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Question

Formatted question description: https://leetcode.ca/all/191.html

Write a function that takes the binary representation of an unsigned integer and returns the number of '1' bits it has (also known as the Hamming weight).

Note:

  • Note that in some languages, such as Java, there is no unsigned integer type. In this case, the input will be given as a signed integer type. It should not affect your implementation, as the integer's internal binary representation is the same, whether it is signed or unsigned.
  • In Java, the compiler represents the signed integers using 2's complement notation. Therefore, in Example 3, the input represents the signed integer. -3.

 

Example 1:

Input: n = 00000000000000000000000000001011
Output: 3
Explanation: The input binary string 00000000000000000000000000001011 has a total of three '1' bits.

Example 2:

Input: n = 00000000000000000000000010000000
Output: 1
Explanation: The input binary string 00000000000000000000000010000000 has a total of one '1' bit.

Example 3:

Input: n = 11111111111111111111111111111101
Output: 31
Explanation: The input binary string 11111111111111111111111111111101 has a total of thirty one '1' bits.

 

Constraints:

  • The input must be a binary string of length 32.

 

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

Algorithm

Sum up &1 result.

Code

  • 
    public class Number_of_1_Bits {
    
        public static void main(String[] args) {
            Number_of_1_Bits out = new Number_of_1_Bits();
    
            Solution s = out.new Solution();
    
            System.out.println(s.hammingWeight(11));
        }
    
        public class Solution {
            // you need to treat n as an unsigned value
            public int hammingWeight(int n) {
    
                int count = 0;
    
                while (n > 0) {
                    count += n & 1;
    
                    n >>= 1;
                }
                return count;
            }
        }
    
        public class Solution_cheat {
            // you need to treat n as an unsigned value
            public int hammingWeight(int n) {
                return Integer.bitCount(n); // Returns the number of one-bits in the two's complement binary representation
            }
        }
    
        public class Solution_toBinaryString {
            // you need to treat n as an unsigned value
            public int hammingWeight(int n) {
    
                String binaryString = Integer.toBinaryString(n);
    
                int count = 0;
                for (int i = 0; i < binaryString.length(); i++) {
                    if (binaryString.charAt(i) == '1') {
                        count++;
                    }
                }
    
                return count;
            }
        }
    }
    
    ############
    
    public class Solution {
        // you need to treat n as an unsigned value
        public int hammingWeight(int n) {
            int ans = 0;
            while (n != 0) {
                n &= n - 1;
                ++ans;
            }
            return ans;
        }
    }
    
  • // OJ: https://leetcode.com/problems/number-of-1-bits/
    // Time: O(1)
    // Space: O(1)
    class Solution {
    public:
        int hammingWeight(uint32_t n) {
            int ans = 0;
            for (; n; n -= (n & -n)) ++ans;
            return ans;
        }
    };
    
  • class Solution:
        def hammingWeight(self, n: int) -> int:
            ans = 0
            while n:
                n &= n - 1
                ans += 1
            return ans
    
    ############
    
    class Solution(object):
      def hammingWeight(self, n):
        """
        :type n: int
        :rtype: int
        """
        ans = 0
        while n > 0:
          n -= (n & -n)
          ans += 1
        return ans
    
    
  • func hammingWeight(num uint32) int {
    	ans := 0
    	for num != 0 {
    		num &= num - 1
    		ans++
    	}
    	return ans
    }
    
  • /**
     * @param {number} n - a positive integer
     * @return {number}
     */
    var hammingWeight = function (n) {
        let ans = 0;
        while (n) {
            n &= n - 1;
            ++ans;
        }
        return ans;
    };
    
    
  • impl Solution {
        pub fn hammingWeight(n: u32) -> i32 {
            n.count_ones() as i32
        }
    }
    
    

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