Maximum Possible Difference of Two Subsets of an Array in C++

In this tutorial, we will be discussing a program to find maximum possible difference of two subsets of an array

For this we will be provided with an array containing one or two instances of few random integers. Our task is to create two subsets of that array such that the difference of their sum is maximum and no subset contains repetitive numbers.

Example

 Live Demo

#include <bits/stdc++.h>
using namespace std;
//finding maximum subset difference
int maxDiff(int arr[], int n) {
   int SubsetSum_1 = 0, SubsetSum_2 = 0;
   for (int i = 0; i <= n - 1; i++) {
      bool isSingleOccurance = true;
      for (int j = i + 1; j <= n - 1; j++) {
         if (arr[i] == arr[j]) {
            isSingleOccurance = false;
            arr[i] = arr[j] = 0;
            break;
         }
      }
      if (isSingleOccurance) {
         if (arr[i] > 0)
            SubsetSum_1 += arr[i];
         else
            SubsetSum_2 += arr[i];
      }
   }
   return abs(SubsetSum_1 - SubsetSum_2);
}
int main() {
   int arr[] = { 4, 2, -3, 3, -2, -2, 8 };
   int n = sizeof(arr) / sizeof(arr[0]);
   cout << "Maximum Difference = " << maxDiff(arr, n);
   return 0;
}

Output

Maximum Difference = 20