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1879. Minimum XOR Sum of Two Arrays

{leetcode}/problems/minimum-xor-sum-of-two-arrays/[LeetCode - 1879. 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-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

思路分析

一刷
link:{sourcedir}/_1879_MinimumXorSumOfTwoArrays.java[role=include]

参考资料