Related Articles

# Maximum OR sum of sub-arrays of two different arrays

• Difficulty Level : Easy
• Last Updated : 12 Apr, 2021

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.
Note: Let f(x, l, r) is the OR sum of all the elements in the range [l, r] in array x.
Examples :

```Input : A[] = {1, 2, 4, 3, 2}
B[] = {2, 3, 3, 12, 1}
Output : 22
Explanation: Here, one way to get maximum
sum is to select sub-array [l = 2, r = 4]
f(A, 2, 4) = 2|4|3 = 7
f(B, 2, 4) = 3|3|12 = 15
So, f(A, 2, 4) + f(B, 2, 4) = 7 + 15 = 22.
This sum can be achieved in many other ways.

Input : A[] = {1, 2, 2}
B[] = {2, 1, 3}
Output : 6```

Observe the operation of Bitwise OR operator. If we take two integers X and Y, then (X|Y >= X). It can be proved by taking some examples. Lets derive a formula using the above equation. and also from the above two equations, So, we get maximum sum when we take the OR of the whole array -> Below is the implementation of above approach:

## C++

 `// CPP program to find maximum OR sum``#include ``using` `namespace` `std;` `// function to find maximum OR sum``void` `MaximumSum(``int` `a[], ``int` `b[], ``int` `n)``{``    ``int` `sum1 = 0, sum2 = 0;``    ` `    ``// OR sum of all the elements``    ``// in both arrays``    ``for` `(``int` `i = 0; i < n; i++) {``        ``sum1 |= a[i];``        ``sum2 |= b[i];``    ``}``    ``cout << sum1 + sum2 << endl;``}` `// Driver Code``int` `main()``{``    ``int` `A[] = { 1, 2, 4, 3, 2 };``    ``int` `B[] = { 2, 3, 3, 12, 1 };``    ``int` `n = ``sizeof``(A) / ``sizeof``(A);``    ``MaximumSum(A, B, n);``    ``return` `0;``}`

## Java

 `// Java program to find maximum OR sum` `class` `GFG {``    ` `// function to find maximum OR sum``static` `void` `MaximumSum(``int` `a[], ``int` `b[], ``int` `n)``{``    ``int` `sum1 = ``0``, sum2 = ``0``;` `    ``// OR sum of all the elements``    ``// in both arrays``    ``for` `(``int` `i = ``0``; i < n; i++) {``    ``sum1 |= a[i];``    ``sum2 |= b[i];``    ``}``    ``System.out.println(sum1 + sum2);``}` `// Driver code``public` `static` `void` `main(String arg[])``{``    ``int` `A[] = {``1``, ``2``, ``4``, ``3``, ``2``};``    ``int` `B[] = {``2``, ``3``, ``3``, ``12``, ``1``};``    ``int` `n = A.length;``    ``MaximumSum(A, B, n);``}``}` `// This code is contributed by Anant Agarwal.`

## Python3

 `# Python 3 program to``# find maximum OR sum` `# function to find``# maximum OR sum``def` `MaximumSum(a, b, n):` `    ``sum1 ``=` `0``    ``sum2 ``=` `0``    ` `    ``# OR sum of all the``    ``# elements in both arrays``    ``for` `i ``in` `range``(``0``, n):``        ``sum1 |``=` `a[i]``        ``sum2 |``=` `b[i]``    ` `    ``print``(sum1 ``+` `sum2)` `# Driver Code``A ``=` `[ ``1``, ``2``, ``4``, ``3``, ``2` `]``B ``=` `[ ``2``, ``3``, ``3``, ``12``, ``1` `]``n ``=` `len``(A)` `MaximumSum(A, B, n)` `# This code is contributed by Smitha Dinesh Semwal`

## C#

 `// C# program to find maximum OR sum``using` `System;` `class` `GFG {``    ` `    ``// function to find maximum OR sum``    ``static` `void` `MaximumSum(``int` `[]a, ``int` `[]b, ``int` `n)``    ``{``        ``int` `sum1 = 0, sum2 = 0;``    ` `        ``// OR sum of all the elements``        ``// in both arrays``        ``for` `(``int` `i = 0; i < n; i++)``        ``{``            ``sum1 |= a[i];``            ``sum2 |= b[i];``        ``}``        ``Console.WriteLine(sum1 + sum2);``    ``}``    ` `    ``// Driver code``    ``public` `static` `void` `Main()``    ``{``        ``int` `[]A = {1, 2, 4, 3, 2};``        ``int` `[]B = {2, 3, 3, 12, 1};``        ``int` `n = A.Length;``        ``MaximumSum(A, B, n);``    ``}``}` `// This code is contributed by Vt_m.`

## PHP

 ``

## Javascript

 ``

Output :

` 22`

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.  To complete your preparation from learning a language to DS Algo and many more,  please refer Complete Interview Preparation Course.

In case you wish to attend live classes with experts, please refer DSA Live Classes for Working Professionals and Competitive Programming Live for Students.

My Personal Notes arrow_drop_up