2] [1,1,1,4,3,2,1]=>[4,1,1,2,1,2,2] [1,1,2,2,4,2,1]=>[3,2,2,1,1,2,2] [1,2,1,1,5,2,1]=>[2,4,1,1,1,2,2] [1,1,1,5,1,3,1]=>[4,1,1,1,3,1,2] [2,1,1,1,4,3,1]=>[1,5,1,1,2,1,2] [2,1,1,2,2,4,1]=>[1,4,2,2,1,1,2] [1,3,1,1,1,5,1]=>[2,1,5,1,1,1,2] [2,1,2,1,1,5,1]=>[1,3,4,1,1,1,2] [1,1,1,5,2,2,1]=>[4,1,1,1,2,2,2] [1,1,2,3,3,2,1]=>[3,2,1,2,1,2,2] [1,1,3,1,4,2,1]=>[3,1,3,1,1,2,2] [1,2,1,2,4,2,1]=>[2,3,2,1,1,2,2] [2,1,1,1,5,2,1]=>[1,5,1,1,1,2,2] [1,1,2,4,1,3,1]=>[3,2,1,1,3,1,2] [2,1,1,2,3,3,1]=>[1,4,2,1,2,1,2] [1,1,4,1,1,4,1]=>[3,1,1,4,1,1,2] [2,1,1,3,1,4,1]=>[1,4,1,3,1,1,2] [1,3,1,1,2,4,1]=>[2,1,4,2,1,1,2] [2,1,2,1,2,4,1]=>[1,3,3,2,1,1,2] [2,2,1,1,1,5,1]=>[1,2,5,1,1,1,2] [1,1,2,4,2,2,1]=>[3,2,1,1,2,2,2] [1,1,3,2,3,2,1]=>[3,1,2,2,1,2,2] [1,2,1,3,3,2,1]=>[2,3,1,2,1,2,2] [1,2,2,1,4,2,1]=>[2,2,3,1,1,2,2] [2,1,1,2,4,2,1]=>[1,4,2,1,1,2,2] [1,1,3,3,1,3,1]=>[3,1,2,1,3,1,2] [1,2,1,4,1,3,1]=>[2,3,1,1,3,1,2] [1,1,4,1,2,3,1]=>[3,1,1,3,2,1,2] [2,1,1,3,2,3,1]=>[1,4,1,2,2,1,2] [1,3,1,1,3,3,1]=>[2,1,4,1,2,1,2] [2,1,2,1,3,3,1]=>[1,3,3,1,2,1,2] [1,2,3,1,1,4,1]=>[2,2,1,4,1,1,2] [1,3,1,2,1,4,1]=>[2,1,3,3,1,1,2] [2,1,2,2,1,4,1]=>[1,3,2,3,1,1,2] [2,2,1,1,2,4,1]=>[1,2,4,2,1,1,2] [1,5,1,1,1,1,3]=>[2,1,1,1,6,1,1] [1,4,1,1,1,1,4]=>[2,1,1,6,1,1,1] [4,1,1,2,1,1,3]=>[1,1,1,4,4,1,1] [1,3,2,1,1,1,4]=>[2,1,2,5,1,1,1] [1,4,1,1,1,2,3]=>[2,1,1,5,2,1,1] [3,2,1,2,1,1,3]=>[1,1,2,3,4,1,1] [4,1,1,2,1,2,2]=>[1,1,1,4,3,2,1] [1,2,3,1,1,1,4]=>[2,2,1,5,1,1,1] [1,3,1,1,1,1,5]=>[2,1,6,1,1,1,1] [1,4,1,1,2,1,3]=>[2,1,1,4,3,1,1] [2,4,1,1,1,2,2]=>[1,2,1,1,5,2,1] [2,3,1,2,1,1,3]=>[1,2,1,3,4,1,1] [3,1,1,1,2,1,4]=>[1,1,5,3,1,1,1] [4,2,1,2,1,1,2]=>[1,1,1,2,3,4,1] [4,1,1,2,2,1,2]=>[1,1,1,4,2,3,1] [1,1,4,1,1,1,4]=>[3,1,1,5,1,1,1] [1,3,2,1,1,2,3]=>[2,1,2,4,2,1,1] [1,3,1,1,1,2,4]=>[2,1,5,2,1,1,1] [1,4,1,2,1,1,3]=>[2,1,1,3,4,1,1] [2,3,1,1,1,3,2]=>[1,2,1,5,1,2,1] [2,2,1,1,2,1,4]=>[1,2,4,3,1,1,1] [3,3,1,1,2,1,2]=>[1,1,2,1,4,3,1] [3,2,1,2,1,2,2]=>[1,1,2,3,3,2,1] [3,1,1,1,2,2,3]=>[1,1,5,2,2,1,1] [1,3,1,1,1,3,3]=>[2,1,5,1,2,1,1] [1,3,1,1,2,1,4]=>[2,1,4,3,1,1,1] [2,2,2,1,1,3,2]=>[1,2,2,4,1,2,1] [2,3,1,1,2,2,2]=>[1,2,1,4,2,2,1] [2,1,3,1,1,2,3]=>[1,3,1,4,2,1,1] [2,1,2,1,2,1,4]=>[1,3,3,3,1,1,1] [2,2,2,1,2,1,3]=>[1,2,2,3,3,1,1] [2,2,1,1,2,2,3]=>[1,2,4,2,2,1,1] [3,2,1,1,3,1,2]=>[1,1,2,4,1,3,1] [3,1,2,1,2,2,2]=>[1,1,3,3,2,2,1] [3,1,1,1,2,3,2]=>[1,1,5,2,1,2,1] [3,1,1,1,3,1,3]=>[1,1,5,1,3,1,1] [2,2,1,1,1,1,5]=>[1,2,6,1,1,1,1] [2,2,1,1,1,2,4]=>[1,2,5,2,1,1,1] [2,2,1,1,1,3,3]=>[1,2,5,1,2,1,1] [2,1,1,1,5,1,2]=>[1,5,1,1,1,3,1] [2,2,1,1,1,4,2]=>[1,2,5,1,1,2,1] [2,1,3,1,1,1,4]=>[1,3,1,5,1,1,1] [2,2,1,2,1,1,4]=>[1,2,3,4,1,1,1] [2,1,1,2,4,1,2]=>[1,4,2,1,1,3,1] [2,2,1,1,2,3,2]=>[1,2,4,2,1,2,1] [2,1,1,4,1,1,3]=>[1,4,1,1,4,1,1] [2,2,1,1,3,1,3]=>[1,2,4,1,3,1,1] [2,2,1,2,1,2,3]=>[1,2,3,3,2,1,1] [2,2,2,1,1,1,4]=>[1,2,2,5,1,1,1] [2,1,1,3,3,1,2]=>[1,4,1,2,1,3,1] [2,1,2,1,4,1,2]=>[1,3,3,1,1,3,1] [2,1,1,4,1,2,2]=>[1,4,1,1,3,2,1] [2,2,1,1,3,2,2]=>[1,2,4,1,2,2,1] [2,1,3,1,1,3,2]=>[1,3,1,4,1,2,1] [2,2,1,2,1,3,2]=>[1,2,3,3,1,2,1] [2,1,2,3,1,1,3]=>[1,3,2,1,4,1,1] [2,1,3,1,2,1,3]=>[1,3,1,3,3,1,1] [2,2,1,2,2,1,3]=>[1,2,3,2,3,1,1] [2,2,2,1,1,2,3]=>[1,2,2,4,2,1,1] [1,2,2,1,2,2,1,1,1]=>[2,2,3,2,4] [1,1,1,2,2,1,2,2,1]=>[4,2,3,2,2] [1,2,5,2,1,1,1]=>[2,2,1,1,1,2,4] [1,2,3,1,1,2,1,1,1]=>[2,2,1,4,4] [1,2,1,1,3,2,1,1,1]=>[2,4,1,2,4] [1,1,1,2,3,1,1,2,1]=>[4,2,1,4,2] [1,1,1,2,1,1,3,2,1]=>[4,4,1,2,2] [1,2,3,4,1,1,1]=>[2,2,1,2,1,1,4] [1,2,1,1,1,1,1,2,1,1,1]=>[2,7,4] [1,4,3,2,1,1,1]=>[2,1,1,2,1,2,4] [1,2,3,2,1,3,1]=>[2,2,1,2,3,1,2] [1,1,1,2,3,4,1]=>[4,2,1,2,1,1,2] [1,1,1,2,1,1,1,1,1,2,1]=>[4,7,2] [1,3,1,2,3,2,1]=>[2,1,3,2,1,2,2] [1,2,3,2,1,1,1,1,1]=>[2,2,1,2,6] [1,2,1,1,1,4,1,1,1]=>[2,5,1,1,4] [1,2,1,3,1,2,1,1,1]=>[2,3,1,3,4] [1,4,1,1,1,2,1,1,1]=>[2,1,1,5,4] [1,1,1,2,3,2,1,1,1]=>[4,2,1,2,4] [1,2,1,1,1,2,1,3,1]=>[2,5,3,1,2] [1,1,1,2,1,1,1,4,1]=>[4,5,1,1,2] [1,2,1,2,1,2,1,2,1]=>[2,3,3,3,2] [1,1,1,2,1,3,1,2,1]=>[4,3,1,3,2] [1,3,1,2,1,1,1,2,1]=>[2,1,3,5,2] [1,1,1,4,1,1,1,2,1]=>[4,1,1,5,2] [1,1,1,1,1,2,3,2,1]=>[6,2,1,2,2] [1,2,1,1,1,2,1,1,1,1,1]=>[2,5,6] [1,2,1,6,1,1,1]=>[2,3,1,1,1,1,4] [1,4,1,4,1,1,1]=>[2,1,1,3,1,1,4] [1,6,1,2,1,1,1]=>[2,1,1,1,1,3,4] [1,1,1,2,1,1,1,2,1,1,1]=>[4,5,4] [1,4,1,2,1,3,1]=>[2,1,1,3,3,1,2] [1,2,1,2,1,5,1]=>[2,3,3,1,1,1,2] [1,1,1,2,1,6,1]=>[4,3,1,1,1,1,2] [1,1,1,4,1,4,1]=>[4,1,1,3,1,1,2] [1,5,1,2,1,2,1]=>[2,1,1,1,3,3,2] [1,3,1,4,1,2,1]=>[2,1,3,1,1,3,2] [1,1,1,6,1,2,1]=>[4,1,1,1,1,3,2] [1,1,1,1,1,2,1,1,1,2,1]=>[6,5,2] [1,2,1,2,2,3,2]=>[2,3,2,2,1,2,1] [5,4,3,1]=>[1,1,1,1,2,1,1,2,1,2] [5,4,2,2]=>[1,1,1,1,2,1,1,2,2,1] [5,4,2,1,1]=>[1,1,1,1,2,1,1,2,3] [5,3,3,2]=>[1,1,1,1,2,1,2,1,2,1] [5,3,3,1,1]=