1879. Minimum XOR Sum of Two Arrays

https://leetcode.com/problems/minimum-xor-sum-of-two-arrays

Description

You are given two integer arrays nums1 and nums2 of length n.

The XOR sum of the two integer arrays is (nums1[0] XOR nums2[0]) + (nums1[1] XOR nums2[1]) + ... + (nums1[n - 1] XOR nums2[n - 1]) (0-indexed).

  • For example, the XOR sum of [1,2,3] and [3,2,1] is equal to (1 XOR 3) + (2 XOR 2) + (3 XOR 1) = 2 + 0 + 2 = 4.

Rearrange the elements of nums2 such that the resulting XOR sum is minimized.

Return the XOR sum after the rearrangement.

Example 1:

**Input:** nums1 = [1,2], nums2 = [2,3]
**Output:** 2
**Explanation:** Rearrange nums2 so that it becomes [3,2].
The XOR sum is (1 XOR 3) + (2 XOR 2) = 2 + 0 = 2.

Example 2:

**Input:** nums1 = [1,0,3], nums2 = [5,3,4]
**Output:** 8
**Explanation:** Rearrange nums2 so that it becomes [5,4,3]. 
The XOR sum is (1 XOR 5) + (0 XOR 4) + (3 XOR 3) = 4 + 4 + 0 = 8.

Constraints:

  • n == nums1.length

  • n == nums2.length

  • 1 <= n <= 14

  • 0 <= nums1[i], nums2[i] <= 107

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