Given a matrix, mat, if any element within the matrix is zero, set that row and column to zero. The performed operations should be in place, i.e., the given matrix is modified directly without allocating another matrix.

Constraints:

• $1 \le$ mat.row, mat.col $\le 20$
• $-2^{31} \le$ mat[i][j] $\le 2^{31} - 1$

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We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.