>[1,1,1,1,2,1,2,1,3] [5,3,2,2,1]=>[1,1,1,1,2,1,2,2,2] [4,4,3,2]=>[1,1,1,2,1,1,2,1,2,1] [4,4,3,1,1]=>[1,1,1,2,1,1,2,1,3] [4,4,2,2,1]=>[1,1,1,2,1,1,2,2,2] [4,3,3,2,1]=>[1,1,1,2,1,2,1,2,2] [4,1,3,1,2,1,1]=>[1,1,1,3,1,3,3] [2,2,1,3,1,4]=>[1,2,3,1,3,1,1,1] [2,2,2,2,2,2,1]=>[1,2,2,2,2,2,2] [2,2,2,2,3,1,1]=>[1,2,2,2,2,1,3] [2,2,2,3,1,2,1]=>[1,2,2,2,1,3,2] [2,2,2,3,2,1,1]=>[1,2,2,2,1,2,3] [2,2,2,4,1,1,1]=>[1,2,2,2,1,1,4] [2,2,3,1,2,2,1]=>[1,2,2,1,3,2,2] [2,2,3,1,3,1,1]=>[1,2,2,1,3,1,3] [2,2,3,2,1,2,1]=>[1,2,2,1,2,3,2] [2,2,3,2,2,1,1]=>[1,2,2,1,2,2,3] [2,2,3,3,1,1,1]=>[1,2,2,1,2,1,4] [2,2,4,1,1,2,1]=>[1,2,2,1,1,4,2] [2,2,4,1,2,1,1]=>[1,2,2,1,1,3,3] [2,3,1,2,2,2,1]=>[1,2,1,3,2,2,2] [2,3,1,2,3,1,1]=>[1,2,1,3,2,1,3] [2,3,1,3,1,2,1]=>[1,2,1,3,1,3,2] [2,3,1,3,2,1,1]=>[1,2,1,3,1,2,3] [2,3,1,4,1,1,1]=>[1,2,1,3,1,1,4] [2,3,2,1,2,2,1]=>[1,2,1,2,3,2,2] [2,3,2,1,3,1,1]=>[1,2,1,2,3,1,3] [2,3,2,2,1,2,1]=>[1,2,1,2,2,3,2] [2,3,2,2,2,1,1]=>[1,2,1,2,2,2,3] [2,3,3,1,1,2,1]=>[1,2,1,2,1,4,2] [2,4,1,1,2,2,1]=>[1,2,1,1,4,2,2] [2,4,1,1,3,1,1]=>[1,2,1,1,4,1,3] [2,4,1,2,1,2,1]=>[1,2,1,1,3,3,2] [3,1,2,2,2,2,1]=>[1,1,3,2,2,2,2] [3,1,2,2,3,1,1]=>[1,1,3,2,2,1,3] [3,1,2,3,1,2,1]=>[1,1,3,2,1,3,2] [3,1,2,3,2,1,1]=>[1,1,3,2,1,2,3] [3,1,2,4,1,1,1]=>[1,1,3,2,1,1,4] [3,1,3,1,2,2,1]=>[1,1,3,1,3,2,2] [3,1,3,1,3,1,1]=>[1,1,3,1,3,1,3] [3,1,3,2,1,2,1]=>[1,1,3,1,2,3,2] [3,1,3,2,2,1,1]=>[1,1,3,1,2,2,3] [3,1,4,1,1,2,1]=>[1,1,3,1,1,4,2] [3,2,1,2,2,2,1]=>[1,1,2,3,2,2,2] [3,2,1,2,3,1,1]=>[1,1,2,3,2,1,3] [3,2,1,3,1,2,1]=>[1,1,2,3,1,3,2] [3,2,1,3,2,1,1]=>[1,1,2,3,1,2,3] [3,2,2,1,2,2,1]=>[1,1,2,2,3,2,2] [3,2,2,1,3,1,1]=>[1,1,2,2,3,1,3] [3,2,2,2,1,2,1]=>[1,1,2,2,2,3,2] [3,2,2,2,2,1,1]=>[1,1,2,2,2,2,3] [3,2,2,3,1,1,1]=>[1,1,2,2,2,1,4] [3,2,3,1,2,1,1]=>[1,1,2,2,1,3,3] [3,2,3,2,1,1,1]=>[1,1,2,2,1,2,4] [3,2,4,1,1,1,1]=>[1,1,2,2,1,1,5] [3,3,1,1,2,2,1]=>[1,1,2,1,4,2,2] [3,3,1,2,2,1,1]=>[1,1,2,1,3,2,3] [3,3,1,3,1,1,1]=>[1,1,2,1,3,1,4] [3,3,2,1,2,1,1]=>[1,1,2,1,2,3,3] [3,3,2,2,1,1,1]=>[1,1,2,1,2,2,4] [3,3,3,1,1,1,1]=>[1,1,2,1,2,1,5] [3,4,1,1,2,1,1]=>[1,1,2,1,1,4,3] [3,4,1,2,1,1,1]=>[1,1,2,1,1,3,4] [3,4,2,1,1,1,1]=>[1,1,2,1,1,2,5] [3,5,1,1,1,1,1]=>[1,1,2,1,1,1,6] [4,1,1,2,2,2,1]=>[1,1,1,4,2,2,2] [4,1,2,2,2,1,1]=>[1,1,1,3,2,2,3] [4,1,2,3,1,1,1]=>[1,1,1,3,2,1,4] [4,1,3,2,1,1,1]=>[1,1,1,3,1,2,4] [4,1,4,1,1,1,1]=>[1,1,1,3,1,1,5] [4,2,1,2,2,1,1]=>[1,1,1,2,3,2,3] [4,2,1,3,1,1,1]=>[1,1,1,2,3,1,4] [4,2,2,1,2,1,1]=>[1,1,1,2,2,3,3] [4,2,2,2,1,1,1]=>[1,1,1,2,2,2,4] [4,2,3,1,1,1,1]=>[1,1,1,2,2,1,5] [4,3,1,1,2,1,1]=>[1,1,1,2,1,4,3] [4,3,1,2,1,1,1]=>[1,1,1,2,1,3,4] [4,3,2,1,1,1,1]=>[1,1,1,2,1,2,5] [4,4,1,1,1,1,1]=>[1,1,1,2,1,1,6] [5,1,1,2,2,1,1]=>[1,1,1,1,4,2,3] [5,1,3,1,1,1,1]=>[1,1,1,1,3,1,5] [5,2,1,1,2,1,1]=>[1,1,1,1,2,4,3] [5,2,1,2,1,1,1]=>[1,1,1,1,2,3,4] [5,2,2,1,1,1,1]=>[1,1,1,1,2,2,5] [5,3,1,1,1,1,1]=>[1,1,1,1,2,1,6] [6,1,1,1,2,1,1]=>[1,1,1,1,1,5,3] [6,1,1,2,1,1,1]=>[1,1,1,1,1,4,4] [6,2,1,1,1,1,1]=>[1,1,1,1,1,2,6] [7,1,1,1,1,1,1]=>[1,1,1,1,1,1,7] [2,1,2,2,2,2,2]=>[1,3,2,2,2,2,1] [2,1,1,3,2,2,2]=>[1,4,1,2,2,2,1] [2,1,2,1,3,2,2]=>[1,3,3,1,2,2,1] [2,1,1,2,3,2,2]=>[1,4,2,1,2,2,1] [2,1,1,1,4,2,2]=>[1,5,1,1,2,2,1] [2,1,2,2,1,3,2]=>[1,3,2,3,1,2,1] [2,1,1,3,1,3,2]=>[1,4,1,3,1,2,1] [2,1,2,1,2,3,2]=>[1,3,3,2,1,2,1] [2,1,1,2,2,3,2]=>[1,4,2,2,1,2,1] [2,1,1,1,3,3,2]=>[1,5,1,2,1,2,1] [2,1,2,1,1,4,2]=>[1,3,4,1,1,2,1] [2,1,1,2,1,4,2]=>[1,4,3,1,1,2,1] [2,1,2,2,2,1,3]=>[1,3,2,2,3,1,1] [2,1,1,3,2,1,3]=>[1,4,1,2,3,1,1] [2,1,2,1,3,1,3]=>[1,3,3,1,3,1,1] [2,1,1,2,3,1,3]=>[1,4,2,1,3,1,1] [2,1,1,1,4,1,3]=>[1,5,1,1,3,1,1] [2,1,2,2,1,2,3]=>[1,3,2,3,2,1,1] [2,1,1,3,1,2,3]=>[1,4,1,3,2,1,1] [2,1,2,1,2,2,3]=>[1,3,3,2,2,1,1] [2,1,1,2,2,2,3]=>[1,4,2,2,2,1,1] [2,1,2,1,1,3,3]=>[1,3,4,1,2,1,1] [2,1,2,2,1,1,4]=>[1,3,2,4,1,1,1] [2,1,1,3,1,1,4]=>[1,4,1,4,1,1,1] [3,1,1,3,2,2,1]=>[1,1,4,1,2,2,2] [3,1,2,1,3,2,1]=>[1,1,3,3,1,2,2] [3,1,1,2,3,2,1]=>[1,1,4,2,1,2,2] [3,1,1,1,4,2,1]=>[1,1,5,1,1,2,2] [3,1,2,2,1,3,1]=>[1,1,3,2,3,1,2] [3,1,1,3,1,3,1]=>[1,1,4,1,3,1,2] [3,1,2,1,2,3,1]=>[1,1,3,3,2,1,2] [3,1,1,2,2,3,1]=>[1,1,4,2,2,1,2] [3,1,2,1,1,4,1]=>[1,1,3,4,1,1,2] [3,1,2,2,2,1,2]=>[1,1,3,2,2,3,1] [3,1,1,3,2,1,2]=>[1,1,4,1,2,3,1] [3,1,2,1,3,1,2]=>[1,1,3,3,1,3,1] [3,1,1,2,3,1,2]=>[1,1,4,2,1,3,1] [3,1,2,2,1,2,2]=>[1,1,3,2,3,2,1] [3,1,1,3,1,2,2]=>[1,1,4,1,3,2,1] [3,1,1,2,2,2,2]=>[1,1,4,2,2,2,1] [3,1,1,1,3,2,2]=>[1,1,5,1,2,2,1] [3,1,1,2,1,3,2]=>[1,1,4,3,1,2,1] [3,1,1,1,1,4,2]=>[1,1,6,1,1,2,1] [3,1,2,2,1,1,3]=>[1,1,3,2,4,1,1] [3,1,1,2,2,1,3]=>[1,1,4,2,3,1,1] [3,1,1,2,1,2,3]=>[1,1,4,3,2,1,1] [3,1,1,1,1,3,3]=>[1,1,6,1,2,1,1] [3,1,1,2,1,1,4]=>[1,1,4,4,1,1,1] [3,1,1,1,1,2,4]=>[1,1,6,2,1,1,1] [3,1,1,1,1,1,5]=>[1,1,7,1,1