You are given a $0$-indexed $m \times n$ integer matrix grid. The width of a column is defined as the maximum length among the decimal string representations of all integers in that column.

Return an integer array ans of size $n$, where ans[c] is the width of the $c^{\text{th}}$ column.

The length of an integer is the total number of characters in its string representation, including a negative sign if the number is negative.

Constraints:

• m == grid.length

• n == grid[i].length

• $1 \leq$ m, n $\leq 100$

• $-10^9 \leq$ grid[r][c] $\leq 10^9$

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.