XOR of all elements of array with set bits equal to K

Given an array of integers and a number K. The task is to find the XOR of only those elements of the array whose total set bits are equal to K.

Examples:

Input : arr[] = {1, 22, 3, 10}, K=1
Output : 1
Elements with set bits equal to 1 is 1.
So, XOR is also 1.

Input : arr[] = {3, 4, 10, 5, 8}, K=2
Output : 12

Approach:



  1. Initialize an empty vector.
  2. Traverse the array form left to right and check the set bits of each element.
  3. Use, C++ inbuilt function __builtin_popcount() to count setbits.
  4. Push the elements with K setbits into the vector.
  5. Finally find XOR of all the elements of the vector.

Below is the implementation of the above approach:

C++

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// C++ program to find Xor
// of all elements with set bits
// equal to K
#include <bits/stdc++.h>
using namespace std;
  
// Function to find Xor
// of desired elements
int xorGivenSetBits(int arr[], int n, int k)
{
    // Initialize vector
    vector<int> v;
  
    for (int i = 0; i < n; i++) {
        if (__builtin_popcount(arr[i]) == k) {
            // push required elements
            v.push_back(arr[i]);
        }
    }
  
    // Initialize result with first element of vector
    int result = v[0];
  
    for (int i = 1; i < v.size(); i++)
        result = result ^ v[i];
  
    return result;
}
  
// Driver code
int main()
{
    int arr[] = { 2, 13, 1, 19, 7 };
    int n = sizeof(arr) / sizeof(arr[0]);
    int k = 3;
  
    cout << xorGivenSetBits(arr, n, k);
  
    return 0;
}

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Java

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// Java program to find Xor
// of all elements with set bits
// equal to K
import java.util.*;
  
class GFG
{
  
    // Function to find Xor
    // of desired elements
    static int xorGivenSetBits(int arr[], 
                                int n, int k)
    {
        // Initialize vector
        Vector<Integer> v = new Vector<>();
  
        for (int i = 0; i < n; i++) 
        {
            if (Integer.bitCount(arr[i]) == k)
            {
                // push required elements
                v.add(arr[i]);
            }
        }
  
        // Initialize result with first element of vector
        int result = v.get(0);
  
        for (int i = 1; i < v.size(); i++) 
        {
            result = result ^ v.get(i);
        }
  
        return result;
    }
  
    // Driver code
    public static void main(String[] args) 
    {
        int arr[] = {2, 13, 1, 19, 7};
        int n = arr.length;
        int k = 3;
        System.out.println(xorGivenSetBits(arr, n, k));
    }
}
  
// This code contributed by Rajput-Ji

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Python3

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# Python 3 program to find Xor of all 
# elements with set bits equal to K
  
# Function to find Xor of desired elements
def xorGivenSetBits(arr, n, k):
      
    # Initialize vector
    v = []
    for i in range(0, n, 1):
        if (bin(arr[i]).count('1') == k):
              
            # push required elements
            v.append(arr[i])
          
    # Initialize result with first 
    # element of vector
    result = v[0]
  
    for i in range(1, len(v), 1):
        result = result ^ v[i]
  
    return result
  
# Driver code
if __name__ == '__main__':
    arr = [2, 13, 1, 19, 7]
    n = len(arr)
    k = 3
  
    print(xorGivenSetBits(arr, n, k))
  
# This code is contributed by
# Surendra_Gangwar

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C#

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// C# program to find Xor
// of all elements with set bits
// equal to K
using System;
using System.Collections;
using System.Linq;
  
class GFG
{
      
// Function to find Xor
// of desired elements
static int xorGivenSetBits(int []arr, int n, int k)
{
    // Initialize vector
    ArrayList v=new ArrayList();
  
    for (int i = 0; i < n; i++) 
    {
        if (Convert.ToString(arr[i], 2).Count(c => c == '1') == k) 
        {
            // push required elements
            v.Add(arr[i]);
        }
    }
  
    // Initialize result with first element of vector
    int result = (int)v[0];
  
    for (int i = 1; i < v.Count; i++)
        result = result ^ (int)v[i];
  
    return result;
}
  
// Driver code
static void Main()
{
    int []arr = { 2, 13, 1, 19, 7 };
    int n = arr.Length;
    int k = 3;
  
    Console.WriteLine(xorGivenSetBits(arr, n, k));
}
}
  
// This code is contributed by mits

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Output:

25


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