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leetcode-problemset/leetcode-cn/originData/smallest-subtree-with-all-the-deepest-nodes.json
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{
"data": {
"question": {
"questionId": "896",
"questionFrontendId": "865",
"categoryTitle": "Algorithms",
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"title": "Smallest Subtree with all the Deepest Nodes",
"titleSlug": "smallest-subtree-with-all-the-deepest-nodes",
"content": "<p>Given the <code>root</code> of a binary tree, the depth of each node is <strong>the shortest distance to the root</strong>.</p>\n\n<p>Return <em>the smallest subtree</em> such that it contains <strong>all the deepest nodes</strong> in the original tree.</p>\n\n<p>A node is called <strong>the deepest</strong> if it has the largest depth possible among any node in the entire tree.</p>\n\n<p>The <strong>subtree</strong> of a node is a tree consisting of that node, plus the set of all descendants of that node.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://s3-lc-upload.s3.amazonaws.com/uploads/2018/07/01/sketch1.png\" style=\"width: 600px; height: 510px;\" />\n<pre>\n<strong>Input:</strong> root = [3,5,1,6,2,0,8,null,null,7,4]\n<strong>Output:</strong> [2,7,4]\n<strong>Explanation:</strong> We return the node with value 2, colored in yellow in the diagram.\nThe nodes coloured in blue are the deepest nodes of the tree.\nNotice that nodes 5, 3 and 2 contain the deepest nodes in the tree but node 2 is the smallest subtree among them, so we return it.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> root = [1]\n<strong>Output:</strong> [1]\n<strong>Explanation:</strong> The root is the deepest node in the tree.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> root = [0,1,3,null,2]\n<strong>Output:</strong> [2]\n<strong>Explanation:</strong> The deepest node in the tree is 2, the valid subtrees are the subtrees of nodes 2, 1 and 0 but the subtree of node 2 is the smallest.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li>The number of nodes in the tree will be in the range <code>[1, 500]</code>.</li>\n\t<li><code>0 &lt;= Node.val &lt;= 500</code></li>\n\t<li>The values of the nodes in the tree are <strong>unique</strong>.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Note:</strong> This question is the same as 1123: <a href=\"https://leetcode.com/problems/lowest-common-ancestor-of-deepest-leaves/\" target=\"_blank\">https://leetcode.com/problems/lowest-common-ancestor-of-deepest-leaves/</a></p>\n",
"translatedTitle": "具有所有最深节点的最小子树",
"translatedContent": "<p>给定一个根为&nbsp;<code>root</code>&nbsp;的二叉树,每个节点的深度是 <strong>该节点到根的最短距离</strong> 。</p>\n\n<p>返回包含原始树中所有 <strong>最深节点</strong> 的 <em>最小子树</em> 。</p>\n\n<p>如果一个节点在 <strong>整个树 </strong>的任意节点之间具有最大的深度,则该节点是 <strong>最深的</strong> 。</p>\n\n<p>一个节点的 <strong>子树</strong> 是该节点加上它的所有后代的集合。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://s3-lc-upload.s3.amazonaws.com/uploads/2018/07/01/sketch1.png\" style=\"width: 300px;\" /></p>\n\n<pre>\n<strong>输入:</strong>root = [3,5,1,6,2,0,8,null,null,7,4]\n<strong>输出:</strong>[2,7,4]\n<strong>解释:</strong>\n我们返回值为 2 的节点,在图中用黄色标记。\n在图中用蓝色标记的是树的最深的节点。\n注意节点 5、3 和 2 包含树中最深的节点,但节点 2 的子树最小,因此我们返回它。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>root = [1]\n<strong>输出:</strong>[1]\n<strong>解释:</strong>根节点是树中最深的节点。</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>root = [0,1,3,null,2]\n<strong>输出:</strong>[2]\n<strong>解释:</strong>树中最深的节点为 2 ,有效子树为节点 2、1 和 0 的子树,但节点 2 的子树最小。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li>树中节点的数量在<meta charset=\"UTF-8\" />&nbsp;<code>[1, 500]</code>&nbsp;范围内。</li>\n\t<li><code>0 &lt;= Node.val &lt;= 500</code></li>\n\t<li>每个节点的值都是 <strong>独一无二</strong> 的。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>注意:</strong>本题与力扣 1123 重复:<a href=\"https://leetcode-cn.com/problems/lowest-common-ancestor-of-deepest-leaves/\" target=\"_blank\">https://leetcode-cn.com/problems/lowest-common-ancestor-of-deepest-leaves</a></p>\n",
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