Identifier
Mp00001:
Alternating sign matrices
—to semistandard tableau via monotone triangles⟶
Semistandard tableaux
Images
=>
Cc0017;cc-rep-0Cc0019;cc-rep-1
[[1]]=>[[1]]
[[1,0],[0,1]]=>[[1,1],[2]]
[[0,1],[1,0]]=>[[1,2],[2]]
[[1,0,0],[0,1,0],[0,0,1]]=>[[1,1,1],[2,2],[3]]
[[0,1,0],[1,0,0],[0,0,1]]=>[[1,1,2],[2,2],[3]]
[[1,0,0],[0,0,1],[0,1,0]]=>[[1,1,1],[2,3],[3]]
[[0,1,0],[1,-1,1],[0,1,0]]=>[[1,1,2],[2,3],[3]]
[[0,0,1],[1,0,0],[0,1,0]]=>[[1,1,3],[2,3],[3]]
[[0,1,0],[0,0,1],[1,0,0]]=>[[1,2,2],[2,3],[3]]
[[0,0,1],[0,1,0],[1,0,0]]=>[[1,2,3],[2,3],[3]]
[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]=>[[1,1,1,1],[2,2,2],[3,3],[4]]
[[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]]=>[[1,1,1,2],[2,2,2],[3,3],[4]]
[[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]]=>[[1,1,1,1],[2,2,3],[3,3],[4]]
[[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]]=>[[1,1,1,2],[2,2,3],[3,3],[4]]
[[0,0,1,0],[1,0,0,0],[0,1,0,0],[0,0,0,1]]=>[[1,1,1,3],[2,2,3],[3,3],[4]]
[[0,1,0,0],[0,0,1,0],[1,0,0,0],[0,0,0,1]]=>[[1,1,2,2],[2,2,3],[3,3],[4]]
[[0,0,1,0],[0,1,0,0],[1,0,0,0],[0,0,0,1]]=>[[1,1,2,3],[2,2,3],[3,3],[4]]
[[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]]=>[[1,1,1,1],[2,2,2],[3,4],[4]]
[[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]]=>[[1,1,1,2],[2,2,2],[3,4],[4]]
[[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]]=>[[1,1,1,1],[2,2,3],[3,4],[4]]
[[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]]=>[[1,1,1,2],[2,2,3],[3,4],[4]]
[[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]]=>[[1,1,1,3],[2,2,3],[3,4],[4]]
[[0,1,0,0],[0,0,1,0],[1,0,-1,1],[0,0,1,0]]=>[[1,1,2,2],[2,2,3],[3,4],[4]]
[[0,0,1,0],[0,1,0,0],[1,0,-1,1],[0,0,1,0]]=>[[1,1,2,3],[2,2,3],[3,4],[4]]
[[1,0,0,0],[0,0,0,1],[0,1,0,0],[0,0,1,0]]=>[[1,1,1,1],[2,2,4],[3,4],[4]]
[[0,1,0,0],[1,-1,0,1],[0,1,0,0],[0,0,1,0]]=>[[1,1,1,2],[2,2,4],[3,4],[4]]
[[0,0,1,0],[1,0,-1,1],[0,1,0,0],[0,0,1,0]]=>[[1,1,1,3],[2,2,4],[3,4],[4]]
[[0,0,0,1],[1,0,0,0],[0,1,0,0],[0,0,1,0]]=>[[1,1,1,4],[2,2,4],[3,4],[4]]
[[0,1,0,0],[0,0,0,1],[1,0,0,0],[0,0,1,0]]=>[[1,1,2,2],[2,2,4],[3,4],[4]]
[[0,0,1,0],[0,1,-1,1],[1,0,0,0],[0,0,1,0]]=>[[1,1,2,3],[2,2,4],[3,4],[4]]
[[0,0,0,1],[0,1,0,0],[1,0,0,0],[0,0,1,0]]=>[[1,1,2,4],[2,2,4],[3,4],[4]]
[[1,0,0,0],[0,0,1,0],[0,0,0,1],[0,1,0,0]]=>[[1,1,1,1],[2,3,3],[3,4],[4]]
[[0,1,0,0],[1,-1,1,0],[0,0,0,1],[0,1,0,0]]=>[[1,1,1,2],[2,3,3],[3,4],[4]]
[[0,0,1,0],[1,0,0,0],[0,0,0,1],[0,1,0,0]]=>[[1,1,1,3],[2,3,3],[3,4],[4]]
[[0,1,0,0],[0,0,1,0],[1,-1,0,1],[0,1,0,0]]=>[[1,1,2,2],[2,3,3],[3,4],[4]]
[[0,0,1,0],[0,1,0,0],[1,-1,0,1],[0,1,0,0]]=>[[1,1,2,3],[2,3,3],[3,4],[4]]
[[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]]=>[[1,1,1,1],[2,3,4],[3,4],[4]]
[[0,1,0,0],[1,-1,0,1],[0,0,1,0],[0,1,0,0]]=>[[1,1,1,2],[2,3,4],[3,4],[4]]
[[0,0,1,0],[1,0,-1,1],[0,0,1,0],[0,1,0,0]]=>[[1,1,1,3],[2,3,4],[3,4],[4]]
[[0,0,0,1],[1,0,0,0],[0,0,1,0],[0,1,0,0]]=>[[1,1,1,4],[2,3,4],[3,4],[4]]
[[0,1,0,0],[0,0,0,1],[1,-1,1,0],[0,1,0,0]]=>[[1,1,2,2],[2,3,4],[3,4],[4]]
[[0,0,1,0],[0,1,-1,1],[1,-1,1,0],[0,1,0,0]]=>[[1,1,2,3],[2,3,4],[3,4],[4]]
[[0,0,0,1],[0,1,0,0],[1,-1,1,0],[0,1,0,0]]=>[[1,1,2,4],[2,3,4],[3,4],[4]]
[[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]]=>[[1,1,3,3],[2,3,4],[3,4],[4]]
[[0,0,0,1],[0,0,1,0],[1,0,0,0],[0,1,0,0]]=>[[1,1,3,4],[2,3,4],[3,4],[4]]
[[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0]]=>[[1,2,2,2],[2,3,3],[3,4],[4]]
[[0,0,1,0],[0,1,0,0],[0,0,0,1],[1,0,0,0]]=>[[1,2,2,3],[2,3,3],[3,4],[4]]
[[0,1,0,0],[0,0,0,1],[0,0,1,0],[1,0,0,0]]=>[[1,2,2,2],[2,3,4],[3,4],[4]]
[[0,0,1,0],[0,1,-1,1],[0,0,1,0],[1,0,0,0]]=>[[1,2,2,3],[2,3,4],[3,4],[4]]
[[0,0,0,1],[0,1,0,0],[0,0,1,0],[1,0,0,0]]=>[[1,2,2,4],[2,3,4],[3,4],[4]]
[[0,0,1,0],[0,0,0,1],[0,1,0,0],[1,0,0,0]]=>[[1,2,3,3],[2,3,4],[3,4],[4]]
[[0,0,0,1],[0,0,1,0],[0,1,0,0],[1,0,0,0]]=>[[1,2,3,4],[2,3,4],[3,4],[4]]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,4],[5]]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,4],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,4],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,4],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,4],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,4],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,4],[5]]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,4],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,2,2],[2,2,2,3],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,4],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,4],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,2,2],[2,2,2,4],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,2,3],[2,2,2,4],[3,3,4],[4,4],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[[1,1,1,2,4],[2,2,2,4],[3,3,4],[4,4],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,1,2],[2,2,3,3],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,1,3],[2,2,3,3],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,2,2],[2,2,3,3],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,2,3],[2,2,3,3],[3,3,4],[4,4],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,1,3],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,1,4],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,2,2],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,2,4],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,3,3],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[[1,1,1,3,4],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]]=>[[1,1,2,2,2],[2,2,3,3],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]]=>[[1,1,2,2,3],[2,2,3,3],[3,3,4],[4,4],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[[1,1,2,2,2],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[[1,1,2,2,3],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[[1,1,2,2,4],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[[1,1,2,3,3],[2,2,3,4],[3,3,4],[4,4],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,4],[5]]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,5],[5]]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,5],[5]]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,2,3],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,2,4],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,2,4],[3,3,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,4],[2,2,2,4],[3,3,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,3,3],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,3,3],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,3,3],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,3,3],[3,3,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,1,4],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,2,4],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,3,3],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[[1,1,1,3,4],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[[1,1,2,2,2],[2,2,3,3],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[[1,1,2,2,3],[2,2,3,3],[3,3,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[[1,1,2,2,2],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[[1,1,2,2,3],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[[1,1,2,2,4],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[[1,1,2,3,3],[2,2,3,4],[3,3,4],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,5],[5]]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,2],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,2],[3,3,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,3],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,3],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,2,3],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,2,3],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,2,3],[3,3,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,4],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,4],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,2,4],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,4],[2,2,2,4],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,2,4],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,2,4],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,4],[2,2,2,4],[3,3,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,2,5],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,2,5],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,2,5],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,4],[2,2,2,5],[3,3,5],[4,5],[5]]