,1,1] [4,1,1,1,3,2,1]=>[1,1,1,5,1,2,2] [4,1,1,2,1,3,1]=>[1,1,1,4,3,1,2] [4,1,1,1,2,3,1]=>[1,1,1,5,2,1,2] [4,1,1,1,1,4,1]=>[1,1,1,6,1,1,2] [4,1,1,1,3,1,2]=>[1,1,1,5,1,3,1] [4,1,1,1,2,2,2]=>[1,1,1,5,2,2,1] [4,1,1,1,1,3,2]=>[1,1,1,6,1,2,1] [4,1,1,1,2,1,3]=>[1,1,1,5,3,1,1] [4,1,1,1,1,2,3]=>[1,1,1,6,2,1,1] [4,1,1,1,1,1,4]=>[1,1,1,7,1,1,1] [5,1,1,1,1,3,1]=>[1,1,1,1,6,1,2] [5,1,1,2,1,1,2]=>[1,1,1,1,4,4,1] [5,1,1,1,2,1,2]=>[1,1,1,1,5,3,1] [5,1,1,1,1,2,2]=>[1,1,1,1,6,2,1] [5,1,1,1,1,1,3]=>[1,1,1,1,7,1,1] [6,1,1,1,1,1,2]=>[1,1,1,1,1,7,1] [1,3,2,2,2,2,1]=>[2,1,2,2,2,2,2] [2,1,3,2,2,2,1]=>[1,3,1,2,2,2,2] [1,2,3,2,2,2,1]=>[2,2,1,2,2,2,2] [1,1,4,2,2,2,1]=>[3,1,1,2,2,2,2] [2,2,1,3,2,2,1]=>[1,2,3,1,2,2,2] [1,3,1,3,2,2,1]=>[2,1,3,1,2,2,2] [2,1,2,3,2,2,1]=>[1,3,2,1,2,2,2] [1,2,2,3,2,2,1]=>[2,2,2,1,2,2,2] [1,1,3,3,2,2,1]=>[3,1,2,1,2,2,2] [2,1,1,4,2,2,1]=>[1,4,1,1,2,2,2] [1,2,1,4,2,2,1]=>[2,3,1,1,2,2,2] [2,2,2,1,3,2,1]=>[1,2,2,3,1,2,2] [1,3,2,1,3,2,1]=>[2,1,2,3,1,2,2] [2,1,3,1,3,2,1]=>[1,3,1,3,1,2,2] [1,2,3,1,3,2,1]=>[2,2,1,3,1,2,2] [1,1,4,1,3,2,1]=>[3,1,1,3,1,2,2] [2,2,1,2,3,2,1]=>[1,2,3,2,1,2,2] [2,1,2,2,3,2,1]=>[1,3,2,2,1,2,2] [1,2,2,2,3,2,1]=>[2,2,2,2,1,2,2] [2,1,1,3,3,2,1]=>[1,4,1,2,1,2,2] [2,2,1,1,4,2,1]=>[1,2,4,1,1,2,2] [1,3,1,1,4,2,1]=>[2,1,4,1,1,2,2] [2,1,2,1,4,2,1]=>[1,3,3,1,1,2,2] [2,2,2,2,1,3,1]=>[1,2,2,2,3,1,2] [1,3,2,2,1,3,1]=>[2,1,2,2,3,1,2] [2,1,3,2,1,3,1]=>[1,3,1,2,3,1,2] [1,1,4,2,1,3,1]=>[3,1,1,2,3,1,2] [2,2,1,3,1,3,1]=>[1,2,3,1,3,1,2] [1,3,1,3,1,3,1]=>[2,1,3,1,3,1,2] [2,1,2,3,1,3,1]=>[1,3,2,1,3,1,2] [1,2,2,3,1,3,1]=>[2,2,2,1,3,1,2] [2,1,1,4,1,3,1]=>[1,4,1,1,3,1,2] [2,2,2,1,2,3,1]=>[1,2,2,3,2,1,2] [1,3,2,1,2,3,1]=>[2,1,2,3,2,1,2] [2,1,3,1,2,3,1]=>[1,3,1,3,2,1,2] [1,2,3,1,2,3,1]=>[2,2,1,3,2,1,2] [2,2,1,2,2,3,1]=>[1,2,3,2,2,1,2] [1,3,1,2,2,3,1]=>[2,1,3,2,2,1,2] [2,1,2,2,2,3,1]=>[1,3,2,2,2,1,2] [1,2,2,2,2,3,1]=>[2,2,2,2,2,1,2] [1,1,3,2,2,3,1]=>[3,1,2,2,2,1,2] [1,2,1,3,2,3,1]=>[2,3,1,2,2,1,2] [1,1,2,3,2,3,1]=>[3,2,1,2,2,1,2] [1,1,1,4,2,3,1]=>[4,1,1,2,2,1,2] [2,2,1,1,3,3,1]=>[1,2,4,1,2,1,2] [1,2,2,1,3,3,1]=>[2,2,3,1,2,1,2] [1,1,3,1,3,3,1]=>[3,1,3,1,2,1,2] [1,2,1,2,3,3,1]=>[2,3,2,1,2,1,2] [1,1,2,2,3,3,1]=>[3,2,2,1,2,1,2] [1,1,1,3,3,3,1]=>[4,1,2,1,2,1,2] [1,2,1,1,4,3,1]=>[2,4,1,1,2,1,2] [1,1,2,1,4,3,1]=>[3,3,1,1,2,1,2] [1,1,1,2,4,3,1]=>[4,2,1,1,2,1,2] [1,1,1,1,5,3,1]=>[5,1,1,1,2,1,2] [2,2,2,1,1,4,1]=>[1,2,2,4,1,1,2] [1,3,2,1,1,4,1]=>[2,1,2,4,1,1,2] [2,1,3,1,1,4,1]=>[1,3,1,4,1,1,2] [2,2,1,2,1,4,1]=>[1,2,3,3,1,1,2] [1,2,2,2,1,4,1]=>[2,2,2,3,1,1,2] [1,1,3,2,1,4,1]=>[3,1,2,3,1,1,2] [1,2,1,3,1,4,1]=>[2,3,1,3,1,1,2] [1,1,2,3,1,4,1]=>[3,2,1,3,1,1,2] [1,2,2,1,2,4,1]=>[2,2,3,2,1,1,2] [1,1,3,1,2,4,1]=>[3,1,3,2,1,1,2] [1,2,1,2,2,4,1]=>[2,3,2,2,1,1,2] [1,1,2,2,2,4,1]=>[3,2,2,2,1,1,2] [1,1,1,3,2,4,1]=>[4,1,2,2,1,1,2] [1,2,1,1,3,4,1]=>[2,4,1,2,1,1,2] [1,1,2,1,3,4,1]=>[3,3,1,2,1,1,2] [1,1,1,1,4,4,1]=>[5,1,1,2,1,1,2] [1,2,2,1,1,5,1]=>[2,2,4,1,1,1,2] [1,1,3,1,1,5,1]=>[3,1,4,1,1,1,2] [1,1,2,2,1,5,1]=>[3,2,3,1,1,1,2] [1,1,1,3,1,5,1]=>[4,1,3,1,1,1,2] [1,2,1,1,2,5,1]=>[2,4,2,1,1,1,2] [1,1,2,1,2,5,1]=>[3,3,2,1,1,1,2] [1,1,1,2,2,5,1]=>[4,2,2,1,1,1,2] [1,1,1,1,3,5,1]=>[5,1,2,1,1,1,2] [1,2,1,1,1,6,1]=>[2,5,1,1,1,1,2] [1,1,2,1,1,6,1]=>[3,4,1,1,1,1,2] [1,1,1,1,2,6,1]=>[5,2,1,1,1,1,2] [1,1,1,1,1,7,1]=>[6,1,1,1,1,1,2] [1,2,3,1,1,2,3]=>[2,2,1,4,2,1,1] [1,3,1,1,3,1,3]=>[2,1,4,1,3,1,1] [1,3,2,1,2,1,3]=>[2,1,2,3,3,1,1] [1,3,1,1,2,2,3]=>[2,1,4,2,2,1,1] [2,2,2,1,2,2,2]=>[1,2,2,3,2,2,1] [2,3,1,2,1,2,2]=>[1,2,1,3,3,2,1] [2,3,1,1,2,1,3]=>[1,2,1,4,3,1,1] [2,3,1,1,1,2,3]=>[1,2,1,5,2,1,1] [2,3,1,1,1,1,4]=>[1,2,1,6,1,1,1] [2,4,1,1,1,1,3]=>[1,2,1,1,6,1,1] [3,2,1,2,2,1,2]=>[1,1,2,3,2,3,1] [3,2,1,1,2,2,2]=>[1,1,2,4,2,2,1] [3,2,1,1,1,3,2]=>[1,1,2,5,1,2,1] [3,3,1,1,1,2,2]=>[1,1,2,1,5,2,1] [3,2,1,1,2,1,3]=>[1,1,2,4,3,1,1] [3,2,1,1,1,2,3]=>[1,1,2,5,2,1,1] [3,2,1,1,1,1,4]=>[1,1,2,6,1,1,1] [3,3,1,1,1,1,3]=>[1,1,2,1,6,1,1] [4,2,1,1,2,1,2]=>[1,1,1,2,4,3,1] [4,2,1,1,1,2,2]=>[1,1,1,2,5,2,1] [4,2,1,1,1,1,3]=>[1,1,1,2,6,1,1] [2,2,2,2,2,1,2]=>[1,2,2,2,2,3,1] [2,1,3,2,2,1,2]=>[1,3,1,2,2,3,1] [2,2,1,3,2,1,2]=>[1,2,3,1,2,3,1] [2,1,2,3,2,1,2]=>[1,3,2,1,2,3,1] [2,1,1,4,2,1,2]=>[1,4,1,1,2,3,1] [2,2,2,1,3,1,2]=>[1,2,2,3,1,3,1] [2,1,3,1,3,1,2]=>[1,3,1,3,1,3,1] [2,2,1,2,3,1,2]=>[1,2,3,2,1,3,1] [2,1,2,2,3,1,2]=>[1,3,2,2,1,3,1] [2,2,1,1,4,1,2]=>[1,2,4,1,1,3,1] [2,2,2,2,1,2,2]=>[1,2,2,2,3,2,1] [2,1,3,2,1,2,2]=>[1,3,1,2,3,2,1] [2,2,1,3,1,2,2]=>[1,2,3,1,3,2,1] [2,1,2,3,1,2,2]=>[1,3,2,1,3,2,1] [2,1,3,1,2,2,2]=>[1,3,1,3,2,2,1] [2,2,1,2,2,2,2]=>[1,2,3,2,2,2,1] [2,2,2,2,1,1,3]=>[1,2,2,2,4,1,1] [2,1,3,2,1,1,3]=>[1,3,1,2,4,1,1] [2,2,1,3,1,1,3]=>[1,2,3,1,4,