{
    "data": {
        "question": {
            "questionId": "1296",
            "questionFrontendId": "1483",
            "boundTopicId": null,
            "title": "Kth Ancestor of a Tree Node",
            "titleSlug": "kth-ancestor-of-a-tree-node",
            "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>&nbsp;</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[&quot;TreeAncestor&quot;, &quot;getKthAncestor&quot;, &quot;getKthAncestor&quot;, &quot;getKthAncestor&quot;]\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>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= k &lt;= n &lt;= 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 &lt;= parent[i] &lt; n</code> for all <code>0 &lt; i &lt; n</code></li>\n\t<li><code>0 &lt;= node &lt; 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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            "difficulty": "Hard",
            "likes": 943,
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            "exampleTestcases": "[\"TreeAncestor\",\"getKthAncestor\",\"getKthAncestor\",\"getKthAncestor\"]\n[[7,[-1,0,0,1,1,2,2]],[3,1],[5,2],[6,3]]",
            "categoryTitle": "Algorithms",
            "contributors": [],
            "topicTags": [
                {
                    "name": "Binary Search",
                    "slug": "binary-search",
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                {
                    "lang": "C++",
                    "langSlug": "cpp",
                    "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 */",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Java",
                    "langSlug": "java",
                    "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 */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Python",
                    "langSlug": "python",
                    "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)",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Python3",
                    "langSlug": "python3",
                    "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)",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "C",
                    "langSlug": "c",
                    "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*/",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "C#",
                    "langSlug": "csharp",
                    "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 */",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "JavaScript",
                    "langSlug": "javascript",
                    "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 */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Ruby",
                    "langSlug": "ruby",
                    "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)",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Swift",
                    "langSlug": "swift",
                    "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 */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Go",
                    "langSlug": "golang",
                    "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 */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Scala",
                    "langSlug": "scala",
                    "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 */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Kotlin",
                    "langSlug": "kotlin",
                    "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 */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Rust",
                    "langSlug": "rust",
                    "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 */",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "PHP",
                    "langSlug": "php",
                    "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 */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "TypeScript",
                    "langSlug": "typescript",
                    "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 */",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Racket",
                    "langSlug": "racket",
                    "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))",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Erlang",
                    "langSlug": "erlang",
                    "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.",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Elixir",
                    "langSlug": "elixir",
                    "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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            "hints": [
                "The queries must be answered efficiently to avoid time limit exceeded verdict.",
                "Use sparse table (dynamic programming application) to travel the tree upwards in a fast way."
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            "solution": 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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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. 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