[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,1,5],[2,2,2,5],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,2,5],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,2,5],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,4],[2,2,2,5],[3,3,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[[1,1,1,2,5],[2,2,2,5],[3,3,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,3,3],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,3,3],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,3,3],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,3,3],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,3,3],[3,3,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,4],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,4],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,3,3],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,3,4],[2,2,3,4],[3,3,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,1],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,2],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,3],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,4],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,1,5],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,2],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,3],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,4],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,2,5],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,3,3],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,3,4],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[[1,1,1,3,5],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,2],[2,2,3,3],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,3],[2,2,3,3],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,2],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,3],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,4],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,3,3],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,3,4],[2,2,3,4],[3,3,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,2],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,3],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,4],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,2,5],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,3,3],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,3,4],[2,2,3,5],[3,3,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[[1,1,2,3,5],[2,2,3,5],[3,3,5],[4,5],[5]]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,2,2],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,2,2],[3,4,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,2,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,2,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,2,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,2,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,2,3],[3,4,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,2,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,2,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,2,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,1,4],[2,2,2,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,2,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,2,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[[1,1,1,2,4],[2,2,2,4],[3,4,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,3,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,3,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,3,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,3,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,3,3],[3,4,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,1,4],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,2,4],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,3,3],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[[1,1,1,3,4],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[[1,1,2,2,2],[2,2,3,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[[1,1,2,2,3],[2,2,3,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[[1,1,2,2,2],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[[1,1,2,2,3],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[[1,1,2,2,4],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[[1,1,2,3,3],[2,2,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[[1,1,2,3,4],[2,2,3,4],[3,4,4],[4,5],[5]]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,2,2],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,2,2],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,2,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,2,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,2,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,2,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,2,3],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,2,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,2,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,2,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,4],[2,2,2,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,2,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,2,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,4],[2,2,2,4],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,2,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,2,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,2,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,4],[2,2,2,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,1,5],[2,2,2,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,2,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,2,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,4],[2,2,2,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[[1,1,1,2,5],[2,2,2,5],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,3,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,3,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,3,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,3,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,3,3],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,4],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,4],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,3,3],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,3,4],[2,2,3,4],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,4],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,1,5],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,4],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,2,5],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,3,3],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,3,4],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[[1,1,1,3,5],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,2],[2,2,3,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,3],[2,2,3,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,2],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,3],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,4],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,3,3],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,3,4],[2,2,3,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,2],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,3],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,4],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,2,5],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,3,3],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,3,4],[2,2,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[[1,1,2,3,5],[2,2,3,5],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,4],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,2,4],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,3,3],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,3,4],[2,2,4,4],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,1],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,2],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,3],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,4],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,1,5],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,2,2],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,2,3],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,2,4],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,2,5],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,3,3],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,3,4],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,3,5],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,4,4],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]]=>[[1,1,1,4,5],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,2,2],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,2,3],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,2,4],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,3,3],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,3,4],[2,2,4,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,2,2],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,2,3],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,2,4],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,2,5],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,3,3],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,3,4],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,3,5],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,4,4],[2,2,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]]=>[[1,1,2,4,5],[2,2,4,5],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,1,1],[2,3,3,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,1,2],[2,3,3,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,1,3],[2,3,3,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,2,2],[2,3,3,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,2,3],[2,3,3,3],[3,4,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,1,1],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,1,2],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,1,3],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,1,4],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,2,2],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,2,3],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,2,4],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[[1,1,1,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[[1,1,2,2,2],[2,3,3,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[[1,1,2,2,3],[2,3,3,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[[1,1,2,2,2],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[[1,1,2,2,3],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[[1,1,2,2,4],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[[1,1,2,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[[1,1,2,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,1],[2,3,3,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