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Minimum value among AND of elements of every subset of an array

  • Difficulty Level : Basic
  • Last Updated : 09 Jun, 2021

Given an array of integers, the task is to find the AND of all elements of each subset of the array and print the minimum AND value among all those.
Examples: 
 

Input: arr[] = {1, 2, 3}
Output: 0
AND of all possible subsets 
(1 & 2) = 0,
(1 & 3) = 1,
(2 & 3) = 2 and 
(1 & 2 & 3) = 0. 
Minimum among these is 0. 

Input: arr[] = {7, 2}
Output: 2    

 

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Approach: The minimum AND value of any subset of the array will be the AND of all the elements of the array. So, the simplest way is to find AND of all elements of sub-array.
Below is the implementation of the above approach: 
Implementation: 
 

C++




// C++ program for the above approach
#include<bits/stdc++.h>
using namespace std;
 
void minAND(int arr[], int n)
{
 
    int s = arr[0];
 
    // Find AND of whole array
    for (int i = 1; i < n; i++)
    {
        s = s & arr[i];
    }
 
    // Print the answer
    cout << (s) << endl;
}
     
// Driver code
int main()
{
    int arr[] = {1, 2, 3};
    int n = sizeof(arr)/sizeof(int);
    minAND(arr, n);
}
 
// This code has been contributed by Arnab Kundu

Java




// Java program for the above approach
class GFG
{
 
    static void minAND(int[] arr, int n)
    {
 
        int s = arr[0];
 
        // Find AND of whole array
        for (int i = 1; i < n; i++)
        {
            s = s & arr[i];
        }
 
        // Print the answer
        System.out.println(s);
    }
     
    // Driver code
    public static void main(String[] args)
    {
        int[] arr = {1, 2, 3};
        int n = arr.length;
        minAND(arr, n);
    }
}
 
// This code has been contributed by 29AjayKumar

Python




# Python program for the above approach
def minAND(arr, n):
     
    s = arr[0]
     
    # Find AND of whole array
    for i in range(1, n):
        s = s & arr[i]
     
    # Print the answer
    print(s)
 
# Driver code
arr = [1, 2, 3]
n = len(arr)
minAND(arr, n)

C#




// C# program for the above approach
class GFG
{
 
    static void minAND(int[] arr, int n)
    {
 
        int s = arr[0];
 
        // Find AND of whole array
        for (int i = 1; i < n; i++)
        {
            s = s & arr[i];
        }
 
        // Print the answer
        System.Console.WriteLine(s);
    }
     
    // Driver code
    static void Main()
    {
        int[] arr = {1, 2, 3};
        int n = arr.Length;
        minAND(arr, n);
    }
}
 
// This code has been contributed by chandan_jnu

PHP




<?php
// PHP program for the above approach
 
function minAND($arr, $n)
{
 
    $s = $arr[0];
 
    // Find AND of whole array
    for ($i = 1; $i < $n; $i++)
    {
        $s = $s & $arr[$i];
    }
 
    // Print the answer
    print($s . "\n");
}
     
// Driver code
$arr = array(1, 2, 3);
$n = count($arr);
minAND($arr, $n);
 
// This code is contributed
// by chandan_jnu
?>

Javascript




<script>
// Javascript implementation of the approach
function minAND(arr, n) {
 
    let s = arr[0];
 
    // Find AND of whole array
    for (let i = 1; i < n; i++) {
        s = s & arr[i];
    }
 
    // Prlet the answer
    document.write((s) + "<br>");
}
 
// Driver code
 
let arr = [1, 2, 3];
let n = arr.length;
minAND(arr, n);
 
 
// This code is contributed by _saurabh_jaiswal
</script>
Output: 
0

 




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