Check if Number is a Sum of Powers of Three

Medium

Problem

Given an integer n, return true if it is possible to represent n as the sum of distinct powers of three. Otherwise, return false.

An integer y is a power of three if there exists an integer x such that y == 3^x.

Input: n = 12

Output: true

12 = 3^1 + 3^2 = 3 + 9

Input: n = 91

Output: true

91 = 3^0 + 3^2 + 3^4 = 1 + 9 + 81

Input: n = 21

Output: false

21 cannot be represented as a sum of distinct powers of three.

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