You are given an integer array nums and an integer value.

In an operation, you can add or subtract value to or from any element of nums. This operation can be applied any number of times to any element.

Return the maximum MEX (minimum excluded value) of nums that can be obtained after applying any number of operations.

Note: The MEX of an array is the smallest integer greater than or equal to $0$ that is not present in the array.

Constraints:

• $1 \leq$ nums.length, value $\leq 10^5$

• $-10^9 \leq$ nums[i] $\leq 10^9$

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.