{ "data": { "question": { "questionId": "2068", "questionFrontendId": "1938", "categoryTitle": "Algorithms", "boundTopicId": 875344, "title": "Maximum Genetic Difference Query", "titleSlug": "maximum-genetic-difference-query", "content": "

There is a rooted tree consisting of n nodes numbered 0 to n - 1. Each node's number denotes its unique genetic value (i.e. the genetic value of node x is x). The genetic difference between two genetic values is defined as the bitwise-XOR of their values. You are given the integer array parents, where parents[i] is the parent for node i. If node x is the root of the tree, then parents[x] == -1.

\n\n

You are also given the array queries where queries[i] = [nodei, vali]. For each query i, find the maximum genetic difference between vali and pi, where pi is the genetic value of any node that is on the path between nodei and the root (including nodei and the root). More formally, you want to maximize vali XOR pi.

\n\n

Return an array ans where ans[i] is the answer to the ith query.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: parents = [-1,0,1,1], queries = [[0,2],[3,2],[2,5]]\nOutput: [2,3,7]\nExplanation: The queries are processed as follows:\n- [0,2]: The node with the maximum genetic difference is 0, with a difference of 2 XOR 0 = 2.\n- [3,2]: The node with the maximum genetic difference is 1, with a difference of 2 XOR 1 = 3.\n- [2,5]: The node with the maximum genetic difference is 2, with a difference of 5 XOR 2 = 7.\n
\n\n

Example 2:

\n\"\"\n
\nInput: parents = [3,7,-1,2,0,7,0,2], queries = [[4,6],[1,15],[0,5]]\nOutput: [6,14,7]\nExplanation: The queries are processed as follows:\n- [4,6]: The node with the maximum genetic difference is 0, with a difference of 6 XOR 0 = 6.\n- [1,15]: The node with the maximum genetic difference is 1, with a difference of 15 XOR 1 = 14.\n- [0,5]: The node with the maximum genetic difference is 2, with a difference of 5 XOR 2 = 7.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "查询最大基因差", "translatedContent": "

给你一棵 n 个节点的有根树，节点编号从 0 到 n - 1 。每个节点的编号表示这个节点的 独一无二的基因值 （也就是说节点 x 的基因值为 x）。两个基因值的 基因差 是两者的 异或和 。给你整数数组 parents ，其中 parents[i] 是节点 i 的父节点。如果节点 x 是树的 根 ，那么 parents[x] == -1 。

\n\n

给你查询数组 queries ，其中 queries[i] = [nodei, vali] 。对于查询 i ，请你找到 vali 和 pi 的 最大基因差 ，其中 pi 是节点 nodei 到根之间的任意节点（包含 nodei 和根节点）。更正式的，你想要最大化 vali XOR pi 。

\n\n

请你返回数组 ans ，其中 ans[i] 是第 i 个查询的答案。

\n\n

 

\n\n

示例 1：

\n\"\"\n
输入：parents = [-1,0,1,1], queries = [[0,2],[3,2],[2,5]]\n输出：[2,3,7]\n解释：查询数组处理如下：\n- [0,2]：最大基因差的对应节点为 0 ，基因差为 2 XOR 0 = 2 。\n- [3,2]：最大基因差的对应节点为 1 ，基因差为 2 XOR 1 = 3 。\n- [2,5]：最大基因差的对应节点为 2 ，基因差为 5 XOR 2 = 7 。\n
\n\n

示例 2：

\n\"\"\n
输入：parents = [3,7,-1,2,0,7,0,2], queries = [[4,6],[1,15],[0,5]]\n输出：[6,14,7]\n解释：查询数组处理如下：\n- [4,6]：最大基因差的对应节点为 0 ，基因差为 6 XOR 0 = 6 。\n- [1,15]：最大基因差的对应节点为 1 ，基因差为 15 XOR 1 = 14 。\n- [0,5]：最大基因差的对应节点为 2 ，基因差为 5 XOR 2 = 7 。\n
\n\n

 

\n\n

提示：

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