,2],[2,3,3,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,3],[2,3,3,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,2],[2,3,3,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,3],[2,3,3,3],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,1],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,2],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,3],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,4],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,2],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,3],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,4],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,3,3],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,3,4],[2,3,3,4],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,1],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,2],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,3],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,4],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,1,5],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,2],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,3],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,4],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,2,5],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,3,4],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[[1,1,1,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,2],[2,3,3,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,3],[2,3,3,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,2],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,3],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,4],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,3,3],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,3,4],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,2],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,3],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,4],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,2,5],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,3,4],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[[1,1,2,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,1],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,2],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,2,2],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,2,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,2,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,1],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,2],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,1,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,2,2],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,2,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,2,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,2,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,3,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]]=>[[1,1,1,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,2,2],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,2,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,2,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,2,2],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,2,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,2,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,2,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,3,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[[1,1,2,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]]=>[[1,1,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]]=>[[1,1,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>[[1,1,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>[[1,1,3,3,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>[[1,1,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]]=>[[1,1,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]]=>[[1,1,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]]=>[[1,2,2,2,2],[2,3,3,3],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]]=>[[1,2,2,2,3],[2,3,3,3],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[[1,2,2,2,2],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[[1,2,2,2,3],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[[1,2,2,2,4],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[[1,2,2,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[[1,2,2,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,2],[2,3,3,3],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,3],[2,3,3,3],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,2],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,3],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,4],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,3,3],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,3,4],[2,3,3,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,2],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,3],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,4],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,2,5],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,3,4],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[[1,2,2,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,2,2],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,2,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,2,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,2,2],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,2,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,2,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,2,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,3,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]]=>[[1,2,2,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]]=>[[1,2,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]]=>[[1,2,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]
[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>[[1,2,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>[[1,2,3,3,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>[[1,2,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]]=>[[1,2,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]
[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]]=>[[1,2,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,3,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,3,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,6],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,6],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,6],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,6],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,6],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,6],[2,2,2,3,6],[3,3,3,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,6],[2,2,2,2,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,6],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,6],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,6],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,6],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,6],[2,2,2,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,6],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,6],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,6],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,4],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,5],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,6],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,6],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,6],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,4],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,5],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,6],[2,2,2,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,6],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,6],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,6],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,6],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,6],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,1],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,2],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,1,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,2],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,2,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,3,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,1,4,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,2],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,2,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,3,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,2,4,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,3,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,4,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,4,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,1,3,4,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,5],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,6],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,5],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,6],[2,2,3,3,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,2],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,2,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,3,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,4,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,4,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,2,4,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,3],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,3,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