Given a list of non-negative integers, nums, rearrange them so that they form the largest possible number. As the result may be very large, return it as a string.

Constraints:

• $1 \leq$ nums.length $\leq 100$

• $0 \leq$ nums[i] $\leq 10^{3}$

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.