Given an n x n binary matrix grid, you are permitted to flip at most one cell from $0$ to $1$. After performing this operation, return the size of the largest island in grid.

An island is defined as a group of $1$s that are connected in $4$ directions (up, down, left, right).

Constraints:

• n == grid.length

• n == grid[i].length

• $1 \leq$ n $\leq 500$

• grid[i][j] is either $0$ or $1$

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

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.