{ "data": { "question": { "questionId": "2567", "questionFrontendId": "2476", "categoryTitle": "Algorithms", "boundTopicId": 1974250, "title": "Closest Nodes Queries in a Binary Search Tree", "titleSlug": "closest-nodes-queries-in-a-binary-search-tree", "content": "

You are given the root of a binary search tree and an array queries of size n consisting of positive integers.

\n\n

Find a 2D array answer of size n where answer[i] = [mini, maxi]:

\n\n\n\n

Return the array answer.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: root = [6,2,13,1,4,9,15,null,null,null,null,null,null,14], queries = [2,5,16]\nOutput: [[2,2],[4,6],[15,-1]]\nExplanation: We answer the queries in the following way:\n- The largest number that is smaller or equal than 2 in the tree is 2, and the smallest number that is greater or equal than 2 is still 2. So the answer for the first query is [2,2].\n- The largest number that is smaller or equal than 5 in the tree is 4, and the smallest number that is greater or equal than 5 is 6. So the answer for the second query is [4,6].\n- The largest number that is smaller or equal than 16 in the tree is 15, and the smallest number that is greater or equal than 16 does not exist. So the answer for the third query is [15,-1].\n
\n\n

Example 2:

\n\"\"\n
\nInput: root = [4,null,9], queries = [3]\nOutput: [[-1,4]]\nExplanation: The largest number that is smaller or equal to 3 in the tree does not exist, and the smallest number that is greater or equal to 3 is 4. So the answer for the query is [-1,4].\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "二叉搜索树最近节点查询", "translatedContent": "

给你一个 二叉搜索树 的根节点 root ,和一个由正整数组成、长度为 n 的数组 queries

\n\n

请你找出一个长度为 n二维 答案数组 answer ,其中 answer[i] = [mini, maxi]

\n\n\n\n

返回数组 answer

\n\n

 

\n\n

示例 1 :

\n\n

\"\"

\n\n
\n输入:root = [6,2,13,1,4,9,15,null,null,null,null,null,null,14], queries = [2,5,16]\n输出:[[2,2],[4,6],[15,-1]]\n解释:按下面的描述找出并返回查询的答案:\n- 树中小于等于 2 的最大值是 2 ,且大于等于 2 的最小值也是 2 。所以第一个查询的答案是 [2,2] 。\n- 树中小于等于 5 的最大值是 4 ,且大于等于 5 的最小值是 6 。所以第二个查询的答案是 [4,6] 。\n- 树中小于等于 16 的最大值是 15 ,且大于等于 16 的最小值不存在。所以第三个查询的答案是 [15,-1] 。\n
\n\n

示例 2 :

\n\n

\"\"

\n\n
\n输入:root = [4,null,9], queries = [3]\n输出:[[-1,4]]\n解释:树中不存在小于等于 3 的最大值,且大于等于 3 的最小值是 4 。所以查询的答案是 [-1,4] 。\n
\n\n

 

\n\n

提示:

