Maximum OR sum of sub-arrays of two different arrays in C++


Problem statement

Given two arrays of positive integers. Select two sub-arrays of equal size from each array and calculate maximum possible OR sum of the two sub-arrays.

Example

If arr1[] = {1, 2, 4, 3, 2} and

Arr2[] = {1, 3, 3, 12, 2} then maximum result is obtained when we create following two subarrays −

Subarr1[] = {2, 4, 3} and

Subarr2[] = {3, 3, 12}

Algorithm

We can use below formula to gets result −

f(a, 1, n) + f(b, 1, n)

Example

 Live Demo

#include <bits/stdc++.h>
using namespace std;
int getMaximumSum(int *arr1, int *arr2, int n) {
   int sum1 = 0;
   int sum2 = 0;
   for (int i = 0; i < n; ++i) {
      sum1 = sum1 | arr1[i];
      sum2 = sum2 | arr2[i];
   }
   return sum1 + sum2;
}
int main() {
   int arr1[] = {1, 2, 4, 3, 2};
   int arr2[] = {1, 3, 3, 12, 2};
   int n = sizeof(arr1) / sizeof(arr1[0]);
   cout << "Maximum result = " << getMaximumSum(arr1, arr2, n) << endl;
   return 0;
}

Output

When you compile and execute above program. It generates following output −

Maximum result = 22

Updated on: 10-Jan-2020

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