Easy

Number of 1 Bits

Description

Count set bits in a nonnegative 32-bit integer.

Solution

def hamming_weight(n):
    count = 0
    while n:
        n &= n-1
        count += 1
    return count

Examples

Example 1

Input
[11]
Output
3

11 in binary is 1011, with three ones.

Example 2

Input
[0]
Output
0

Zero contains no set bits.

Example 3

Input
[128]
Output
1

128 is a power of two with one set bit.

Approach

Repeatedly clear the lowest set bit until the value becomes zero.

Time & space

O(b) time for b set bits, at most 32; O(1) space.