mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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192 lines
23 KiB
JSON
192 lines
23 KiB
JSON
{
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"data": {
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"question": {
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"questionId": "1296",
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"questionFrontendId": "1483",
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"boundTopicId": null,
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"title": "Kth Ancestor of a Tree Node",
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"titleSlug": "kth-ancestor-of-a-tree-node",
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"content": "<p>You are given a tree with <code>n</code> nodes numbered from <code>0</code> to <code>n - 1</code> in the form of a parent array <code>parent</code> where <code>parent[i]</code> is the parent of <code>i<sup>th</sup></code> node. The root of the tree is node <code>0</code>. Find the <code>k<sup>th</sup></code> ancestor of a given node.</p>\n\n<p>The <code>k<sup>th</sup></code> ancestor of a tree node is the <code>k<sup>th</sup></code> node in the path from that node to the root node.</p>\n\n<p>Implement the <code>TreeAncestor</code> class:</p>\n\n<ul>\n\t<li><code>TreeAncestor(int n, int[] parent)</code> Initializes the object with the number of nodes in the tree and the parent array.</li>\n\t<li><code>int getKthAncestor(int node, int k)</code> return the <code>k<sup>th</sup></code> ancestor of the given node <code>node</code>. If there is no such ancestor, return <code>-1</code>.</li>\n</ul>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/08/28/1528_ex1.png\" style=\"width: 396px; height: 262px;\" />\n<pre>\n<strong>Input</strong>\n["TreeAncestor", "getKthAncestor", "getKthAncestor", "getKthAncestor"]\n[[7, [-1, 0, 0, 1, 1, 2, 2]], [3, 1], [5, 2], [6, 3]]\n<strong>Output</strong>\n[null, 1, 0, -1]\n\n<strong>Explanation</strong>\nTreeAncestor treeAncestor = new TreeAncestor(7, [-1, 0, 0, 1, 1, 2, 2]);\ntreeAncestor.getKthAncestor(3, 1); // returns 1 which is the parent of 3\ntreeAncestor.getKthAncestor(5, 2); // returns 0 which is the grandparent of 5\ntreeAncestor.getKthAncestor(6, 3); // returns -1 because there is no such ancestor</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= k <= n <= 5 * 10<sup>4</sup></code></li>\n\t<li><code>parent.length == n</code></li>\n\t<li><code>parent[0] == -1</code></li>\n\t<li><code>0 <= parent[i] < n</code> for all <code>0 < i < n</code></li>\n\t<li><code>0 <= node < n</code></li>\n\t<li>There will be at most <code>5 * 10<sup>4</sup></code> queries.</li>\n</ul>\n",
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"translatedTitle": null,
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"translatedContent": null,
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"isPaidOnly": false,
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"difficulty": "Hard",
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"likes": 976,
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"dislikes": 83,
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"similarQuestions": "[]",
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"exampleTestcases": "[\"TreeAncestor\",\"getKthAncestor\",\"getKthAncestor\",\"getKthAncestor\"]\n[[7,[-1,0,0,1,1,2,2]],[3,1],[5,2],[6,3]]",
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"categoryTitle": "Algorithms",
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"contributors": [],
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"topicTags": [
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{
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"name": "Binary Search",
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"slug": "binary-search",
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"translatedName": null,
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"__typename": "TopicTagNode"
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},
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"name": "Dynamic Programming",
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"name": "Tree",
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},
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"name": "Depth-First Search",
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"slug": "depth-first-search",
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"translatedName": null,
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"__typename": "TopicTagNode"
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},
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{
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"name": "Breadth-First Search",
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"slug": "breadth-first-search",
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"name": "Design",
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"codeSnippets": [
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{
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"lang": "C++",
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"langSlug": "cpp",