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1]=>[13] [1,3,1,1,1,1,1,1,1,1,1]=>[2,1,10] [1,1,1,3,1,1,1,1,1,1,1]=>[4,1,8] [1,5,1,1,1,1,1,1,1]=>[2,1,1,1,8] [1,2,1,2,1,1,1,1,1,1,1]=>[2,3,8] [1,1,1,1,1,3,1,1,1,1,1]=>[6,1,6] [1,3,1,3,1,1,1,1,1]=>[2,1,3,1,6] [1,1,1,5,1,1,1,1,1]=>[4,1,1,1,6] [1,7,1,1,1,1,1]=>[2,1,1,1,1,1,6] [1,2,1,4,1,1,1,1,1]=>[2,3,1,1,6] [1,1,1,2,1,2,1,1,1,1,1]=>[4,3,6] [1,4,1,2,1,1,1,1,1]=>[2,1,1,3,6] [1,1,1,1,1,1,1,3,1,1,1]=>[8,1,4] [1,3,1,1,1,3,1,1,1]=>[2,1,5,1,4] [1,1,1,3,1,3,1,1,1]=>[4,1,3,1,4] [1,5,1,3,1,1,1]=>[2,1,1,1,3,1,4] [1,2,1,2,1,3,1,1,1]=>[2,3,3,1,4] [1,1,1,1,1,5,1,1,1]=>[6,1,1,1,4] [1,3,1,5,1,1,1]=>[2,1,3,1,1,1,4] [1,1,1,7,1,1,1]=>[4,1,1,1,1,1,4] [1,9,1,1,1]=>[2,1,1,1,1,1,1,1,4] [1,1,1,2,1,4,1,1,1]=>[4,3,1,1,4] [1,1,1,1,1,2,1,2,1,1,1]=>[6,3,4] [1,3,1,2,1,2,1,1,1]=>[2,1,3,3,4] [1,1,1,4,1,2,1,1,1]=>[4,1,1,3,4] [1,1,1,1,1,1,1,1,1,3,1]=>[10,1,2] [1,3,1,1,1,1,1,3,1]=>[2,1,7,1,2] [1,1,1,3,1,1,1,3,1]=>[4,1,5,1,2] [1,5,1,1,1,3,1]=>[2,1,1,1,5,1,2] [1,2,1,2,1,1,1,3,1]=>[2,3,5,1,2] [1,1,1,1,1,3,1,3,1]=>[6,1,3,1,2] [1,7,1,3,1]=>[2,1,1,1,1,1,3,1,2] [1,1,1,2,1,2,1,3,1]=>[4,3,3,1,2] [1,1,1,1,1,1,1,5,1]=>[8,1,1,1,2] [1,5,1,5,1]=>[2,1,1,1,3,1,1,1,2] [1,3,1,7,1]=>[2,1,3,1,1,1,1,1,2] [1,1,1,9,1]=>[4,1,1,1,1,1,1,1,2] [1,11,1]=>[2,1,1,1,1,1,1,1,1,1,2] [1,2,1,8,1]=>[2,3,1,1,1,1,1,1,2] [1,4,1,6,1]=>[2,1,1,3,1,1,1,1,2] [1,2,3,6,1]=>[2,2,1,2,1,1,1,1,2] [1,1,1,1,1,2,1,4,1]=>[6,3,1,1,2] [1,6,1,4,1]=>[2,1,1,1,1,3,1,1,2] [1,4,1,1,1,4,1]=>[2,1,1,5,1,1,2] [1,2,1,1,1,1,1,4,1]=>[2,7,1,1,2] [1,4,3,4,1]=>[2,1,1,2,1,2,1,1,2] [1,2,5,4,1]=>[2,2,1,1,1,2,1,1,2] [1,1,1,1,1,1,1,2,1,2,1]=>[8,3,2] [1,3,1,1,1,2,1,2,1]=>[2,1,5,3,2] [1,1,1,3,1,2,1,2,1]=>[4,1,3,3,2] [1,1,1,1,1,4,1,2,1]=>[6,1,1,3,2] [1,8,1,2,1]=>[2,1,1,1,1,1,1,3,2] [1,2,1,5,1,2,1]=>[2,3,1,1,1,3,2] [1,4,1,3,1,2,1]=>[2,1,1,3,1,3,2] [1,2,1,1,1,3,1,2,1]=>[2,5,1,3,2] [1,2,3,3,1,2,1]=>[2,2,1,2,1,3,2] [1,6,1,1,1,2,1]=>[2,1,1,1,1,5,2] [1,2,1,3,1,1,1,2,1]=>[2,3,1,5,2] [1,4,1,1,1,1,1,2,1]=>[2,1,1,7,2] [1,2,1,1,1,1,1,1,1,2,1]=>[2,9,2] [1,2,3,1,1,1,1,2,1]=>[2,2,1,6,2] [1,4,3,1,1,2,1]=>[2,1,1,2,1,4,2] [1,2,1,1,3,1,1,2,1]=>[2,4,1,4,2] [1,2,5,1,1,2,1]=>[2,2,1,1,1,4,2] [1,2,2,1,2,1,1,2,1]=>[2,2,3,4,2] [1,6,3,2,1]=>[2,1,1,1,1,2,1,2,2] [1,4,1,1,3,2,1]=>[2,1,1,4,1,2,2] [1,2,1,1,1,1,3,2,1]=>[2,6,1,2,2] [1,4,5,2,1]=>[2,1,1,2,1,1,1,2,2] [1,2,7,2,1]=>[2,2,1,1,1,1,1,2,2] [1,4,2,1,2,2,1]=>[2,1,1,2,3,2,2] [1,2,1,1,2,1,2,2,1]=>[2,4,3,2,2] [1,2,4,1,2,2,1]=>[2,2,1,1,3,2,2] [1,2,2,1,1,1,2,2,1]=>[2,2,5,2,2] [1,1,1,1,1,1,2,1,1,1,1,1]=>[7,6] [1,1,1,1,1,1,3,1,1,1,1]=>[7,1,5] [3,2,1,1,2,4]=>[1,1,2,4,2,1,1,1] [3,2,1,1,1,5]=>[1,1,2,5,1,1,1,1] [2,3,1,1,3,3]=>[1,2,1,4,1,2,1,1] [2,3,1,1,2,4]=>[1,2,1,4,2,1,1,1] [2,3,1,1,1,5]=>[1,2,1,5,1,1,1,1] [3,1,2,2,1,4]=>[1,1,3,2,3,1,1,1] [2,2,2,2,2,3]=>[1,2,2,2,2,2,1,1] [2,2,2,2,1,4]=>[1,2,2,2,3,1,1,1] [3,1,2,1,2,4]=>[1,1,3,3,2,1,1,1] [3,1,2,1,1,5]=>[1,1,3,4,1,1,1,1] [2,2,2,1,3,3]=>[1,2,2,3,1,2,1,1] [2,2,2,1,2,4]=>[1,2,2,3,2,1,1,1] [2,2,2,1,1,5]=>[1,2,2,4,1,1,1,1] [2,1,3,3,1,3]=>[1,3,1,2,1,3,1,1] [2,1,3,2,2,3]=>[1,3,1,2,2,2,1,1] [2,1,3,2,1,4]=>[1,3,1,2,3,1,1,1] [2,1,3,1,3,3]=>[1,3,1,3,1,2,1,1] [2,1,3,1,2,4]=>[1,3,1,3,2,1,1,1] [2,1,3,1,1,5]=>[1,3,1,4,1,1,1,1] [2,1,1,1,4,4]=>[1,5,1,1,2,1,1,1] [2,1,2,2,3,3]=>[1,3,2,2,1,2,1,1] [2,1,2,1,3,4]=>[1,3,3,1,2,1,1,1] [2,1,3,3,2,2]=>[1,3,1,2,1,2,2,1] [2,1,4,2,1,3]=>[1,3,1,1,2,3,1,1] [2,1,4,1,1,4]=>[1,3,1,1,4,1,1,1] [3,2,1,1,3,3]=>[1,1,2,4,1,2,1,1] [3,2,2,2,2,2]=>[1,1,2,2,2,2,2,1] [3,2,2,1,2,3]=>[1,1,2,2,3,2,1,1] [3,1,1,2,3,3]=>[1,1,4,2,1,2,1,1] [3,1,1,1,3,4]=>[1,1,5,1,2,1,1,1] [3,1,2,3,2,2]=>[1,1,3,2,1,2,2,1] [3,1,2,2,2,3]=>[1,1,3,2,2,2,1,1] [3,1,3,2,1,3]=>[1,1,3,1,2,3,1,1] [3,1,3,1,1,4]=>[1,1,3,1,4,1,1,1] [2,1,1,1,6,2]=>[1,5,1,1,1,1,2,1] [3,1,1,1,1,6]=>[1,1,6,1,1,1,1,1] [2,1,1,2,5,2]=>[1,4,2,1,1,1,2,1] [3,1,1,1,2,5]=>[1,1,5,2,1,1,1,1] [2,1,1,3,4,2]=>[1,4,1,2,1,1,2,1] [2,1,2,1,5,2]=>[1,3,3,1,1,1,2,1] [3,1,1,2,1,5]=>[1,1,4,3,1,1,1,1] [2,1,1,4,3,2]=>[1,4,1,1,2,1,2,1] [2,1,2,2,4,2]=>[1,3,2,2,1,1,2,1] [2,2,1,1,5,2]=>[1,2,4,1,1,1,2,1] [2,1,1,5,1,3]=>[1,4,1,1,1,3,1,1] [3,1,1,1,4,3]=>[1,1,5,1,1,2,1,1] [3,1,1,2,2,4]=>[1,1,4,2,2,1,1,1] [2,1,1,5,2,2]=>[1,4,1,1,1,2,2,1] [2,1,2,3,3,2]=>[1,3,2,1,2,1,2,1] [2,1,3,1,4,2]=>[1,3,1,3,1,1,2,1] [2,2,1,2,4,2]=>[1,2,3,2,1,1,2,1] [3,1,1,1,5,2]=>[1,1,5,1,1,1,2,1] [2,1,2,4,1,3]=>[1,3,2,1,1,3,1,1] [3,1,1,3,1,4]=>[1,1,4,1,3,1,1,1] [2,1,2,4,2,2]=>[1,3,2,1,1,2,2,1] [2,1,3,2,3,2]=>[1,3,1,2,2,1,2,1] [2,2,1,3,3,2]=>[1,2,3,1,2,1,2,1] [2,2,2,1,4,2]=>[1,2,2,3,1,1,2,1] [3,1,1,2,4,2]=>[1,1,4,2,1,1,2,1] [2,2,1,4,1,3]=>[1,2,3,1,1,3,1,1] [2,1,4,1,2,3]=>[1,3,1,1,3,2,1,1] [3,1,1,3,2,3]=>[1,1,4,1,2,2,1,