Save People

Chef has a $2$-D grid with $N$ rows and $M$ columns. The cell at the intersection of the $i$-th row and $j$-th column is denoted cell $(i, j)$. Initially, *only* cell $(x, y)$ of the grid is infected. Chef can select **exactly one** non-infected cell and *vaccinate* it. Then, the infection and the vaccine spread across the grid, as follows: - First, any cell that is neither vaccinated nor infecte