In the contest analysis of the problem, it is written

    r' (2, 1) + c' (1, 2) = (r, c) - (1, 1).

Solving, we get r+c = 2 mod 3, and

    r' = r - 1 - (r+c-2)/3, and c' = c - 1 - (r+c-2)/3.

Can anyone explain the above thing?
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