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https://gitee.com/coder-xiaomo/leetcode-problemset
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187 lines
25 KiB
JSON
187 lines
25 KiB
JSON
{
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"question": {
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"questionId": "3509",
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"questionFrontendId": "3319",
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"boundTopicId": null,
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"title": "K-th Largest Perfect Subtree Size in Binary Tree",
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"titleSlug": "k-th-largest-perfect-subtree-size-in-binary-tree",
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"content": "<p>You are given the <code>root</code> of a <strong>binary tree</strong> and an integer <code>k</code>.</p>\n\n<p>Return an integer denoting the size of the <code>k<sup>th</sup></code> <strong>largest<em> </em>perfect binary</strong><em> </em><span data-keyword=\"subtree\">subtree</span>, or <code>-1</code> if it doesn't exist.</p>\n\n<p>A <strong>perfect binary tree</strong> is a tree where all leaves are on the same level, and every parent has two children.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">root = [5,3,6,5,2,5,7,1,8,null,null,6,8], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/10/14/tmpresl95rp-1.png\" style=\"width: 400px; height: 173px;\" /></p>\n\n<p>The roots of the perfect binary subtrees are highlighted in black. Their sizes, in non-increasing order are <code>[3, 3, 1, 1, 1, 1, 1, 1]</code>.<br />\nThe <code>2<sup>nd</sup></code> largest size is 3.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">root = [1,2,3,4,5,6,7], k = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">7</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/10/14/tmp_s508x9e-1.png\" style=\"width: 300px; height: 189px;\" /></p>\n\n<p>The sizes of the perfect binary subtrees in non-increasing order are <code>[7, 3, 3, 1, 1, 1, 1]</code>. The size of the largest perfect binary subtree is 7.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">root = [1,2,3,null,4], k = 3</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">-1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/10/14/tmp74xnmpj4-1.png\" style=\"width: 250px; height: 225px;\" /></p>\n\n<p>The sizes of the perfect binary subtrees in non-increasing order are <code>[1, 1]</code>. There are fewer than 3 perfect binary subtrees.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li>The number of nodes in the tree is in the range <code>[1, 2000]</code>.</li>\n\t<li><code>1 <= Node.val <= 2000</code></li>\n\t<li><code>1 <= k <= 1024</code></li>\n</ul>\n",
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"difficulty": "Medium",
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"similarQuestions": "[{\"title\": \"Balanced Binary Tree\", \"titleSlug\": \"balanced-binary-tree\", \"difficulty\": \"Easy\", \"translatedTitle\": null}]",
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"exampleTestcases": "[5,3,6,5,2,5,7,1,8,null,null,6,8]\n2\n[1,2,3,4,5,6,7]\n1\n[1,2,3,null,4]\n3",
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"categoryTitle": "Algorithms",
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"name": "Tree",
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"name": "Depth-First Search",
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"name": "Binary Tree",
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"lang": "C++",
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"code": "/**\n * Definition for a binary tree node.\n * struct TreeNode {\n * int val;\n * TreeNode *left;\n * TreeNode *right;\n * TreeNode() : val(0), left(nullptr), right(nullptr) {}\n * TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}\n * TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}\n * };\n */\nclass Solution {\npublic:\n int kthLargestPerfectSubtree(TreeNode* root, int k) {\n \n }\n};",
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"code": "/**\n * Definition for a binary tree node.\n * public class TreeNode {\n * int val;\n * TreeNode left;\n * TreeNode right;\n * TreeNode() {}\n * TreeNode(int val) { this.val = val; }\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 int kthLargestPerfectSubtree(TreeNode root, int k) {\n \n }\n}",
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"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 kthLargestPerfectSubtree(self, root, k):\n \"\"\"\n :type root: Optional[TreeNode]\n :type k: int\n :rtype: int\n \"\"\"\n ",
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"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 kthLargestPerfectSubtree(self, root: Optional[TreeNode], k: int) -> int:\n ",
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"lang": "C",
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"code": "/**\n * Definition for a binary tree node.\n * struct TreeNode {\n * int val;\n * struct TreeNode *left;\n * struct TreeNode *right;\n * };\n */\nint kthLargestPerfectSubtree(struct TreeNode* root, int k) {\n \n}",
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"lang": "C#",
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"langSlug": "csharp",
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"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 int KthLargestPerfectSubtree(TreeNode root, int k) {\n \n }\n}",
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"lang": "JavaScript",
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"langSlug": "javascript",
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"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} k\n * @return {number}\n */\nvar kthLargestPerfectSubtree = function(root, k) {\n \n};",
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"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 kthLargestPerfectSubtree(root: TreeNode | null, k: number): number {\n \n};",
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"lang": "PHP",
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"langSlug": "php",
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"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 $k\n * @return Integer\n */\n function kthLargestPerfectSubtree($root, $k) {\n \n }\n}",
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"lang": "Swift",
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"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 kthLargestPerfectSubtree(_ root: TreeNode?, _ k: Int) -> Int {\n \n }\n}",
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"lang": "Kotlin",
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"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 kthLargestPerfectSubtree(root: TreeNode?, k: Int): Int {\n \n }\n}",
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"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 int kthLargestPerfectSubtree(TreeNode? root, int k) {\n \n }\n}",
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"code": "/**\n * Definition for a binary tree node.\n * type TreeNode struct {\n * Val int\n * Left *TreeNode\n * Right *TreeNode\n * }\n */\nfunc kthLargestPerfectSubtree(root *TreeNode, k int) int {\n \n}",
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"lang": "Ruby",
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"langSlug": "ruby",
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"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} k\n# @return {Integer}\ndef kth_largest_perfect_subtree(root, k)\n \nend",
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"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 kthLargestPerfectSubtree(root: TreeNode, k: Int): Int = {\n \n }\n}",
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"__typename": "CodeSnippetNode"
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"lang": "Rust",
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"langSlug": "rust",
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"code": "// Definition for a binary tree node.\n// #[derive(Debug, PartialEq, Eq)]\n// pub struct TreeNode {\n// pub val: i32,\n// pub left: Option<Rc<RefCell<TreeNode>>>,\n// pub right: Option<Rc<RefCell<TreeNode>>>,\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 kth_largest_perfect_subtree(root: Option<Rc<RefCell<TreeNode>>>, k: i32) -> i32 {\n \n }\n}",
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"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 (kth-largest-perfect-subtree root k)\n (-> (or/c tree-node? #f) exact-integer? exact-integer?)\n )",
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"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 kth_largest_perfect_subtree(Root :: #tree_node{} | null, K :: integer()) -> integer().\nkth_largest_perfect_subtree(Root, K) ->\n .",
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"lang": "Elixir",
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"langSlug": "elixir",
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"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 kth_largest_perfect_subtree(root :: TreeNode.t | nil, k :: integer) :: integer\n def kth_largest_perfect_subtree(root, k) do\n \n end\nend",
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"For a subtree to form a perfect binary subtree, its children should also be perfect binary subtrees.",
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"Check recursively that both the node and its children are perfect binary subtrees.",
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"Gather all the perfect binary subtrees and return the kth largest."