1] [3,1,2,1,3,3]=>[1,1,3,3,1,2,1,1] [2,2,3,1,1,4]=>[1,2,2,1,4,1,1,1] [2,3,1,2,1,4]=>[1,2,1,3,3,1,1,1] [2,3,2,2,2,2]=>[1,2,1,2,2,2,2,1] [3,1,3,2,2,2]=>[1,1,3,1,2,2,2,1] [2,2,3,2,2,2]=>[1,2,2,1,2,2,2,1] [2,1,4,2,2,2]=>[1,3,1,1,2,2,2,1] [3,2,1,3,2,2]=>[1,1,2,3,1,2,2,1] [2,3,1,3,2,2]=>[1,2,1,3,1,2,2,1] [2,2,2,3,2,2]=>[1,2,2,2,1,2,2,1] [3,1,1,4,2,2]=>[1,1,4,1,1,2,2,1] [2,2,1,4,2,2]=>[1,2,3,1,1,2,2,1] [3,2,2,1,3,2]=>[1,1,2,2,3,1,2,1] [2,3,2,1,3,2]=>[1,2,1,2,3,1,2,1] [3,1,3,1,3,2]=>[1,1,3,1,3,1,2,1] [2,2,3,1,3,2]=>[1,2,2,1,3,1,2,1] [2,1,4,1,3,2]=>[1,3,1,1,3,1,2,1] [3,2,1,2,3,2]=>[1,1,2,3,2,1,2,1] [2,3,1,2,3,2]=>[1,2,1,3,2,1,2,1] [3,1,2,2,3,2]=>[1,1,3,2,2,1,2,1] [2,2,2,2,3,2]=>[1,2,2,2,2,1,2,1] [3,1,1,3,3,2]=>[1,1,4,1,2,1,2,1] [3,2,1,1,4,2]=>[1,1,2,4,1,1,2,1] [2,3,1,1,4,2]=>[1,2,1,4,1,1,2,1] [3,1,2,1,4,2]=>[1,1,3,3,1,1,2,1] [3,2,2,2,1,3]=>[1,1,2,2,2,3,1,1] [2,3,2,2,1,3]=>[1,2,1,2,2,3,1,1] [2,2,3,2,1,3]=>[1,2,2,1,2,3,1,1] [3,2,1,3,1,3]=>[1,1,2,3,1,3,1,1] [2,3,1,3,1,3]=>[1,2,1,3,1,3,1,1] [3,1,2,3,1,3]=>[1,1,3,2,1,3,1,1] [2,2,2,3,1,3]=>[1,2,2,2,1,3,1,1] [3,1,1,4,1,3]=>[1,1,4,1,1,3,1,1] [2,3,2,1,2,3]=>[1,2,1,2,3,2,1,1] [3,1,3,1,2,3]=>[1,1,3,1,3,2,1,1] [2,2,3,1,2,3]=>[1,2,2,1,3,2,1,1] [3,2,1,2,2,3]=>[1,1,2,3,2,2,1,1] [2,3,1,2,2,3]=>[1,2,1,3,2,2,1,1] [2,2,1,3,2,3]=>[1,2,3,1,2,2,1,1] [2,1,2,3,2,3]=>[1,3,2,1,2,2,1,1] [2,1,1,4,2,3]=>[1,4,1,1,2,2,1,1] [2,2,1,2,3,3]=>[1,2,3,2,1,2,1,1] [2,1,1,3,3,3]=>[1,4,1,2,1,2,1,1] [2,2,1,1,4,3]=>[1,2,4,1,1,2,1,1] [2,1,2,1,4,3]=>[1,3,3,1,1,2,1,1] [2,1,1,2,4,3]=>[1,4,2,1,1,2,1,1] [2,1,1,1,5,3]=>[1,5,1,1,1,2,1,1] [3,2,2,1,1,4]=>[1,1,2,2,4,1,1,1] [2,3,2,1,1,4]=>[1,2,1,2,4,1,1,1] [3,2,1,2,1,4]=>[1,1,2,3,3,1,1,1] [2,1,2,3,1,4]=>[1,3,2,1,3,1,1,1] [2,1,1,4,1,4]=>[1,4,1,1,3,1,1,1] [2,2,1,2,2,4]=>[1,2,3,2,2,1,1,1] [2,1,2,2,2,4]=>[1,3,2,2,2,1,1,1] [2,1,1,3,2,4]=>[1,4,1,2,2,1,1,1] [2,2,1,1,3,4]=>[1,2,4,1,2,1,1,1] [2,1,1,2,3,4]=>[1,4,2,1,2,1,1,1] [2,2,1,2,1,5]=>[1,2,3,3,1,1,1,1] [2,1,2,2,1,5]=>[1,3,2,3,1,1,1,1] [2,1,1,3,1,5]=>[1,4,1,3,1,1,1,1] [2,2,1,1,2,5]=>[1,2,4,2,1,1,1,1] [2,1,2,1,2,5]=>[1,3,3,2,1,1,1,1] [2,1,1,2,2,5]=>[1,4,2,2,1,1,1,1] [2,1,1,1,3,5]=>[1,5,1,2,1,1,1,1] [2,2,1,1,1,6]=>[1,2,5,1,1,1,1,1] [2,1,2,1,1,6]=>[1,3,4,1,1,1,1,1] [2,1,1,2,1,6]=>[1,4,3,1,1,1,1,1] [2,1,1,1,2,6]=>[1,5,2,1,1,1,1,1] [2,1,1,1,1,7]=>[1,6,1,1,1,1,1,1] [1,1,6,6]=>[3,1,1,1,1,2,1,1,1,1,1] [6,6,1,1]=>[1,1,1,1,1,2,1,1,1,1,3] [1,1,5,1,1,5]=>[3,1,1,1,4,1,1,1,1] [5,1,1,5,1,1]=>[1,1,1,1,4,1,1,1,3] [1,1,4,1,2,5]=>[3,1,1,3,2,1,1,1,1] [1,1,5,2,1,4]=>[3,1,1,1,2,3,1,1,1] [4,1,2,5,1,1]=>[1,1,1,3,2,1,1,1,3] [5,2,1,4,1,1]=>[1,1,1,1,2,3,1,1,3] [1,1,3,1,3,5]=>[3,1,3,1,2,1,1,1,1] [1,1,4,1,1,1,1,4]=>[3,1,1,6,1,1,1] [1,1,5,3,1,3]=>[3,1,1,1,2,1,3,1,1] [3,1,3,5,1,1]=>[1,1,3,1,2,1,1,1,3] [4,1,1,1,1,4,1,1]=>[1,1,1,6,1,1,3] [5,3,1,3,1,1]=>[1,1,1,1,2,1,3,1,3] [1,1,2,1,4,5]=>[3,3,1,1,2,1,1,1,1] [1,1,3,1,2,1,1,4]=>[3,1,3,4,1,1,1] [1,1,4,2,2,4]=>[3,1,1,2,2,2,1,1,1] [1,1,4,1,1,2,1,3]=>[3,1,1,4,3,1,1] [1,1,5,4,1,2]=>[3,1,1,1,2,1,1,3,1] [2,2,5,5]=>[1,2,2,1,1,1,2,1,1,1,1] [2,1,4,5,1,1]=>[1,3,1,1,2,1,1,1,3] [3,1,2,1,1,4,1,1]=>[1,1,3,4,1,1,3] [4,2,2,4,1,1]=>[1,1,1,2,2,2,1,1,3] [4,1,1,2,1,3,1,1]=>[1,1,1,4,3,1,3] [5,5,2,2]=>[1,1,1,1,2,1,1,1,2,2,1] [5,4,1,2,1,1]=>[1,1,1,1,2,1,1,3,3] [2,1,1,1,1,1,1,1,1,1,1,2]=>[1,12,1] [3,2,1,1,1,1,1,1,1,2]=>[1,1,2,9,1] [3,1,1,2,1,1,1,1,1,2]=>[1,1,4,7,1] [2,1,2,2,1,1,1,1,1,2]=>[1,3,2,7,1] [3,1,1,1,1,2,1,1,1,2]=>[1,1,6,5,1] [3,2,2,2,1,1,1,2]=>[1,1,2,2,2,5,1] [2,1,1,1,2,2,1,1,1,2]=>[1,5,2,5,1] [3,1,1,1,1,1,1,2,1,2]=>[1,1,8,3,1] [3,1,1,2,2,2,1,2]=>[1,1,4,2,2,3,1] [2,1,2,1,1,2,1,1,1,2]=>[1,3,4,5,1] [3,2,1,1,2,2,1,2]=>[1,1,2,4,2,3,1] [2,1,1,1,1,1,2,2,1,2]=>[1,7,2,3,1] [2,1,1,1,1,1,1,1,2,3]=>[1,9,2,1,1] [2,1,1,1,1,1,2,1,1,3]=>[1,7,4,1,1] [2,1,1,1,1,1,3,4]=>[1,7,1,2,1,1,1] [2,1,1,1,2,1,1,1,1,3]=>[1,5,6,1,1] [2,1,1,1,2,2,2,3]=>[1,5,2,2,2,1,1] [2,1,1,1,2,1,1,2,1,2]=>[1,5,4,3,1] [2,1,1,1,2,1,2,4]=>[1,5,3,2,1,1,1] [2,1,2,1,1,1,1,1,1,3]=>[1,3,8,1,1] [6,5,1,2]=>[1,1,1,1,1,2,1,1,1,3,1] [5,1,1,4,1,2]=>[1,1,1,1,4,1,1,3,1] [5,2,1,3,1,2]=>[1,1,1,1,2,3,1,3,1] [4,1,2,4,1,2]=>[1,1,1,3,2,1,1,3,1] [5,3,1,2,1,2]=>[1,1,1,1,2,1,3,3,1] [4,1,1,1,1,3,1,2]=>[1,1,1,6,1,3,1] [3,1,3,4,1,2]=>[1,1,3,1,2,1,1,3,1] [5,4,1,1,1,2]=>[1,1,1,1,2,1,1,5,1] [4,1,1,2,1,2,1,2]=>[1,1,1,4,3,3,1] [4,2,2,3,1,2]=>[1,1,1,2,2,2,1,3,1] [3,1,2,1,1,3,1,2]=>[1,1,3,4,1,3,1] [2,1,4,4,1,2]=>[1,3,1,1,2,1,1,3,1] [3,1,1,1,1,1,2,4]=>[1,1,7,2,1,1,1] [4,2,1,1,1,1,1,3]=>[1,1,1,2,7,1,1] [2,1,2,1,1,1,2,4]=>[1,3,5,2,1,1,1] [3,1,1,1,1,2,2,3]=>[1,1,6,2,2,1,1] [3,2,2,1,1,1,1,3]=>[1,1,2,2,6,1,1] [4,2,1,1,1,2,1,2]=>[1,1,1,2,5,3,1] [6,2,1,5]=>[1,1,1,1,1,2,3,1,1,1,1] [6,1,1,6]=>[1,