{ "data": { "question": { "questionId": "2131", "questionFrontendId": "2003", "categoryTitle": "Algorithms", "boundTopicId": 986620, "title": "Smallest Missing Genetic Value in Each Subtree", "titleSlug": "smallest-missing-genetic-value-in-each-subtree", "content": "

There is a family tree rooted at 0 consisting of n nodes numbered 0 to n - 1. You are given a 0-indexed integer array parents, where parents[i] is the parent for node i. Since node 0 is the root, parents[0] == -1.

\n\n

There are 105 genetic values, each represented by an integer in the inclusive range [1, 105]. You are given a 0-indexed integer array nums, where nums[i] is a distinct genetic value for node i.

\n\n

Return an array ans of length n where ans[i] is the smallest genetic value that is missing from the subtree rooted at node i.

\n\n

The subtree rooted at a node x contains node x and all of its descendant nodes.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: parents = [-1,0,0,2], nums = [1,2,3,4]\nOutput: [5,1,1,1]\nExplanation: The answer for each subtree is calculated as follows:\n- 0: The subtree contains nodes [0,1,2,3] with values [1,2,3,4]. 5 is the smallest missing value.\n- 1: The subtree contains only node 1 with value 2. 1 is the smallest missing value.\n- 2: The subtree contains nodes [2,3] with values [3,4]. 1 is the smallest missing value.\n- 3: The subtree contains only node 3 with value 4. 1 is the smallest missing value.\n
\n\n

Example 2:

\n\"\"\n
\nInput: parents = [-1,0,1,0,3,3], nums = [5,4,6,2,1,3]\nOutput: [7,1,1,4,2,1]\nExplanation: The answer for each subtree is calculated as follows:\n- 0: The subtree contains nodes [0,1,2,3,4,5] with values [5,4,6,2,1,3]. 7 is the smallest missing value.\n- 1: The subtree contains nodes [1,2] with values [4,6]. 1 is the smallest missing value.\n- 2: The subtree contains only node 2 with value 6. 1 is the smallest missing value.\n- 3: The subtree contains nodes [3,4,5] with values [2,1,3]. 4 is the smallest missing value.\n- 4: The subtree contains only node 4 with value 1. 2 is the smallest missing value.\n- 5: The subtree contains only node 5 with value 3. 1 is the smallest missing value.\n
\n\n

Example 3:

\n\n
\nInput: parents = [-1,2,3,0,2,4,1], nums = [2,3,4,5,6,7,8]\nOutput: [1,1,1,1,1,1,1]\nExplanation: The value 1 is missing from all the subtrees.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "每棵子树内缺失的最小基因值", "translatedContent": "

有一棵根节点为 0 的 家族树 ，总共包含 n 个节点，节点编号为 0 到 n - 1 。给你一个下标从 0 开始的整数数组 parents ，其中 parents[i] 是节点 i 的父节点。由于节点 0 是 根 ，所以 parents[0] == -1 。

\n\n

总共有 105 个基因值，每个基因值都用 闭区间 [1, 105] 中的一个整数表示。给你一个下标从 0 开始的整数数组 nums ，其中 nums[i] 是节点 i 的基因值，且基因值 互不相同 。

\n\n

请你返回一个数组 ans ，长度为 n ，其中 ans[i] 是以节点 i 为根的子树内 缺失 的 最小 基因值。

\n\n

节点 x 为根的 子树 包含节点 x 和它所有的 后代 节点。

\n\n

 

\n\n

示例 1：

\n\n

\"\"

\n\n
输入：parents = [-1,0,0,2], nums = [1,2,3,4]\n输出：[5,1,1,1]\n解释：每个子树答案计算结果如下：\n- 0：子树包含节点 [0,1,2,3] ，基因值分别为 [1,2,3,4] 。5 是缺失的最小基因值。\n- 1：子树只包含节点 1 ，基因值为 2 。1 是缺失的最小基因值。\n- 2：子树包含节点 [2,3] ，基因值分别为 [3,4] 。1 是缺失的最小基因值。\n- 3：子树只包含节点 3 ，基因值为 4 。1是缺失的最小基因值。\n
\n\n

示例 2：

\n\n

\"\"

\n\n
输入：parents = [-1,0,1,0,3,3], nums = [5,4,6,2,1,3]\n输出：[7,1,1,4,2,1]\n解释：每个子树答案计算结果如下：\n- 0：子树内包含节点 [0,1,2,3,4,5] ，基因值分别为 [5,4,6,2,1,3] 。7 是缺失的最小基因值。\n- 1：子树内包含节点 [1,2] ，基因值分别为 [4,6] 。 1 是缺失的最小基因值。\n- 2：子树内只包含节点 2 ，基因值为 6 。1 是缺失的最小基因值。\n- 3：子树内包含节点 [3,4,5] ，基因值分别为 [2,1,3] 。4 是缺失的最小基因值。\n- 4：子树内只包含节点 4 ，基因值为 1 。2 是缺失的最小基因值。\n- 5：子树内只包含节点 5 ，基因值为 3 。1 是缺失的最小基因值。\n
\n\n

示例 3：

\n\n
输入：parents = [-1,2,3,0,2,4,1], nums = [2,3,4,5,6,7,8]\n输出：[1,1,1,1,1,1,1]\n解释：所有子树都缺失基因值 1 。\n
\n\n

 

\n\n

提示：

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Dart 2.17.3<\\/p>\\r\\n\\r\\n
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