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342. Power of Four

Difficulty:
Easy
Related Topics:
  • Math
  • Bit Manipulation
  • Recursion
Similar Questions:
Leetcode:

Problem

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

/**
 * @param {number} n
 * @return {boolean}
 */
var isPowerOfFour = function(n) {
    var num = 0b1010101010101010101010101010101;
    return n > 0 && (n & (n - 1)) === 0 && (n & num) === n;
};

Explain:

nope.

Complexity:

  • Time complexity : O(1).
  • Space complexity : O(1).