花花酱 LeetCode 1780. 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. 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

Solution: Greedy + Math

Find the largest 3^x that <= n, subtract that from n and repeat the process.
x should be monotonically decreasing, otherwise we have duplicate terms.
e.g. 12 = 3² + 3¹ true
e.g. 21 = 3² + 3²+ 3¹ false

Time complexity: O(logn?)
Space complexity: O(1)