0 1 0        0 2 0
2 4 0   ->   3 0 1
0 0 3        0 1 3

1 2 3        2 3 4        2 5 1        4 2 3        0 3 3
4 5 6   ->   2 4 4   ->   4 2 3   ->   1 2 1   ->   3 3 2
7 8 9        5 7 7        2 6 5        4 4 3        1 2 0

[[2, 5, 4], [8, 6, 4], [1, 2, 3]] -> [[3, 3, 0], [1, 2, 2], [1, 3, 2]]
[[0, 0, 2], [1, 3, 3], [0, 0, 0]] -> [[0, 0, 2], [1, 3, 3], [0, 0, 0]]
[[9, 9, 9], [9, 9, 9], [9, 9, 9]] -> [[1, 3, 1], [3, 1, 3], [1, 3, 1]]
[[4, 5], [2, 3]] -> [[2, 3], [0, 1]]
[[2, 3, 5], [2, 2, 0]] -> [[3, 0, 2], [2, 3, 1]]
[[7]] -> [[3]]