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Check if Number is a Sum of Powers of Three

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

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 == 3x.

Example 1

Input: n = 12

Output: true

Explanation: 12 = 31 + 32

Example 2

Input: n = 91

Output: true

Explanation: 91 = 30 + 32 + 34

Example 3

Input: n = 21

Output: false

Constraints

  • 1 <= n <= 10^7

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