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}\n * TreeNode(int val, TreeNode left, TreeNode right) {\n * this.val = val;\n * this.left = left;\n * this.right = right;\n * }\n * }\n */\nclass Solution {\n public List> closestNodes(TreeNode root, List queries) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "# Definition for a binary tree node.\n# class TreeNode(object):\n# def __init__(self, val=0, left=None, right=None):\n# self.val = val\n# self.left = left\n# self.right = right\nclass Solution(object):\n def closestNodes(self, root, queries):\n \"\"\"\n :type root: Optional[TreeNode]\n :type queries: List[int]\n :rtype: List[List[int]]\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "# Definition for a binary tree node.\n# class TreeNode:\n# def __init__(self, val=0, left=None, right=None):\n# self.val = val\n# self.left = left\n# self.right = right\nclass Solution:\n def closestNodes(self, root: Optional[TreeNode], queries: List[int]) -> List[List[int]]:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "/**\n * Definition for a binary tree node.\n * struct TreeNode {\n * int val;\n * struct TreeNode *left;\n * struct TreeNode *right;\n * };\n */\n/**\n * Return an array of arrays of size *returnSize.\n * The sizes of the arrays are returned as *returnColumnSizes array.\n * Note: Both returned array and *columnSizes array must be malloced, assume caller calls free().\n */\nint** closestNodes(struct TreeNode* root, int* queries, int queriesSize, int* returnSize, int** returnColumnSizes) {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "/**\n * Definition for a binary tree node.\n * public class TreeNode {\n * public int val;\n * public TreeNode left;\n * public TreeNode right;\n * public TreeNode(int val=0, TreeNode left=null, TreeNode right=null) {\n * this.val = val;\n * this.left = left;\n * this.right = right;\n * }\n * }\n */\npublic class Solution {\n public IList> ClosestNodes(TreeNode root, IList queries) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * Definition for a binary tree node.\n * function TreeNode(val, left, right) {\n * this.val = (val===undefined ? 0 : val)\n * this.left = (left===undefined ? null : left)\n * this.right = (right===undefined ? null : right)\n * }\n */\n/**\n * @param {TreeNode} root\n * @param {number[]} queries\n * @return {number[][]}\n */\nvar closestNodes = function(root, queries) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "/**\n * Definition for a binary tree node.\n * class TreeNode {\n * val: number\n * left: TreeNode | null\n * right: TreeNode | null\n * constructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {\n * this.val = (val===undefined ? 0 : val)\n * this.left = (left===undefined ? null : left)\n * this.right = (right===undefined ? null : right)\n * }\n * }\n */\n\nfunction closestNodes(root: TreeNode | null, queries: number[]): number[][] {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "/**\n * Definition for a binary tree node.\n * class TreeNode {\n * public $val = null;\n * public $left = null;\n * public $right = null;\n * function __construct($val = 0, $left = null, $right = null) {\n * $this->val = $val;\n * $this->left = $left;\n * $this->right = $right;\n * }\n * }\n */\nclass Solution {\n\n /**\n * @param TreeNode $root\n * @param Integer[] $queries\n * @return Integer[][]\n */\n function closestNodes($root, $queries) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "/**\n * Definition for a binary tree node.\n * public class TreeNode {\n * public var val: Int\n * public var left: TreeNode?\n * public var right: TreeNode?\n * public init() { self.val = 0; self.left = nil; self.right = nil; }\n * public init(_ val: Int) { self.val = val; self.left = nil; self.right = nil; }\n * public init(_ val: Int, _ left: TreeNode?, _ right: TreeNode?) {\n * self.val = val\n * self.left = left\n * self.right = right\n * }\n * }\n */\nclass Solution {\n func closestNodes(_ root: TreeNode?, _ queries: [Int]) -> [[Int]] {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "/**\n * Example:\n * var ti = TreeNode(5)\n * var v = ti.`val`\n * Definition for a binary tree node.\n * class TreeNode(var `val`: Int) {\n * var left: TreeNode? = null\n * var right: TreeNode? = null\n * }\n */\nclass Solution {\n fun closestNodes(root: TreeNode?, queries: List): List> {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "/**\n * Definition for a binary tree node.