1,1,1,1,4,1,1,1,1,1] [2,1,4,2,1,4]=>[1,3,1,1,2,3,1,1,1] [2,1,4,1,1,5]=>[1,3,1,1,4,1,1,1,1] [3,1,3,2,1,4]=>[1,1,3,1,2,3,1,1,1] [3,1,3,1,1,5]=>[1,1,3,1,4,1,1,1,1] [5,2,1,2,1,3]=>[1,1,1,1,2,3,3,1,1] [4,1,2,2,1,4]=>[1,1,1,3,2,3,1,1,1] [5,3,2,4]=>[1,1,1,1,2,1,2,2,1,1,1] [5,1,1,3,1,3]=>[1,1,1,1,4,1,3,1,1] [5,2,2,5]=>[1,1,1,1,2,2,2,1,1,1,1] [4,1,2,1,1,5]=>[1,1,1,3,4,1,1,1,1] [3,1,1,1,1,1,1,1,1,3]=>[1,1,10,1,1] [3,1,1,1,3,5]=>[1,1,5,1,2,1,1,1,1] [5,1,1,1,1,5]=>[1,1,1,1,6,1,1,1,1] [4,1,1,1,1,1,1,4]=>[1,1,1,8,1,1,1] [2,1,1,1,3,1,1,4]=>[1,5,1,4,1,1,1] [2,1,5,6]=>[1,3,1,1,1,2,1,1,1,1,1] [3,1,4,6]=>[1,1,3,1,1,2,1,1,1,1,1] [6,4,1,3]=>[1,1,1,1,1,2,1,1,3,1,1] [4,1,3,6]=>[1,1,1,3,1,2,1,1,1,1,1] [6,3,1,4]=>[1,1,1,1,1,2,1,3,1,1,1] [5,1,2,6]=>[1,1,1,1,3,2,1,1,1,1,1] [4,1,2,3,1,3]=>[1,1,1,3,2,1,3,1,1] [3,1,1,1,2,1,1,4]=>[1,1,5,4,1,1,1] [3,1,1,1,2,2,1,3]=>[1,1,5,2,3,1,1] [2,1,2,1,2,1,1,4]=>[1,3,3,4,1,1,1] [7,7]=>[1,1,1,1,1,1,2,1,1,1,1,1,1] [5,1,1,2,1,4]=>[1,1,1,1,4,3,1,1,1] [5,4,3,2]=>[1,1,1,1,2,1,1,2,1,2,1] [5,4,3,1,1]=>[1,1,1,1,2,1,1,2,1,3] [5,4,2,2,1]=>[1,1,1,1,2,1,1,2,2,2] [5,3,3,2,1]=>[1,1,1,1,2,1,2,1,2,2] [4,4,3,2,1]=>[1,1,1,2,1,1,2,1,2,2] [2,1,3,1,2,5]=>[1,3,1,3,2,1,1,1,1] [5,4,2,3]=>[1,1,1,1,2,1,1,2,2,1,1] [2,1,4,3,1,3]=>[1,3,1,1,2,1,3,1,1] [2,1,3,1,1,1,1,4]=>[1,3,1,6,1,1,1] [3,2,4,5]=>[1,1,2,2,1,1,2,1,1,1,1] [2,1,2,1,3,5]=>[1,3,3,1,2,1,1,1,1] [4,1,1,3,2,3]=>[1,1,1,4,1,2,2,1,1] [2,1,3,1,1,2,1,3]=>[1,3,1,4,3,1,1] [4,3,3,4]=>[1,1,1,2,1,2,1,2,1,1,1] [2,1,3,2,2,4]=>[1,3,1,2,2,2,1,1,1] [3,2,3,1,1,4]=>[1,1,2,2,1,4,1,1,1] [2,1,1,1,4,5]=>[1,5,1,1,2,1,1,1,1] [4,1,1,3,1,1,1,2]=>[1,1,1,4,1,5,1] [3,1,2,2,1,2,1,2]=>[1,1,3,2,3,3,1] [3,1,1,1,2,3,1,2]=>[1,1,5,2,1,3,1] [2,1,3,1,1,3,1,2]=>[1,3,1,4,1,3,1] [4,2,1,2,2,3]=>[1,1,1,2,3,2,2,1,1] [3,1,2,3,2,3]=>[1,1,3,2,1,2,2,1,1] [4,3,2,1,1,3]=>[1,1,1,2,1,2,4,1,1] [2,1,3,2,1,1,1,3]=>[1,3,1,2,5,1,1] [3,2,3,2,1,3]=>[1,1,2,2,1,2,3,1,1] [2,1,2,1,2,2,1,3]=>[1,3,3,2,3,1,1] [3,1,1,2,3,4]=>[1,1,4,2,1,2,1,1,1] [3,2,2,1,2,4]=>[1,1,2,2,3,2,1,1,1] [4,3,1,1,1,1,1,2]=>[1,1,1,2,1,7,1] [4,2,1,2,1,1,1,2]=>[1,1,1,2,3,5,1] [2,1,3,3,1,1,1,2]=>[1,3,1,2,1,5,1] [3,1,2,3,1,1,1,2]=>[1,1,3,2,1,5,1] [2,1,2,2,2,2,1,2]=>[1,3,2,2,2,3,1] [4,3,2,2,1,2]=>[1,1,1,2,1,2,2,3,1] [3,2,2,1,1,2,1,2]=>[1,1,2,2,4,3,1] [2,1,2,1,1,1,1,2,1,2]=>[1,3,6,3,1] [2,1,3,2,1,2,1,2]=>[1,3,1,2,3,3,1] [2,1,1,1,3,3,1,2]=>[1,5,1,2,1,3,1] [3,2,3,3,1,2]=>[1,1,2,2,1,2,1,3,1] [2,1,2,1,2,3,1,2]=>[1,3,3,2,1,3,1] [3,2,1,1,1,1,2,3]=>[1,1,2,6,2,1,1] [2,1,2,2,1,1,2,3]=>[1,3,2,4,2,1,1] [3,1,1,2,1,1,2,3]=>[1,1,4,4,2,1,1] [4,3,1,1,2,3]=>[1,1,1,2,1,4,2,1,1] [3,2,2,2,2,3]=>[1,1,2,2,2,2,2,1,1] [2,1,2,1,1,2,2,3]=>[1,3,4,2,2,1,1] [2,1,3,3,2,3]=>[1,3,1,2,1,2,2,1,1] [3,2,1,1,2,1,1,3]=>[1,1,2,4,4,1,1] [2,1,2,2,2,1,1,3]=>[1,3,2,2,4,1,1] [3,1,1,2,2,1,1,3]=>[1,1,4,2,4,1,1] [3,1,2,2,1,1,1,3]=>[1,1,3,2,5,1,1] [4,1,1,2,1,1,1,3]=>[1,1,1,4,5,1,1] [5,3,1,1,1,3]=>[1,1,1,1,2,1,5,1,1] [2,1,1,1,3,2,1,3]=>[1,5,1,2,3,1,1] [4,2,2,2,1,3]=>[1,1,1,2,2,2,3,1,1] [3,1,2,1,1,2,1,3]=>[1,1,3,4,3,1,1] [4,1,1,1,1,2,1,3]=>[1,1,1,6,3,1,1] [3,1,3,3,1,3]=>[1,1,3,1,2,1,3,1,1] [3,2,1,1,3,4]=>[1,1,2,4,1,2,1,1,1] [2,1,2,2,3,4]=>[1,3,2,2,1,2,1,1,1] [4,2,1,1,2,4]=>[1,1,1,2,4,2,1,1,1] [3,1,2,2,2,4]=>[1,1,3,2,2,2,1,1,1] [4,1,1,2,2,4]=>[1,1,1,4,2,2,1,1,1] [4,2,2,1,1,4]=>[1,1,1,2,2,4,1,1,1] [3,1,2,1,1,1,1,4]=>[1,1,3,6,1,1,1] [5,2,1,1,1,4]=>[1,1,1,1,2,5,1,1,1] [4,2,3,5]=>[1,1,1,2,2,1,2,1,1,1,1] [3,1,2,1,2,5]=>[1,1,3,3,2,1,1,1,1] [4,1,1,1,2,5]=>[1,1,1,5,2,1,1,1,1] [1,2,1,1,1,1,1,7]=>[2,7,1,1,1,1,1,1] [1,1,1,1,1,1,7,2]=>[7,1,1,1,1,1,2,1] [1,2,1,1,1,1,2,6]=>[2,6,2,1,1,1,1,1] [1,1,1,1,1,2,6,2]=>[6,2,1,1,1,1,2,1] [1,2,1,1,1,2,1,6]=>[2,5,3,1,1,1,1,1] [1,2,1,1,1,1,3,5]=>[2,6,1,2,1,1,1,1] [1,1,1,1,2,1,6,2]=>[5,3,1,1,1,1,2,1] [1,1,1,1,1,3,5,2]=>[6,1,2,1,1,1,2,1] [1,2,1,1,2,1,1,6]=>[2,4,4,1,1,1,1,1] [1,2,1,1,1,2,2,5]=>[2,5,2,2,1,1,1,1] [1,2,1,1,1,1,4,4]=>[2,6,1,1,2,1,1,1] [1,1,1,2,1,1,6,2]=>[4,4,1,1,1,1,2,1] [1,1,1,1,2,2,5,2]=>[5,2,2,1,1,1,2,1] [1,1,1,1,1,4,4,2]=>[6,1,1,2,1,1,2,1] [1,2,1,2,1,1,1,6]=>[2,3,5,1,1,1,1,1] [1,2,1,1,2,1,2,5]=>[2,4,3,2,1,1,1,1] [1,2,1,1,1,3,1,5]=>[2,5,1,3,1,1,1,1] [1,2,1,1,1,2,3,4]=>[2,5,2,1,2,1,1,1] [1,2,1,1,1,1,5,3]=>[2,6,1,1,1,2,1,1] [1,1,3,1,1,1,1,6]=>[3,1,6,1,1,1,1,1] [1,1,2,1,1,1,6,2]=>[3,5,1,1,1,1,2,1] [1,1,1,2,1,2,5,2]=>[4,3,2,1,1,1,2,1] [1,1,1,1,3,1,5,2]=>[5,1,3,1,1,1,2,1] [1,1,1,1,2,3,4,2]=>[5,2,1,2,1,1,2,1] [1,1,1,1,1,6,1,3]=>[6,1,1,1,1,3,1,1] [1,1,1,1,1,5,3,2]=>[6,1,1,1,2,1,2,1] [1,1,2,2,2,2,2,3]=>[3,2,2,2,2,2,1,1] [1,1,1,3,2,2,2,3]=>[4,1,2,2,2,2,1,1] [1,1,1,2,3,2,2,3]=>[4,2,1,2,2,2,1,1] [1,1,2,1,3,2,2,3]=>[3,3,1,2,2,2,1,1] [1,1,1,2,2,3,2,3]=>[4,2,2,1,2,2,1,1] [1,1,