Problem Link

Description


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 == 4x.

 

Example 1:

Input: n = 16
Output: true

Example 2:

Input: n = 5
Output: false

Example 3:

Input: n = 1
Output: true

 

Constraints:

  • -231 <= n <= 231 - 1

 

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

Solution


Python3

class Solution:
    def isPowerOfFour(self, n: int) -> bool:
        # 1. there is only one set bit
        # 2. the set bit must be at odd position (from left)
        
        if n < 0: return False
 
        for k in range(0, 32, 2):
            if (1 << k) == n: return True
        
        return False