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"code": "class TreeAncestor {\npublic:\n TreeAncestor(int n, vector<int>& parent) {\n \n }\n \n int getKthAncestor(int node, int k) {\n \n }\n};\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * TreeAncestor* obj = new TreeAncestor(n, parent);\n * int param_1 = obj->getKthAncestor(node,k);\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Java",
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"langSlug": "java",
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"code": "class TreeAncestor {\n\n public TreeAncestor(int n, int[] parent) {\n \n }\n \n public int getKthAncestor(int node, int k) {\n \n }\n}\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * TreeAncestor obj = new TreeAncestor(n, parent);\n * int param_1 = obj.getKthAncestor(node,k);\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Python",
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"langSlug": "python",
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"code": "class TreeAncestor(object):\n\n def __init__(self, n, parent):\n \"\"\"\n :type n: int\n :type parent: List[int]\n \"\"\"\n \n\n def getKthAncestor(self, node, k):\n \"\"\"\n :type node: int\n :type k: int\n :rtype: int\n \"\"\"\n \n\n\n# Your TreeAncestor object will be instantiated and called as such:\n# obj = TreeAncestor(n, parent)\n# param_1 = obj.getKthAncestor(node,k)",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Python3",
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"langSlug": "python3",
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"code": "class TreeAncestor:\n\n def __init__(self, n: int, parent: List[int]):\n \n\n def getKthAncestor(self, node: int, k: int) -> int:\n \n\n\n# Your TreeAncestor object will be instantiated and called as such:\n# obj = TreeAncestor(n, parent)\n# param_1 = obj.getKthAncestor(node,k)",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "C",
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"langSlug": "c",
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"code": "\n\n\ntypedef struct {\n \n} TreeAncestor;\n\n\nTreeAncestor* treeAncestorCreate(int n, int* parent, int parentSize) {\n \n}\n\nint treeAncestorGetKthAncestor(TreeAncestor* obj, int node, int k) {\n \n}\n\nvoid treeAncestorFree(TreeAncestor* obj) {\n \n}\n\n/**\n * Your TreeAncestor struct will be instantiated and called as such:\n * TreeAncestor* obj = treeAncestorCreate(n, parent, parentSize);\n * int param_1 = treeAncestorGetKthAncestor(obj, node, k);\n \n * treeAncestorFree(obj);\n*/",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "C#",
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"langSlug": "csharp",
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"code": "public class TreeAncestor {\n\n public TreeAncestor(int n, int[] parent) {\n \n }\n \n public int GetKthAncestor(int node, int k) {\n \n }\n}\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * TreeAncestor obj = new TreeAncestor(n, parent);\n * int param_1 = obj.GetKthAncestor(node,k);\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "JavaScript",
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"langSlug": "javascript",
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"code": "/**\n * @param {number} n\n * @param {number[]} parent\n */\nvar TreeAncestor = function(n, parent) {\n \n};\n\n/** \n * @param {number} node \n * @param {number} k\n * @return {number}\n */\nTreeAncestor.prototype.getKthAncestor = function(node, k) {\n \n};\n\n/** \n * Your TreeAncestor object will be instantiated and called as such:\n * var obj = new TreeAncestor(n, parent)\n * var param_1 = obj.getKthAncestor(node,k)\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Ruby",
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"langSlug": "ruby",
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"code": "class TreeAncestor\n\n=begin\n :type n: Integer\n :type parent: Integer[]\n=end\n def initialize(n, parent)\n \n end\n\n\n=begin\n :type node: Integer\n :type k: Integer\n :rtype: Integer\n=end\n def get_kth_ancestor(node, k)\n \n end\n\n\nend\n\n# Your TreeAncestor object will be instantiated and called as such:\n# obj = TreeAncestor.new(n, parent)\n# param_1 = obj.get_kth_ancestor(node, k)",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Swift",
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"langSlug": "swift",
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"code": "\nclass TreeAncestor {\n\n init(_ n: Int, _ parent: [Int]) {\n \n }\n \n func getKthAncestor(_ node: Int, _ k: Int) -> Int {\n \n }\n}\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * let obj = TreeAncestor(n, parent)\n * let ret_1: Int = obj.getKthAncestor(node, k)\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Go",
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"langSlug": "golang",
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"code": "type TreeAncestor struct {\n \n}\n\n\nfunc Constructor(n int, parent []int) TreeAncestor {\n \n}\n\n\nfunc (this *TreeAncestor) GetKthAncestor(node int, k int) int {\n \n}\n\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * obj := Constructor(n, parent);\n * param_1 := obj.GetKthAncestor(node,k);\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Scala",
