How to Solve Minimum X O R Sum of Two Arrays Problem
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Minimum XOR Sum of Two Arrays
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-inde...
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Understanding the Minimum X O R Sum of Two Arrays Problem
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Problem Statement
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.
Minimum XOR Sum of Two Arrays
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Examples
nums1 = [1,2], nums2 = [2,3]
2
Rearrange nums2 so that it becomes [3,2]. The XOR sum is (1 XOR 3) + (2 XOR 2) = 2 + 0 = 2.
nums1 = [1,0,3], nums2 = [5,3,4]
8
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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