\n * class TreeNode {\n * int val;\n * TreeNode? left;\n * TreeNode? right;\n * TreeNode([this.val = 0, this.left, this.right]);\n * }\n */\nclass Solution {\n List> closestNodes(TreeNode? root, List queries) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "/**\n * Definition for a binary tree node.\n * type TreeNode struct {\n * Val int\n * Left *TreeNode\n * Right *TreeNode\n * }\n */\nfunc closestNodes(root *TreeNode, queries []int) [][]int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# Definition for a binary tree node.\n# class TreeNode\n# attr_accessor :val, :left, :right\n# def initialize(val = 0, left = nil, right = nil)\n# @val = val\n# @left = left\n# @right = right\n# end\n# end\n# @param {TreeNode} root\n# @param {Integer[]} queries\n# @return {Integer[][]}\ndef closest_nodes(root, queries)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "/**\n * Definition for a binary tree node.\n * class TreeNode(_value: Int = 0, _left: TreeNode = null, _right: TreeNode = null) {\n * var value: Int = _value\n * var left: TreeNode = _left\n * var right: TreeNode = _right\n * }\n */\nobject Solution {\n def closestNodes(root: TreeNode, queries: List[Int]): List[List[Int]] = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "// Definition for a binary tree node.\n// #[derive(Debug, PartialEq, Eq)]\n// pub struct TreeNode {\n// pub val: i32,\n// pub left: Option>>,\n// pub right: Option>>,\n// }\n// \n// impl TreeNode {\n// #[inline]\n// pub fn new(val: i32) -> Self {\n// TreeNode {\n// val,\n// left: None,\n// right: None\n// }\n// }\n// }\nuse std::rc::Rc;\nuse std::cell::RefCell;\nimpl Solution {\n pub fn closest_nodes(root: Option>>, queries: Vec) -> Vec> {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "; Definition for a binary tree node.\n#|\n\n; val : integer?\n; left : (or/c tree-node? #f)\n; right : (or/c tree-node? #f)\n(struct tree-node\n (val left right) #:mutable #:transparent)\n\n; constructor\n(define (make-tree-node [val 0])\n (tree-node val #f #f))\n\n|#\n\n(define/contract (closest-nodes root queries)\n (-> (or/c tree-node? #f) (listof exact-integer?) (listof (listof exact-integer?)))\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "%% Definition for a binary tree node.\n%%\n%% -record(tree_node, {val = 0 :: integer(),\n%% left = null :: 'null' | #tree_node{},\n%% right = null :: 'null' | #tree_node{}}).\n\n-spec closest_nodes(Root :: #tree_node{} | null, Queries :: [integer()]) -> [[integer()]].\nclosest_nodes(Root, Queries) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "# Definition for a binary tree node.\n#\n# defmodule TreeNode do\n# @type t :: %__MODULE__{\n# val: integer,\n# left: TreeNode.t() | nil,\n# right: TreeNode.t() | nil\n# }\n# defstruct val: 0, left: nil, right: nil\n# end\n\ndefmodule Solution do\n @spec closest_nodes(root :: TreeNode.t | nil, queries :: [integer]) :: [[integer]]\n def closest_nodes(root, queries) do\n \n end\nend", "__typename": "CodeSnippetNode" }, { "lang": "Cangjie", "langSlug": "cangjie", "code": "/**\n * Definition for a binary tree node.\n * public class BinaryTreeNode {\n * public var val: Int64\n * public var left: ?BinaryTreeNode\n * public var right: ?BinaryTreeNode\n * public init() {\n * val = 0\n * left = None\n * right = None\n * }\n * public init(val: Int64) {\n * this()\n * this.val = val\n * }\n * }\n */\n\nclass Solution {\n func closestNodes(root: ?BinaryTreeNode, queries: ArrayList): ArrayList> {\n\n }\n}", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"24.5K\", \"totalSubmission\": \"47.7K\", \"totalAcceptedRaw\": 24481, \"totalSubmissionRaw\": 47659, \"acRate\": \"51.4%\"}", "hints": [ "Try to first convert the tree into a sorted array.", "How do you solve each query in O(log(n)) time using the array of the tree?" ], "solution": null, "status": null, "sampleTestCase": "[6,2,13,1,4,9,15,null,null,null,null,null,null,14]\n[2,5,16]", "metaData": "{\n \"name\": \"closestNodes\",\n \"params\": [\n {\n \"name\": \"root\",\n \"type\": \"TreeNode\"\n },\n {\n \"type\": \"list\",\n \"name\": \"queries\"\n }\n ],\n \"return\": {\n \"type\": \"list>\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "envInfo": "{\"cpp\":[\"C++\",\"

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