1889. Check if Number is a Sum of Powers of Three

Medium
Math

Description

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 <= 107

Hints

Hint 1
Let's note that the maximum power of 3 you'll use in your soln is 3^16
Hint 2
The number can not be represented as a sum of powers of 3 if it's ternary presentation has a 2 in it

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