342. Power of Four

1 Description #

source: https://leetcode.com/problems/power-of-four/

Given an integer n, return true if it is a power of four. Otherwise, return false.

An integer n is a power of four, if there exists an integer x such that n == 4^x.

Example 1:

Input: n = 16
Output: true

Example 2:

Input: n = 5
Output: false

Example 3:

Input: n = 1
Output: true

Constraints:

-2^31 <= n <= 2^31 - 1

Follow up: Could you solve it without loops/recursion?

2 Solution #

#include <bitset>
class Solution {
public:
  bool isPowerOfFour(int n) {
    // Space complexity: O(33) -> O(1)
    // Time complexity: O(33) -> O(1)
    std::bitset<33> binary = std::bitset<33>(n);
    if (binary.count() != 1) {
      return false;
    }

    std::string bin_str = binary.to_string();
    for (int i = bin_str.size() - 1; i >= 0; i--) {
      if (bin_str[i] == '1') {
	return (bin_str.size() - 1 - i) % 2 == 0;
      }
    }

    return false;
  }
};