,4,4],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,4,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[[1,1,2,3,4,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,3,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,3,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,2,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,2,3,6],[3,3,3,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,2,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,6],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,6],[2,2,2,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,6],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,6],[2,2,3,3,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,2,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,2,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,6],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,6],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,5,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,5,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,5,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,5,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,1],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,2],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,1,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,2],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,2,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,3,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,4,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,5,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,1,5,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,2],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,2,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,3,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,4,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,5,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,2,5,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,3,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,4,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,5,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,1,3,5,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,6],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,6],[2,2,3,3,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,2],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,2,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,3,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,4,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,5,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,2,5,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,3],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,3,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,4],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,4,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,5,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[[1,1,2,3,5,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,2,2,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,2,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,6],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,6],[2,2,2,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,6],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,6],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,2,2,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,2,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,6],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,6],[2,2,2,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,5,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,5,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,5,5],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,5,6],[2,2,2,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,5,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,5,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,5,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,5,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,5,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,5,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,6],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,6],[2,2,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
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[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
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[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,5,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,5,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
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[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,5,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,5,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
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[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
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[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,1],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,2],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,1,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,2],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,2,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,3,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,1,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,2],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,2,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,3,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,2,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,3,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,3,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,4,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,4,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,4,4,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,4,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,4,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,4,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,1,4,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,2],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,2,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,3,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,2,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,3],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,3,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,3,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,4,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,4,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,4,4,4],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,4,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,4,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,4,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]]=>[[1,1,2,4,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,4],[3,4,4,4],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,3],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,3,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,3],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,4],[3,4,4,4],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,3],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,3,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,4],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,3],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,4],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,6],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,6],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,6],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,6],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,6],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,3],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,3,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,3],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,3,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,6],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,6],[2,3,3,3,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,2],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,2,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,3,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,2,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,3],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,3,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,4],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]]=>[[1,1,2,3,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
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[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,4,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,4,4,4],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,3],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,3,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,4],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,3,4,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,1],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,1,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,2,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,1,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,2],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,3],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,2,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]=>[[1,1,1,2,3,3],[2,3,4,5,5],[3,4,