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"question": {
"questionId": "100229",
"questionFrontendId": "面试题 04.10",
"categoryTitle": "LCCI",
"boundTopicId": 58158,
"title": "Check SubTree LCCI",
"titleSlug": "check-subtree-lcci",
"content": "<p>T1&nbsp;and T2 are two very large binary trees. Create an algorithm to determine if T2 is a subtree of T1.</p>\r\n\r\n<p>A tree T2 is a subtree of T1&nbsp;if there exists a node n in T1&nbsp;such that the subtree of n is identical to T2. That is, if you cut off the tree at node n, the two trees would be identical.</p>\r\n\r\n<p><strong>Note:</strong> This problem is slightly different from the original problem.</p>\r\n\r\n<p><strong>Example1:</strong></p>\r\n\r\n<pre>\r\n<strong> Input</strong>: t1 = [1, 2, 3], t2 = [2]\r\n<strong> Output</strong>: true\r\n</pre>\r\n\r\n<p><strong>Example2:</strong></p>\r\n\r\n<pre>\r\n<strong> Input</strong>: t1 = [1, null, 2, 4], t2 = [3, 2]\r\n<strong> Output</strong>: false\r\n</pre>\r\n\r\n<p><strong>Note: </strong></p>\r\n\r\n<ol>\r\n\t<li>The node numbers of both tree are in [0, 20000].</li>\r\n</ol>\r\n",
"translatedTitle": "检查子树",
"translatedContent": "<p>检查子树。你有两棵非常大的二叉树T1有几万个节点T2有几万个节点。设计一个算法判断 T2 是否为 T1 的子树。</p>\n\n<p>如果 T1 有这么一个节点 n其子树与 T2 一模一样,则 T2 为 T1 的子树,也就是说,从节点 n 处把树砍断,得到的树与 T2 完全相同。</p>\n\n<p><strong>注意:</strong>此题相对书上原题略有改动。</p>\n\n<p><strong>示例1:</strong></p>\n\n<pre>\n<strong> 输入</strong>t1 = [1, 2, 3], t2 = [2]\n<strong> 输出</strong>true\n</pre>\n\n<p><strong>示例2:</strong></p>\n\n<pre>\n<strong> 输入</strong>t1 = [1, null, 2, 4], t2 = [3, 2]\n<strong> 输出</strong>false\n</pre>\n\n<p><strong>提示:</strong></p>\n\n<ol>\n\t<li>树的节点数目范围为[0, 20000]。</li>\n</ol>\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(int x) { val = x; }\n * }\n */\nclass Solution {\n public boolean checkSubTree(TreeNode t1, TreeNode t2) {\n\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 checkSubTree(t1: TreeNode?, t2: TreeNode?): Boolean {\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 bool checkSubTree(TreeNode? t1, TreeNode? t2) {\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 checkSubTree(t1 *TreeNode, t2 *TreeNode) bool {\n\n}",
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"code": "# Definition for a binary tree node.\n# class TreeNode\n# attr_accessor :val, :left, :right\n# def initialize(val)\n# @val = val\n# @left, @right = nil, nil\n# end\n# end\n\n# @param {TreeNode} t1\n# @param {TreeNode} t2\n# @return {Boolean}\ndef check_sub_tree(t1, t2)\n\nend",
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"code": "/**\n * Definition for a binary tree node.\n * class TreeNode(var _value: Int) {\n * var value: Int = _value\n * var left: TreeNode = null\n * var right: TreeNode = null\n * }\n */\nobject Solution {\n def checkSubTree(t1: TreeNode, t2: 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 check_sub_tree(t1: Option<Rc<RefCell<TreeNode>>>, t2: Option<Rc<RefCell<TreeNode>>>) -> bool {\n\n }\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 check_sub_tree(T1 :: #tree_node{} | null, T2 :: #tree_node{} | null) -> boolean().\ncheck_sub_tree(T1, T2) ->\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 check_sub_tree(t1 :: TreeNode.t | nil, t2 :: TreeNode.t | nil) :: boolean\n def check_sub_tree(t1, t2) do\n\n end\nend",
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"hints": [
"如果T2是T1的子树它的中序遍历将如何与T1的比较它的前序和后序遍历如何",
"中序遍历无法告诉我们更多。毕竟,每个具有相同值的二叉搜索树(不管结构如何)将具有相同的中序遍历。这也就是中序遍历的含义:内容是有序的(如果它在二叉搜索树这种特定情况下不起作用,那么对于一般二叉树来说它肯定不起作用)。然而,前序遍历更具指示性。",
"你可能得出结论如果T2.preorderTraversal()是T1.preorderTraversal()的子字符串则T2是T1的子树。这几乎是事实除非树可能有重复的值。假设T1和T2具有所有重复值但结构不同。即使T2不是T1的子树前序遍历看起来也是一样的。你如何处理这样的情况",
"尽管问题似乎源于重复的值,但不止如此。问题是,前序遍历是相同的,只是因为我们跳过了空节点(因为它们是空的)。考虑在访问到空节点时往前序遍历的字符串中插入一个占位符。把空节点记录为一个“真正的”节点,你就可以区分出不同的结构了。",
"或者用递归法处理这个问题。给定一个特殊节点T1可以检查它的子树是否匹配T2吗"
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href=\\\"https:\\/\\/github.com\\/emirpasic\\/gods\\/tree\\/v1.18.1\\\" target=\\\"_blank\\\">https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods@v1.18.1<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.10<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<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>\\u3002 \\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap 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