Given a non negative integer c, determine whether there exist integers a and b such that $a^2 + b^2 = c$. Return true if such integers exist, otherwise return false.

Note: a and b are allowed to be $0$.

Constraints:

• $0 \leq$ c $\leq 2^{31} - 1$

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.