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{
"data": {
"question": {
"questionId": "100177",
"questionFrontendId": "面试题 04.05",
"categoryTitle": "LCCI",
"boundTopicId": 46212,
"title": "Legal Binary Search Tree LCCI",
"titleSlug": "legal-binary-search-tree-lcci",
"content": "<p>Implement a function to check if a binary tree is a binary search tree.</p>\r\n\r\n<p><strong>Example&nbsp;1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong>\r\n 2\r\n / \\\r\n 1 3\r\n<strong>Output:</strong> true\r\n</pre>\r\n\r\n<p><strong>Example&nbsp;2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong>\r\n 5\r\n / \\\r\n 1 4\r\n&nbsp; / \\\r\n&nbsp; 3 6\r\n<strong>Output:</strong> false\r\n<strong>Explanation:</strong> Input: [5,1,4,null,null,3,6].\r\n&nbsp; the value of root node is 5, but its right child has value 4.</pre>\r\n",
"translatedTitle": "合法二叉搜索树",
"translatedContent": "<p>实现一个函数,检查一棵二叉树是否为二叉搜索树。</p><strong>示例 1:</strong><pre><strong>输入:</strong><br> 2<br> / &#92<br> 1 3<br><strong>输出:</strong> true<br></pre><strong>示例 2:</strong><pre><strong>输入:</strong><br> 5<br> / &#92<br> 1 4<br>  / &#92<br>  3 6<br><strong>输出:</strong> false<br><strong>解释:</strong> 输入为: [5,1,4,null,null,3,6]。<br>  根节点的值为 5 ,但是其右子节点值为 4 。</pre>",
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"difficulty": "Medium",
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{
"name": "Tree",
"slug": "tree",
"translatedName": "树",
"__typename": "TopicTagNode"
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{
"name": "Depth-First Search",
"slug": "depth-first-search",
"translatedName": "深度优先搜索",
"__typename": "TopicTagNode"
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{
"name": "Binary Search Tree",
"slug": "binary-search-tree",
"translatedName": "二叉搜索树",
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"name": "Binary Tree",
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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(int x) { val = x; }\n * }\n */\nclass Solution {\n public boolean isValidBST(TreeNode root) {\n\n }\n}",
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"code": "# Definition for a binary tree node.\n# class TreeNode(object):\n# def __init__(self, x):\n# self.val = x\n# self.left = None\n# self.right = None\n\nclass Solution(object):\n def isValidBST(self, root):\n \"\"\"\n :type root: TreeNode\n :rtype: bool\n \"\"\"",
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"code": "/**\n * Definition for a binary tree node.\n * function TreeNode(val) {\n * this.val = val;\n * this.left = this.right = null;\n * }\n */\n/**\n * @param {TreeNode} root\n * @return {boolean}\n */\nvar isValidBST = function(root) {\n\n};",
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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 isValidBST(root: TreeNode?): Boolean {\n\n }\n}",
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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 is_valid_bst(root: Option<Rc<RefCell<TreeNode>>>) -> bool {\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 (is-valid-bst root)\n (-> (or/c tree-node? #f) boolean?)\n\n )",
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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 is_valid_bst(root :: TreeNode.t | nil) :: boolean\n def is_valid_bst(root) do\n\n end\nend",
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"hints": [
"如果使用前序遍历来遍历树,元素的顺序是正确的,这是否表明树实际上是有序的?有重复元素会发生什么?如果允许重复元素,它们必须位于特定的一边(通常是左边)。",
"作为一个二叉搜索树并不是说每个节点都满足left.value <= current.value < right就够了。左边的每个节点必须小于当前节点该节点还必须小于右边的所有节点。",
"如果左边的每个节点必须小于或等于当前节点,那么这就等于左边最大的节点必须小于或等于当前节点。",
"相比于根据leftTree.max和rightTree.min来验证当前节点的值我们可以翻转逻辑吗验证左子树的节点以确保其小于current.value。",
"把checkBST函数当作一个递归函数保证每个节点在允许范围内(最小, 最大)。首先这个范围是无限的。当我们遍历左边最小的是负无穷大最大的是root.value。你能实现这个递归函数并且随着遍历而适当调整这些范围吗"
],
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