leetcode-problemset/leetcode-cn/originData/minimum-number-of-vertices-to-reach-all-nodes.json

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            "questionId": "1661",
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            "categoryTitle": "Algorithms",
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            "title": "Minimum Number of Vertices to Reach All Nodes",
            "titleSlug": "minimum-number-of-vertices-to-reach-all-nodes",
            "content": "<p>Given a<strong>&nbsp;directed acyclic graph</strong>,&nbsp;with&nbsp;<code>n</code>&nbsp;vertices numbered from&nbsp;<code>0</code>&nbsp;to&nbsp;<code>n-1</code>,&nbsp;and an array&nbsp;<code>edges</code>&nbsp;where&nbsp;<code>edges[i] = [from<sub>i</sub>, to<sub>i</sub>]</code>&nbsp;represents a directed edge from node&nbsp;<code>from<sub>i</sub></code>&nbsp;to node&nbsp;<code>to<sub>i</sub></code>.</p>\r\n\r\n<p>Find <em>the smallest set of vertices from which all nodes in the graph are reachable</em>. It&#39;s guaranteed that a unique solution exists.</p>\r\n\r\n<p>Notice that you can return the vertices in any order.</p>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Example 1:</strong></p>\r\n\r\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/07/untitled22.png\" style=\"width: 231px; height: 181px;\" /></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> n = 6, edges = [[0,1],[0,2],[2,5],[3,4],[4,2]]\r\n<strong>Output:</strong> [0,3]\r\n<b>Explanation: </b>It&#39;s not possible to reach all the nodes from a single vertex. From 0 we can reach [0,1,2,5]. From 3 we can reach [3,4,2,5]. So we output [0,3].</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n\r\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/07/untitled.png\" style=\"width: 201px; height: 201px;\" /></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> n = 5, edges = [[0,1],[2,1],[3,1],[1,4],[2,4]]\r\n<strong>Output:</strong> [0,2,3]\r\n<strong>Explanation: </strong>Notice that vertices 0, 3 and 2 are not reachable from any other node, so we must include them. Also any of these vertices can reach nodes 1 and 4.\r\n</pre>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>2 &lt;= n &lt;= 10^5</code></li>\r\n\t<li><code>1 &lt;= edges.length &lt;= min(10^5, n * (n - 1) / 2)</code></li>\r\n\t<li><code>edges[i].length == 2</code></li>\r\n\t<li><code>0 &lt;= from<sub>i,</sub>&nbsp;to<sub>i</sub> &lt; n</code></li>\r\n\t<li>All pairs <code>(from<sub>i</sub>, to<sub>i</sub>)</code> are distinct.</li>\r\n</ul>",
            "translatedTitle": "可以到达所有点的最少点数目",
            "translatedContent": "<p>给你一个 <strong>有向无环图</strong>&nbsp;， <code>n</code>&nbsp;个节点编号为 <code>0</code>&nbsp;到 <code>n-1</code>&nbsp;，以及一个边数组 <code>edges</code>&nbsp;，其中 <code>edges[i] = [from<sub>i</sub>, to<sub>i</sub>]</code>&nbsp;表示一条从点&nbsp;&nbsp;<code>from<sub>i</sub></code>&nbsp;到点&nbsp;<code>to<sub>i</sub></code>&nbsp;的有向边。</p>\n\n<p>找到最小的点集使得从这些点出发能到达图中所有点。题目保证解存在且唯一。</p>\n\n<p>你可以以任意顺序返回这些节点编号。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/08/22/5480e1.png\" style=\"height: 181px; width: 231px;\"></p>\n\n<pre><strong>输入：</strong>n = 6, edges = [[0,1],[0,2],[2,5],[3,4],[4,2]]\n<strong>输出：</strong>[0,3]\n<strong>解释：</strong>从单个节点出发无法到达所有节点。从 0 出发我们可以到达 [0,1,2,5] 。从 3 出发我们可以到达 [3,4,2,5] 。所以我们输出 [0,3] 。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/08/22/5480e2.png\" style=\"height: 201px; width: 201px;\"></p>\n\n<pre><strong>输入：</strong>n = 5, edges = [[0,1],[2,1],[3,1],[1,4],[2,4]]\n<strong>输出：</strong>[0,2,3]\n<strong>解释：</strong>注意到节点 0，3 和 2 无法从其他节点到达，所以我们必须将它们包含在结果点集中，这些点都能到达节点 1 和 4 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 10^5</code></li>\n\t<li><code>1 &lt;= edges.length &lt;= min(10^5, n * (n - 1) / 2)</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= from<sub>i,</sub>&nbsp;to<sub>i</sub> &lt; n</code></li>\n\t<li>所有点对&nbsp;<code>(from<sub>i</sub>, to<sub>i</sub>)</code>&nbsp;互不相同。</li>\n</ul>\n",
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