Array Manipulation and Sum

Given an array arr[] of N integers and an integer S. The task is to find an element K in the array such that if all the elements from the array > K are made equal to K then the sum of all the elements of the resultant array becomes equal to S. If it is not possible to find such an element then print -1 .

Examples:

Input: M = 15, arr[] = {12, 3, 6, 7, 8}
Output: 3
Resultant array = {3, 3, 3, 3, 3}
Sum of the array elements = 15 = S



Input: M = 5, arr[] = {1, 3, 2, 5, 8}
Output: 1

Approach: Sort the array. Traverse the array considering that the value of K is equal to the current element and then check if sum of the previous elements + (K * number of remaining elements) = S. If yes then print the value of K, if no such element found then print -1 in the end.

Below is the implementation of the above approach:

C++

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// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
  
// Function to return the required element
int getElement(int a[], int n, int S)
{
    // Sort the array
    sort(a, a + n);
  
    int sum = 0;
  
    for (int i = 0; i < n; i++) {
  
        // If current element
        // satisfies the condition
        if (sum + (a[i] * (n - i)) == S)
            return a[i];
        sum += a[i];
    }
  
    // No element found
    return -1;
}
  
// Driver code
int main()
{
    int S = 5;
    int a[] = { 1, 3, 2, 5, 8 };
    int n = sizeof(a) / sizeof(a[0]);
  
    cout << getElement(a, n, S);
  
    return 0;
}

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Java














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//Java implementation of the approach 


import java.util.Arrays; 


  


class GFG 


{ 


    // Function to return the required element 


    static int getElement(int a[], int n, int S) 


    { 


        // Sort the array 


        Arrays.sort(a); 


      


        int sum = 0; 


      


        for (int i = 0; i < n; i++)  


        { 


      


            // If current element 


            // satisfies the condition 


            if (sum + (a[i] * (n - i)) == S) 


                return a[i]; 


            sum += a[i]; 


        } 


      


        // No element found 


        return -1; 


    } 


      


    // Driver code 


    public static void main(String[] args) 


    { 


        int S = 5; 


        int a[] = { 1, 3, 2, 5, 8 }; 


        int n = a.length; 


      


        System.out.println(getElement(a, n, S)); 


    } 


} 


  


// This code is contributed by Mukul singh. 



















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Python 3














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# Python3 implementation of the approach  


  


# Function to return the required element  


def getElement(a, n, S) : 


      


    # Sort the array  


    a.sort();  


  


    sum = 0;  


  


    for i in range(n) : 


          


        # If current element  


        # satisfies the condition  


        if (sum + (a[i] * (n - i)) == S) : 


            return a[i];  


              


        sum += a[i];  


  


    # No element found  


    return -1;  


  


# Driver Code 


if __name__ == "__main__" : 


      


    S = 5;  


    a = [ 1, 3, 2, 5, 8 ];  


    n = len(a) ; 


  


    print(getElement(a, n, S)) ; 


      


# This code is contributed by Ryuga 



















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C#














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// C# implementation of the approach 


using System; 


  


class GFG 


{ 


    // Function to return the required element 


    static int getElement(int[] a, int n, int S) 


    { 


        // Sort the array 


        Array.Sort(a); 


      


        int sum = 0; 


      


        for (int i = 0; i < n; i++)  


        { 


      


            // If current element 


            // satisfies the condition 


            if (sum + (a[i] * (n - i)) == S) 


                return a[i]; 


            sum += a[i]; 


        } 


      


        // No element found 


        return -1; 


    } 


      


    // Driver code 


    public static void Main() 


    { 


        int S = 5; 


        int[] a = { 1, 3, 2, 5, 8 }; 


        int n = a.Length; 


      


        Console.WriteLine(getElement(a, n, S)); 


    } 


} 


  


// This code is contributed by Mukul singh. 



















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PHP














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<?php 


// PHP implementation of the approach 


  


// Function to return the required element 


function getElement($a, $n, $S) 


{ 


    // Sort the array 


    sort($a, 0); 


  


    $sum = 0; 


  


    for ($i = 0; $i < $n; $i++)  


    { 


  


        // If current element 


        // satisfies the condition 


        if ($sum + ($a[$i] *  


           ($n - $i)) == $S) 


            return $a[$i]; 


        $sum += $a[$i]; 


    } 


  


    // No element found 


    return -1; 


} 


  


// Driver code 


$S = 5; 


$a = array(1, 3, 2, 5, 8); 


$n = sizeof($a); 


  


echo getElement($a, $n, $S); 


  


// This code is contributed  


// by Akanksha Rai 


?> 



















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Output:


1






          
          
          

          

    

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