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],
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"sampleTestCase": "[5,3,6,5,2,5,7,1,8,null,null,6,8]\n2",
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Using compile arguments: <code>--enable-preview --release 21</code></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 13</code> using the gnu11 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one 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>\\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://learn.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-12\\\" target=\\\"_blank\\\">C# 12</a> with .NET 8 runtime</p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 20.10.0</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 5.4.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/blob/v5/README.md\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.3 version of <a href=\\\"https://github.com/datastructures-js/queue/tree/v4.2.3\\\" target=\\\"_blank\\\">datastructures-js/queue</a> and 1.0.4 version of <a href=\\\"https://github.com/datastructures-js/deque/tree/v1.0.4\\\" target=\\\"_blank\\\">datastructures-js/deque</a>.</p>\"], \"ruby\": [\"Ruby\", \"<p><code>Ruby 3.2</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 5.10</code>.</p>\\r\\n\\r\\n<p>You may use <a href=\\\"https://github.com/apple/swift-algorithms/tree/1.2.0\\\" target=\\\"_blank\\\">swift-algorithms 1.2.0</a> and <a href=\\\"https://github.com/apple/swift-collections/tree/1.1.0\\\" target=\\\"_blank\\\">swift-collections 1.1.0</a>.</p>\"], \"golang\": [\"Go\", \"<p><code>Go 1.23</code></p>\\r\\n<p>Support <a href=\\\"https://pkg.go.dev/github.com/emirpasic/gods@v1.18.1\\\" target=\\\"_blank\\\">https://pkg.go.dev/github.com/emirpasic/gods@v1.18.1</a> and <a href=\\\"https://pkg.go.dev/github.com/emirpasic/gods/v2@v2.0.0-alpha\\\" target=\\\"_blank\\\">https://pkg.go.dev/github.com/emirpasic/gods/v2@v2.0.0-alpha</a> library.</p>\"], \"python3\": [\"Python3\", \"<p><code>Python 3.11</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 3.3.1</code>.</p>\"], \"kotlin\": [\"Kotlin\", \"<p><code>Kotlin 1.9.0</code>.</p>\\r\\n\\r\\n<p>We are using an experimental compiler provided by JetBrains.</p>\"], \"rust\": [\"Rust\", \"<p><code>Rust 1.79.0</code>. Your code will be compiled with <code>opt-level</code> 2.</p>\\r\\n\\r\\n<p>Supports <a href=\\\"https://crates.io/crates/rand\\\" target=\\\"_blank\\\">rand v0.8</a> and <a href=\\\"https://crates.io/crates/regex\\\" target=\\\"_blank\\\">regex\\u00a0v1</a> from crates.io</p>\"], \"php\": [\"PHP\", \"<p><code>PHP 8.2</code>.</p>\\r\\n<p>With bcmath module</p>\"], \"typescript\": [\"Typescript\", \"<p><code>TypeScript 5.1.6, Node.js 20.10.0</code>.</p>\\r\\n\\r\\n<p>Compile Options: <code>--alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2022</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 ES2022 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 5.4.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/blob/v5/README.md\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.3 version of <a href=\\\"https://github.com/datastructures-js/queue/tree/v4.2.3\\\" target=\\\"_blank\\\">datastructures-js/queue</a> and 1.0.4 version of <a href=\\\"https://github.com/datastructures-js/deque/tree/v1.0.4\\\" target=\\\"_blank\\\">datastructures-js/deque</a>.</p>\"], \"racket\": [\"Racket\", \"<p><a href=\\\"https://docs.racket-lang.org/guide/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS</a> v8.11</p>\\r\\n\\r\\n<p>Using <code>#lang racket</code></p>\\r\\n\\r\\n<p>Required <code>data/gvector data/queue data/order data/heap</code> automatically for your convenience</p>\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 26\"], \"elixir\": [\"Elixir\", \"Elixir 1.16 with Erlang/OTP 26\"], \"dart\": [\"Dart\", \"<p>Dart 3.2. You may use package <a href=\\\"https://pub.dev/packages/collection/versions/1.18.0\\\" target=\\\"_blank\\\">collection</a></p>\\r\\n\\r\\n<p>Your code will be run directly without compiling</p>\"]}",
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