leetcode-problemset/leetcode-cn/originData/minimum-time-to-collect-all-apples-in-a-tree.json

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            "questionId": "1554",
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            "categoryTitle": "Algorithms",
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            "title": "Minimum Time to Collect All Apples in a Tree",
            "titleSlug": "minimum-time-to-collect-all-apples-in-a-tree",
            "content": "<p>Given an undirected tree consisting of <code>n</code> vertices numbered from <code>0</code> to <code>n-1</code>, which has some apples in their vertices. You spend 1 second to walk over one edge of the tree. <em>Return the minimum time in seconds you have to spend to collect all apples in the tree, starting at <strong>vertex 0</strong> and coming back to this vertex.</em></p>\n\n<p>The edges of the undirected tree are given in the array <code>edges</code>, where <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> means that exists an edge connecting the vertices <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code>. Additionally, there is a boolean array <code>hasApple</code>, where <code>hasApple[i] = true</code> means that vertex <code>i</code> has an apple; otherwise, it does not have any apple.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/04/23/min_time_collect_apple_1.png\" style=\"width: 300px; height: 212px;\" />\n<pre>\n<strong>Input:</strong> n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], hasApple = [false,false,true,false,true,true,false]\n<strong>Output:</strong> 8 \n<strong>Explanation:</strong> The figure above represents the given tree where red vertices have an apple. One optimal path to collect all apples is shown by the green arrows.  \n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/04/23/min_time_collect_apple_2.png\" style=\"width: 300px; height: 212px;\" />\n<pre>\n<strong>Input:</strong> n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], hasApple = [false,false,true,false,false,true,false]\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The figure above represents the given tree where red vertices have an apple. One optimal path to collect all apples is shown by the green arrows.  \n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], hasApple = [false,false,false,false,false,false,false]\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>edges.length == n - 1</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub> &lt; b<sub>i</sub> &lt;= n - 1</code></li>\n\t<li><code>hasApple.length == n</code></li>\n</ul>\n",
            "translatedTitle": "收集树上所有苹果的最少时间",
            "translatedContent": "<p>给你一棵有&nbsp;<code>n</code>&nbsp;个节点的无向树，节点编号为&nbsp;<code>0</code>&nbsp;到&nbsp;<code>n-1</code>&nbsp;，它们中有一些节点有苹果。通过树上的一条边，需要花费 1 秒钟。你从&nbsp;<strong>节点 0&nbsp;</strong>出发，请你返回最少需要多少秒，可以收集到所有苹果，并回到节点 0 。</p>\n\n<p>无向树的边由&nbsp;<code>edges</code>&nbsp;给出，其中&nbsp;<code>edges[i] = [from<sub>i</sub>, to<sub>i</sub>]</code>&nbsp;，表示有一条边连接&nbsp;<code>from</code>&nbsp;和&nbsp;<code>to<sub>i</sub></code> 。除此以外，还有一个布尔数组&nbsp;<code>hasApple</code> ，其中&nbsp;<code>hasApple[i] = true</code>&nbsp;代表节点&nbsp;<code>i</code>&nbsp;有一个苹果，否则，节点&nbsp;<code>i</code>&nbsp;没有苹果。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/05/10/min_time_collect_apple_1.png\" style=\"height: 212px; width: 300px;\" /></strong></p>\n\n<pre>\n<strong>输入：</strong>n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], hasApple = [false,false,true,false,true,true,false]\n<strong>输出：</strong>8 \n<strong>解释：</strong>上图展示了给定的树，其中红色节点表示有苹果。一个能收集到所有苹果的最优方案由绿色箭头表示。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/05/10/min_time_collect_apple_2.png\" style=\"height: 212px; width: 300px;\" /></strong></p>\n\n<pre>\n<strong>输入：</strong>n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], hasApple = [false,false,true,false,false,true,false]\n<strong>输出：</strong>6\n<strong>解释：</strong>上图展示了给定的树，其中红色节点表示有苹果。一个能收集到所有苹果的最优方案由绿色箭头表示。\n</pre>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], hasApple = [false,false,false,false,false,false,false]\n<strong>输出：</strong>0\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10^5</code></li>\n\t<li><code>edges.length == n - 1</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>&nbsp;&lt; b<sub>i</sub>&nbsp;&lt;= n - 1</code></li>\n\t<li><code>hasApple.length == n</code></li>\n</ul>\n",
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