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"langSlug": "scala",
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"code": "class TreeAncestor(_n: Int, _parent: Array[Int]) {\n\n def getKthAncestor(node: Int, k: Int): Int = {\n \n }\n\n}\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * var obj = new TreeAncestor(n, parent)\n * var param_1 = obj.getKthAncestor(node,k)\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Kotlin",
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"langSlug": "kotlin",
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"code": "class TreeAncestor(n: Int, parent: IntArray) {\n\n fun getKthAncestor(node: Int, k: Int): Int {\n \n }\n\n}\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * var obj = TreeAncestor(n, parent)\n * var param_1 = obj.getKthAncestor(node,k)\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Rust",
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"langSlug": "rust",
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"code": "struct TreeAncestor {\n\n}\n\n\n/** \n * `&self` means the method takes an immutable reference.\n * If you need a mutable reference, change it to `&mut self` instead.\n */\nimpl TreeAncestor {\n\n fn new(n: i32, parent: Vec<i32>) -> Self {\n \n }\n \n fn get_kth_ancestor(&self, node: i32, k: i32) -> i32 {\n \n }\n}\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * let obj = TreeAncestor::new(n, parent);\n * let ret_1: i32 = obj.get_kth_ancestor(node, k);\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "PHP",
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"langSlug": "php",
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"code": "class TreeAncestor {\n /**\n * @param Integer $n\n * @param Integer[] $parent\n */\n function __construct($n, $parent) {\n \n }\n \n /**\n * @param Integer $node\n * @param Integer $k\n * @return Integer\n */\n function getKthAncestor($node, $k) {\n \n }\n}\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * $obj = TreeAncestor($n, $parent);\n * $ret_1 = $obj->getKthAncestor($node, $k);\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "TypeScript",
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"langSlug": "typescript",
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"code": "class TreeAncestor {\n constructor(n: number, parent: number[]) {\n\n }\n\n getKthAncestor(node: number, k: number): number {\n\n }\n}\n\n/**\n * Your TreeAncestor object will be instantiated and called as such:\n * var obj = new TreeAncestor(n, parent)\n * var param_1 = obj.getKthAncestor(node,k)\n */",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Racket",
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"langSlug": "racket",
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"code": "(define tree-ancestor%\n (class object%\n (super-new)\n\n ; n : exact-integer?\n\n ; parent : (listof exact-integer?)\n (init-field\n n\n parent)\n \n ; get-kth-ancestor : exact-integer? exact-integer? -> exact-integer?\n (define/public (get-kth-ancestor node k)\n\n )))\n\n;; Your tree-ancestor% object will be instantiated and called as such:\n;; (define obj (new tree-ancestor% [n n] [parent parent]))\n;; (define param_1 (send obj get-kth-ancestor node k))",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Erlang",
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"langSlug": "erlang",
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"code": "-spec tree_ancestor_init_(N :: integer(), Parent :: [integer()]) -> any().\ntree_ancestor_init_(N, Parent) ->\n .\n\n-spec tree_ancestor_get_kth_ancestor(Node :: integer(), K :: integer()) -> integer().\ntree_ancestor_get_kth_ancestor(Node, K) ->\n .\n\n\n%% Your functions will be called as such:\n%% tree_ancestor_init_(N, Parent),\n%% Param_1 = tree_ancestor_get_kth_ancestor(Node, K),\n\n%% tree_ancestor_init_ will be called before every test case, in which you can do some necessary initializations.",
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"__typename": "CodeSnippetNode"
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},
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{
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"lang": "Elixir",
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"langSlug": "elixir",
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"code": "defmodule TreeAncestor do\n @spec init_(n :: integer, parent :: [integer]) :: any\n def init_(n, parent) do\n\n end\n\n @spec get_kth_ancestor(node :: integer, k :: integer) :: integer\n def get_kth_ancestor(node, k) do\n\n end\nend\n\n# Your functions will be called as such:\n# TreeAncestor.init_(n, parent)\n# param_1 = TreeAncestor.get_kth_ancestor(node, k)\n\n# TreeAncestor.init_ will be called before every test case, in which you can do some necessary initializations.",
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"__typename": "CodeSnippetNode"
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}
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"hints": [
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"The queries must be answered efficiently to avoid time limit exceeded verdict.",
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"Use sparse table (dynamic programming application) to travel the tree upwards in a fast way."
