Given an integer n, return true if n can be represented as the sum of distinct powers of $3$. Otherwise, return false.

An integer y is a power of $3$ if there exists an integer x such that y $= 3^x$ where x $\geq 0$.

Constraints:

• $1 \leq$ n $\leq 10^7$

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.