{ "data": { "question": { "questionId": "1989", "questionFrontendId": "1879", "categoryTitle": "Algorithms", "boundTopicId": 796301, "title": "Minimum XOR Sum of Two Arrays", "titleSlug": "minimum-xor-sum-of-two-arrays", "content": "
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).
[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.
\n\n\n
Example 1:
\n\n\nInput: nums1 = [1,2], nums2 = [2,3]\nOutput: 2\nExplanation: Rearrange\n\nnums2
so that it becomes[3,2]
.\nThe XOR sum is (1 XOR 3) + (2 XOR 2) = 2 + 0 = 2.
Example 2:
\n\n\nInput: nums1 = [1,0,3], nums2 = [5,3,4]\nOutput: 8\nExplanation: Rearrange\n\nnums2
so that it becomes[5,4,3]
. \nThe XOR sum is (1 XOR 5) + (0 XOR 4) + (3 XOR 3) = 4 + 4 + 0 = 8.\n
\n
Constraints:
\n\nn == nums1.length
n == nums2.length
1 <= n <= 14
0 <= nums1[i], nums2[i] <= 107
给你两个整数数组 nums1
和 nums2
,它们长度都为 n
。
两个数组的 异或值之和 为 (nums1[0] XOR nums2[0]) + (nums1[1] XOR nums2[1]) + ... + (nums1[n - 1] XOR nums2[n - 1])
(下标从 0 开始)。
[1,2,3]
和 [3,2,1]
的 异或值之和 等于 (1 XOR 3) + (2 XOR 2) + (3 XOR 1) = 2 + 0 + 2 = 4
。请你将 nums2
中的元素重新排列,使得 异或值之和 最小 。
请你返回重新排列之后的 异或值之和 。
\n\n\n\n
示例 1:
\n\n输入:nums1 = [1,2], nums2 = [2,3]\n输出:2\n解释:将\n\nnums2
重新排列得到[3,2] 。
\n异或值之和为 (1 XOR 3) + (2 XOR 2) = 2 + 0 = 2 。
示例 2:
\n\n输入:nums1 = [1,0,3], nums2 = [5,3,4]\n输出:8\n解释:将\n\nnums2 重新排列得到
[5,4,3] 。
\n异或值之和为 (1 XOR 5) + (0 XOR 4) + (3 XOR 3) = 4 + 4 + 0 = 8 。\n
\n\n
提示:
\n\nn == nums1.length
n == nums2.length
1 <= n <= 14
0 <= nums1[i], nums2[i] <= 107
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