1,3,1,3,2,3]=>[4,1,3,1,2,2,1,1] [1,1,2,2,1,3,2,3]=>[3,2,3,1,2,2,1,1] [1,1,1,2,2,2,3,3]=>[4,2,2,2,1,2,1,1] [1,1,1,2,3,1,3,3]=>[4,2,1,3,1,2,1,1] [1,1,2,1,2,3,2,3]=>[3,3,2,1,2,2,1,1] [1,1,1,3,2,1,3,3]=>[4,1,2,3,1,2,1,1] [1,1,2,2,2,1,3,3]=>[3,2,2,3,1,2,1,1] [1,1,2,2,2,2,1,4]=>[3,2,2,2,3,1,1,1] [1,1,2,2,2,1,2,4]=>[3,2,2,3,2,1,1,1] [1,1,2,2,2,1,1,5]=>[3,2,2,4,1,1,1,1] [1,1,2,2,1,2,2,4]=>[3,2,3,2,2,1,1,1] [1,1,2,2,1,3,1,4]=>[3,2,3,1,3,1,1,1] [1,1,2,2,1,2,3,3]=>[3,2,3,2,1,2,1,1] [1,1,2,2,1,2,1,5]=>[3,2,3,3,1,1,1,1] [1,1,2,1,2,2,2,4]=>[3,3,2,2,2,1,1,1] [1,1,1,1,1,1,6,3]=>[7,1,1,1,1,2,1,1] [1,1,1,1,1,2,5,3]=>[6,2,1,1,1,2,1,1] [1,1,1,1,1,3,4,3]=>[6,1,2,1,1,2,1,1] [1,1,1,1,2,1,5,3]=>[5,3,1,1,1,2,1,1] [1,1,1,1,1,4,3,3]=>[6,1,1,2,1,2,1,1] [1,1,1,1,2,2,4,3]=>[5,2,2,1,1,2,1,1] [1,1,1,2,1,1,5,3]=>[4,4,1,1,1,2,1,1] [1,1,1,1,1,5,2,3]=>[6,1,1,1,2,2,1,1] [1,1,1,1,2,3,3,3]=>[5,2,1,2,1,2,1,1] [1,1,1,1,3,1,4,3]=>[5,1,3,1,1,2,1,1] [1,1,1,2,1,2,4,3]=>[4,3,2,1,1,2,1,1] [1,1,2,1,1,1,5,3]=>[3,5,1,1,1,2,1,1] [1,1,1,2,2,2,1,5]=>[4,2,2,3,1,1,1,1] [1,1,1,1,3,2,2,4]=>[5,1,2,2,2,1,1,1] [1,1,2,1,2,2,1,5]=>[3,3,2,3,1,1,1,1] [1,1,1,2,2,3,1,4]=>[4,2,2,1,3,1,1,1] [1,1,1,3,1,2,2,4]=>[4,1,3,2,2,1,1,1] [1,1,1,1,3,2,3,3]=>[5,1,2,2,1,2,1,1] [1,1,1,1,1,1,3,6]=>[7,1,2,1,1,1,1,1] [1,1,1,1,1,1,2,7]=>[7,2,1,1,1,1,1,1] [1,1,2,1,1,1,3,5]=>[3,5,1,2,1,1,1,1] [1,1,2,1,1,1,2,6]=>[3,5,2,1,1,1,1,1] [1,1,1,2,1,1,3,5]=>[4,4,1,2,1,1,1,1] [1,1,1,2,1,1,2,6]=>[4,4,2,1,1,1,1,1] [1,1,1,1,1,3,3,4]=>[6,1,2,1,2,1,1,1] [1,1,1,1,2,1,3,5]=>[5,3,1,2,1,1,1,1] [1,1,1,1,1,4,1,5]=>[6,1,1,3,1,1,1,1] [1,1,1,1,1,2,4,4]=>[6,2,1,1,2,1,1,1] [1,1,1,1,1,3,1,6]=>[6,1,3,1,1,1,1,1] [1,1,1,1,2,1,2,6]=>[5,3,2,1,1,1,1,1] [1,1,1,2,2,2,2,4]=>[4,2,2,2,2,1,1,1] [1,1,1,2,2,1,1,6]=>[4,2,4,1,1,1,1,1] [1,1,1,1,1,2,2,6]=>[6,2,2,1,1,1,1,1] [1,1,1,1,2,2,2,5]=>[5,2,2,2,1,1,1,1] [1,1,2,2,1,1,2,5]=>[3,2,4,2,1,1,1,1] [1,1,2,1,1,1,1,7]=>[3,6,1,1,1,1,1,1] [1,1,1,2,1,1,1,7]=>[4,5,1,1,1,1,1,1] [1,1,1,1,1,1,5,4]=>[7,1,1,1,2,1,1,1] [1,1,1,1,2,1,1,7]=>[5,4,1,1,1,1,1,1] [1,1,1,1,1,1,4,5]=>[7,1,1,2,1,1,1,1] [1,1,1,1,1,2,1,7]=>[6,3,1,1,1,1,1,1] [1,1,1,1,2,1,4,4]=>[5,3,1,1,2,1,1,1] [1,1,1,2,2,1,2,5]=>[4,2,3,2,1,1,1,1] [1,1,1,2,2,1,3,4]=>[4,2,3,1,2,1,1,1] [1,1,2,1,2,1,2,5]=>[3,3,3,2,1,1,1,1] [1,1,1,1,1,1,1,8]=>[8,1,1,1,1,1,1,1] [1,1,1,1,1,2,3,5]=>[6,2,1,2,1,1,1,1] [5,4,3,2,1]=>[1,1,1,1,2,1,1,2,1,2,2] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[15] [1,1,1,1,1,1,2,1,1,1,1,1,2]=>[7,7,1] [1,1,2,1,1,2,1,6]=>[3,4,3,1,1,1,1,1] [1,1,1,1,1,5,1,4]=>[6,1,1,1,3,1,1,1] [1,1,2,1,1,1,4,4]=>[3,5,1,1,2,1,1,1] [1,1,2,1,1,2,2,5]=>[3,4,2,2,1,1,1,1] [1,1,1,3,1,1,1,6]=>[4,1,5,1,1,1,1,1] [1,1,2,1,2,1,1,6]=>[3,3,4,1,1,1,1,1] [1,1,1,1,2,4,1,4]=>[5,2,1,1,3,1,1,1] [1,1,2,1,1,2,3,4]=>[3,4,2,1,2,1,1,1] [1,1,1,1,4,1,1,5]=>[5,1,1,4,1,1,1,1] [1,1,2,1,1,3,1,5]=>[3,4,1,3,1,1,1,1] [1,1,1,3,1,1,2,5]=>[4,1,4,2,1,1,1,1] [1,1,2,2,1,1,1,6]=>[3,2,5,1,1,1,1,1] [1,1,1,1,2,4,2,3]=>[5,2,1,1,2,2,1,1] [1,1,1,2,1,3,3,3]=>[4,3,1,2,1,2,1,1] [1,1,1,2,2,1,4,3]=>[4,2,3,1,1,2,1,1] [1,1,2,1,1,2,4,3]=>[3,4,2,1,1,2,1,1] [1,1,1,1,3,3,1,4]=>[5,1,2,1,3,1,1,1] [1,1,1,2,1,4,1,4]=>[4,3,1,1,3,1,1,1] [1,1,1,1,4,1,2,4]=>[5,1,1,3,2,1,1,1] [1,1,2,1,1,3,2,4]=>[3,4,1,2,2,1,1,1] [1,1,1,3,1,1,3,4]=>[4,1,4,1,2,1,1,1] [1,1,2,1,2,1,3,4]=>[3,3,3,1,2,1,1,1] [1,1,1,2,3,1,1,5]=>[4,2,1,4,1,1,1,1] [1,1,1,3,1,2,1,5]=>[4,1,3,3,1,1,1,1] [1,1,1,1,4,2,2,3]=>[5,1,1,2,2,2,1,1] [1,1,1,1,3,3,2,3]=>[5,1,2,1,2,2,1,1] [1,1,2,1,1,4,2,3]=>[3,4,1,1,2,2,1,1] [1,1,1,2,1,4,2,3]=>[4,3,1,1,2,2,1,1] [1,1,2,1,3,1,3,3]=>[3,3,1,3,1,2,1,1] [1,1,1,1,4,1,3,3]=>[5,1,1,3,1,2,1,1] [1,1,1,3,1,2,3,3]=>[4,1,3,2,1,2,1,1] [1,1,2,1,2,2,3,3]=>[3,3,2,2,1,2,1,1] [1,1,2,1,1,3,3,3]=>[3,4,1,2,1,2,1,1] [1,1,2,2,1,1,4,3]=>[3,2,4,1,1,2,1,1] [1,1,1,3,1,1,4,3]=>[4,1,4,1,1,2,1,1] [1,1,2,1,2,1,4,3]=>[3,3,3,1,1,2,1,1] [1,1,1,3,2,2,1,4]=>[4,1,2,2,3,1,1,1] [1,1,2,1,3,2,1,4]=>[3,3,1,2,3,1,1,1] [1,1,1,2,3,2,1,4]=>[4,2,1,2,3,1,1,1] [1,1,1,1,4,2,1,4]=>[5,1,1,2,3,1,1,1] [1,1,1,3,1,3,1,4]=>[4,1,3,1,3,1,1,1] [1,1,2,1,2,3,1,4]=>[3,3,2,1,3,1,1,1] [1,1,2,1,1,4,1,4]=>[3,4,1,1,3,1,1,1] [1,1,1,3,2,1,2,4]=>[4,1,2,3,2,1,1,1] [1,1,2,1,3,1,2,4]=>[3,3,1,3,2,1,1,1] [1,1,1,2,3,1,2,4]=>[4,2,1,3,2,1,1,1] [1,1,1,2,1,3,2,4]=>[4,3,1,2,2,1,1,1] [1,1,1,1,2,3,2,4]=>[5,2,1,2,2,1,1,1] [1,1,1,1,1,4,2,4]=>[6,1,1,2,2,1,1,1] [1,1,2,2,1,1,3,4]=>[3,2,4,1,2,1,1,1] [1,1,1,1,3,1,3,4]=>[5,1,3,1,2,1,1,1] [1,1,1,2,1,2,3,4]=>[4,3,2,1,2,1,1,1] [1,1,1,1,2,2,3,4]=>[5,2,2,1,2,1,1,1] [1,1,1,2,1,1,4,4]=>[4,4,1,1,2,1,1,1] [1,1,1,3,2,1,1,5]=>[4,1,2,4,1,1,1,1] [1,1,2,1,3,1,1,5]=>[3,3,1,4,1,1,1,1] [1,1,1,1,3,2,1,5]=>[5,1,2,3,1,1,1,1] [1,1,1,2,1,3,1,5]=>[4,3,1,3,1,1,1,1] [1,