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"data": {
"question": {
"questionId": "2217",
"questionFrontendId": "2096",
"categoryTitle": "Algorithms",
"boundTopicId": 1133481,
"title": "Step-By-Step Directions From a Binary Tree Node to Another",
"titleSlug": "step-by-step-directions-from-a-binary-tree-node-to-another",
"content": "<p>You are given the <code>root</code> of a <strong>binary tree</strong> with <code>n</code> nodes. Each node is uniquely assigned a value from <code>1</code> to <code>n</code>. You are also given an integer <code>startValue</code> representing the value of the start node <code>s</code>, and a different integer <code>destValue</code> representing the value of the destination node <code>t</code>.</p>\n\n<p>Find the <strong>shortest path</strong> starting from node <code>s</code> and ending at node <code>t</code>. Generate step-by-step directions of such path as a string consisting of only the <strong>uppercase</strong> letters <code>&#39;L&#39;</code>, <code>&#39;R&#39;</code>, and <code>&#39;U&#39;</code>. Each letter indicates a specific direction:</p>\n\n<ul>\n\t<li><code>&#39;L&#39;</code> means to go from a node to its <strong>left child</strong> node.</li>\n\t<li><code>&#39;R&#39;</code> means to go from a node to its <strong>right child</strong> node.</li>\n\t<li><code>&#39;U&#39;</code> means to go from a node to its <strong>parent</strong> node.</li>\n</ul>\n\n<p>Return <em>the step-by-step directions of the <strong>shortest path</strong> from node </em><code>s</code><em> to node</em> <code>t</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/15/eg1.png\" style=\"width: 214px; height: 163px;\" />\n<pre>\n<strong>Input:</strong> root = [5,1,2,3,null,6,4], startValue = 3, destValue = 6\n<strong>Output:</strong> &quot;UURL&quot;\n<strong>Explanation:</strong> The shortest path is: 3 &rarr; 1 &rarr; 5 &rarr; 2 &rarr; 6.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/15/eg2.png\" style=\"width: 74px; height: 102px;\" />\n<pre>\n<strong>Input:</strong> root = [2,1], startValue = 2, destValue = 1\n<strong>Output:</strong> &quot;L&quot;\n<strong>Explanation:</strong> The shortest path is: 2 &rarr; 1.\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 is <code>n</code>.</li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= Node.val &lt;= n</code></li>\n\t<li>All the values in the tree are <strong>unique</strong>.</li>\n\t<li><code>1 &lt;= startValue, destValue &lt;= n</code></li>\n\t<li><code>startValue != destValue</code></li>\n</ul>\n",
"translatedTitle": "从二叉树一个节点到另一个节点每一步的方向",
"translatedContent": "<p>给你一棵 <strong>二叉树</strong>&nbsp;的根节点&nbsp;<code>root</code>&nbsp;,这棵二叉树总共有&nbsp;<code>n</code>&nbsp;个节点。每个节点的值为&nbsp;<code>1</code>&nbsp;到&nbsp;<code>n</code>&nbsp;中的一个整数,且互不相同。给你一个整数&nbsp;<code>startValue</code>&nbsp;,表示起点节点 <code>s</code>&nbsp;的值,和另一个不同的整数&nbsp;<code>destValue</code>&nbsp;,表示终点节点&nbsp;<code>t</code>&nbsp;的值。</p>\n\n<p>请找到从节点&nbsp;<code>s</code>&nbsp;到节点 <code>t</code>&nbsp;的 <strong>最短路径</strong>&nbsp;,并以字符串的形式返回每一步的方向。每一步用 <strong>大写</strong>&nbsp;字母&nbsp;<code>'L'</code>&nbsp;<code>'R'</code>&nbsp;和&nbsp;<code>'U'</code>&nbsp;分别表示一种方向:</p>\n\n<ul>\n\t<li><code>'L'</code>&nbsp;表示从一个节点前往它的 <strong>左孩子</strong>&nbsp;节点。</li>\n\t<li><code>'R'</code>&nbsp;表示从一个节点前往它的 <strong>右孩子</strong>&nbsp;节点。</li>\n\t<li><code>'U'</code>&nbsp;表示从一个节点前往它的 <strong>父</strong>&nbsp;节点。</li>\n</ul>\n\n<p>请你返回从 <code>s</code>&nbsp;到 <code>t</code>&nbsp;<strong>最短路径</strong>&nbsp;每一步的方向。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/15/eg1.png\" style=\"width: 214px; height: 163px;\"></p>\n\n<pre><b>输入:</b>root = [5,1,2,3,null,6,4], startValue = 3, destValue = 6\n<b>输出:</b>\"UURL\"\n<b>解释:</b>最短路径为3 → 1 → 5 → 2 → 6 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/15/eg2.png\" style=\"width: 74px; height: 102px;\"></p>\n\n<pre><b>输入:</b>root = [2,1], startValue = 2, destValue = 1\n<b>输出:</b>\"L\"\n<b>解释:</b>最短路径为2 → 1 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li>树中节点数目为&nbsp;<code>n</code>&nbsp;。</li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= Node.val &lt;= n</code></li>\n\t<li>树中所有节点的值 <strong>互不相同</strong>&nbsp;。</li>\n\t<li><code>1 &lt;= startValue, destValue &lt;= n</code></li>\n\t<li><code>startValue != destValue</code></li>\n</ul>\n",
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"The shortest path between any two nodes in a tree must pass through their Lowest Common Ancestor (LCA). The path will travel upwards from node s to the LCA and then downwards from the LCA to node t.",
"Find the path strings from root → s, and root → t. Can you use these two strings to prepare the final answer?",
"Remove the longest common prefix of the two path strings to get the path LCA → s, and LCA → t. Each step in the path of LCA → s should be reversed as 'U'."
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