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],
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"solution": null,
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"status": null,
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"sampleTestCase": "[\"TreeAncestor\",\"getKthAncestor\",\"getKthAncestor\",\"getKthAncestor\"]\n[[7,[-1,0,0,1,1,2,2]],[3,1],[5,2],[6,3]]",
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"envInfo": "{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 17 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level two optimization (<code>-O2</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\"], \"java\": [\"Java\", \"<p><code> OpenJDK 17 </code>. Java 8 features such as lambda expressions and stream API can be used. </p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n<p>Includes <code>Pair</code> class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.</p>\"], \"python\": [\"Python\", \"<p><code>Python 2.7.12</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/2/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/2/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/2/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\\r\\n\\r\\n<p>Note that Python 2.7 <a href=\\\"https://www.python.org/dev/peps/pep-0373/\\\" target=\\\"_blank\\\">will not be maintained past 2020</a>. For the latest Python, please choose Python3 instead.</p>\"], \"c\": [\"C\", \"<p>Compiled with <code>gcc 8.2</code> using the gnu99 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one optimization (<code>-O1</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n\\r\\n<p>For hash table operations, you may use <a href=\\\"https://troydhanson.github.io/uthash/\\\" target=\\\"_blank\\\">uthash</a>. \\\"uthash.h\\\" is included by default. Below are some examples:</p>\\r\\n\\r\\n<p><b>1. Adding an item to a hash.</b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n int id; /* we'll use this field as the key */\\r\\n char name[10];\\r\\n UT_hash_handle hh; /* makes this structure hashable */\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry *s) {\\r\\n HASH_ADD_INT(users, id, s);\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>2. Looking up an item in a hash:</b>\\r\\n<pre>\\r\\nstruct hash_entry *find_user(int user_id) {\\r\\n struct hash_entry *s;\\r\\n HASH_FIND_INT(users, &user_id, s);\\r\\n return s;\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>3. Deleting an item in a hash:</b>\\r\\n<pre>\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n HASH_DEL(users, user); \\r\\n}\\r\\n</pre>\\r\\n</p>\"], \"csharp\": [\"C#\", \"<p><a href=\\\"https://docs.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-9\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></p>\\r\\n\\r\\n<p>Your code is compiled with debug flag enabled (<code>/debug</code>).</p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES6 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\\r\\n\\r\\n<p>For Priority Queue / Queue data structures, you may use <a href=\\\"https://github.com/datastructures-js/priority-queue\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and <a href=\\\"https://github.com/datastructures-js/queue\\\" target=\\\"_blank\\\">datastructures-js/queue</a>.</p>\"], \"ruby\": [\"Ruby\", \"<p><code>Ruby 3.1</code></p>\\r\\n\\r\\n<p>Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms</p>\"], \"swift\": [\"Swift\", \"<p><code>Swift 5.5.2</code>.</p>\"], \"golang\": [\"Go\", \"<p><code>Go 1.17.6</code>.</p>\\r\\n\\r\\n<p>Support <a href=\\\"https://godoc.org/github.com/emirpasic/gods\\\" target=\\\"_blank\\\">https://godoc.org/github.com/emirpasic/gods</a> library.</p>\"], \"python3\": [\"Python3\", \"<p><code>Python 3.10</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/3/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/3/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/3/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\"], \"scala\": [\"Scala\", \"<p><code>Scala 2.13.7</code>.</p>\"], \"kotlin\": [\"Kotlin\", \"<p><code>Kotlin 1.3.10</code>.</p>\"], \"rust\": [\"Rust\", \"<p><code>Rust 1.58.1</code></p>\\r\\n\\r\\n<p>Supports <a href=\\\"https://crates.io/crates/rand\\\" target=\\\"_blank\\\">rand </a> v0.6\\u00a0from crates.io</p>\"], \"php\": [\"PHP\", \"<p><code>PHP 8.1</code>.</p>\\r\\n<p>With bcmath module</p>\"], \"typescript\": [\"Typescript\", \"<p><code>TypeScript 4.5.4, Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES2020 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\"], \"racket\": [\"Racket\", \"<p>Run with <code>Racket 8.3</code>.</p>\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 24.2\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.0 with Erlang/OTP 24.2\"]}",
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