1,1,1,2,3,1,5]=>[5,2,1,3,1,1,1,1] [1,1,1,1,3,1,2,5]=>[5,1,3,2,1,1,1,1] [1,1,1,2,1,2,2,5]=>[4,3,2,2,1,1,1,1] [1,1,1,1,1,3,2,5]=>[6,1,2,2,1,1,1,1] [1,1,1,1,3,1,1,6]=>[5,1,4,1,1,1,1,1] [1,1,1,2,1,2,1,6]=>[4,3,3,1,1,1,1,1] [1,1,1,1,2,2,1,6]=>[5,2,3,1,1,1,1,1] [1,1,7,7]=>[3,1,1,1,1,1,2,1,1,1,1,1,1] [7,7,1,1]=>[1,1,1,1,1,1,2,1,1,1,1,1,3] [1,1,6,1,1,6]=>[3,1,1,1,1,4,1,1,1,1,1] [6,1,1,6,1,1]=>[1,1,1,1,1,4,1,1,1,1,3] [1,1,5,1,2,6]=>[3,1,1,1,3,2,1,1,1,1,1] [1,1,6,2,1,5]=>[3,1,1,1,1,2,3,1,1,1,1] [5,1,2,6,1,1]=>[1,1,1,1,3,2,1,1,1,1,3] [6,2,1,5,1,1]=>[1,1,1,1,1,2,3,1,1,1,3] [1,1,4,1,3,6]=>[3,1,1,3,1,2,1,1,1,1,1] [1,1,5,1,1,1,1,5]=>[3,1,1,1,6,1,1,1,1] [1,1,6,3,1,4]=>[3,1,1,1,1,2,1,3,1,1,1] [4,1,3,6,1,1]=>[1,1,1,3,1,2,1,1,1,1,3] [5,1,1,1,1,5,1,1]=>[1,1,1,1,6,1,1,1,3] [6,3,1,4,1,1]=>[1,1,1,1,1,2,1,3,1,1,3] [1,1,1,1,1,1,2,1,1,1,1,1,3]=>[7,7,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[16] [1,2,1,1,1,1,1,1,8]=>[2,8,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,8,2]=>[8,1,1,1,1,1,1,2,1] [1,2,1,1,1,1,1,2,7]=>[2,7,2,1,1,1,1,1,1] [1,1,1,1,1,1,2,7,2]=>[7,2,1,1,1,1,1,2,1] [1,2,1,1,1,1,2,1,7]=>[2,6,3,1,1,1,1,1,1] [1,2,1,1,1,1,1,3,6]=>[2,7,1,2,1,1,1,1,1] [1,1,1,1,1,2,1,7,2]=>[6,3,1,1,1,1,1,2,1] [1,1,1,1,1,1,3,6,2]=>[7,1,2,1,1,1,1,2,1] [1,2,1,1,1,2,1,1,7]=>[2,5,4,1,1,1,1,1,1] [1,2,1,1,1,1,2,2,6]=>[2,6,2,2,1,1,1,1,1] [1,2,1,1,1,1,1,4,5]=>[2,7,1,1,2,1,1,1,1] [1,1,1,1,2,1,1,7,2]=>[5,4,1,1,1,1,1,2,1] [1,1,1,1,1,2,2,6,2]=>[6,2,2,1,1,1,1,2,1] [1,1,1,1,1,1,4,5,2]=>[7,1,1,2,1,1,1,2,1] [1,1,8,8]=>[3,1,1,1,1,1,1,2,1,1,1,1,1,1,1] [8,8,1,1]=>[1,1,1,1,1,1,1,2,1,1,1,1,1,1,3] [1,1,7,1,1,7]=>[3,1,1,1,1,1,4,1,1,1,1,1,1] [7,1,1,7,1,1]=>[1,1,1,1,1,1,4,1,1,1,1,1,3] [1,1,6,1,2,7]=>[3,1,1,1,1,3,2,1,1,1,1,1,1] [1,1,7,2,1,6]=>[3,1,1,1,1,1,2,3,1,1,1,1,1] [6,1,2,7,1,1]=>[1,1,1,1,1,3,2,1,1,1,1,1,3] [7,2,1,6,1,1]=>[1,1,1,1,1,1,2,3,1,1,1,1,3] [1,2,1,1,1,1,1,1,1,9]=>[2,9,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,9,2]=>[9,1,1,1,1,1,1,1,2,1] [1,2,1,1,1,1,1,1,2,8]=>[2,8,2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,2,8,2]=>[8,2,1,1,1,1,1,1,2,1] [1,2,1,1,1,1,1,2,1,8]=>[2,7,3,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,1,3,7]=>[2,8,1,2,1,1,1,1,1,1] [1,1,1,1,1,1,2,1,8,2]=>[7,3,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,3,7,2]=>[8,1,2,1,1,1,1,1,2,1] [1,1,9,9]=>[3,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1] [9,9,1,1]=>[1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,3] [1,1,8,1,1,8]=>[3,1,1,1,1,1,1,4,1,1,1,1,1,1,1] [8,1,1,8,1,1]=>[1,1,1,1,1,1,1,4,1,1,1,1,1,1,3] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[20] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]=>[18,1,1] [1,2,1,1,1,1,1,1,1,1,10]=>[2,10,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,10,2]=>[10,1,1,1,1,1,1,1,1,2,1] [1,2,1,1,1,1,1,1,1,2,9]=>[2,9,2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,2,9,2]=>[9,2,1,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[21] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]=>[20,1] [1,1,10,10]=>[3,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1] [10,10,1,1]=>[1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,3] [1,2,1,1,1,1,1,1,1,1,1,11]=>[2,11,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,11,2]=>[11,1,1,1,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[24] [1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,5]=>[9,11,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[25] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]=>[23,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[28] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]=>[27,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[30] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]=>[28,1,1]
Description
The complement of a composition.
The complement of a composition $I$ is defined as follows:
If $I$ is the empty composition, then the complement is also the empty composition. Otherwise, let $S$ be the descent set corresponding to $I=(i_1,\dots,i_k)$, that is, the subset
$$\{ i_1, i_1 + i_2, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$$
of $\{ 1, 2, \ldots, |I|-1 \}$. Then, the complement of $I$ is the composition of the same size as $I$, whose descent set is $\{ 1, 2, \ldots, |I|-1 \} \setminus S$.
The complement of a composition $I$ coincides with the reversal (Mp00038reverse) of the composition conjugate (Mp00041conjugate) to $I$.
Properties
bijective, graded, involutive
Sage code
def mapping(elt):
    return elt.conjugate().reversed()

Created
Jan 19, 2020 at 07:28 by FindStatCrew
Updated
Jan 19, 2020 at 07:28 by Martin Rubey