Given a positive integer n, write a function that returns the number of set bits in its binary representation (also known as the Hamming weight).

Example 1:

  • Input: n = 11
  • Output: 3
  • Explanation: The input binary string 1011 has a total of three set bits.

Example 2:

  • Input: n = 128
  • Output: 1
  • Explanation: The input binary string 10000000 has a total of one set bit.

Example 3:

  • Input: n = 2147483645
  • Output: 30
  • Explanation: The input binary string 1111111111111111111111111111101 has a total of thirty set bits.

Constraints:

  • 1 <= n <= 231 - 1

Follow up: If this function is called many times, how would you optimize it?