leetcode-problemset/leetcode-cn/originData/count-visited-nodes-in-a-directed-graph.json

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        "question": {
            "questionId": "3140",
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            "categoryTitle": "Algorithms",
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            "title": "Count Visited Nodes in a Directed Graph",
            "titleSlug": "count-visited-nodes-in-a-directed-graph",
            "content": "<p>There is a <strong>directed</strong> graph consisting of <code>n</code> nodes numbered from <code>0</code> to <code>n - 1</code> and <code>n</code> directed edges.</p>\n\n<p>You are given a <strong>0-indexed</strong> array <code>edges</code> where <code>edges[i]</code> indicates that there is an edge from node <code>i</code> to node <code>edges[i]</code>.</p>\n\n<p>Consider the following process on the graph:</p>\n\n<ul>\n\t<li>You start from a node <code>x</code> and keep visiting other nodes through edges until you reach a node that you have already visited before on this <strong>same</strong> process.</li>\n</ul>\n\n<p>Return <em>an array </em><code>answer</code><em> where </em><code>answer[i]</code><em> is the number of <strong>different</strong> nodes that you will visit if you perform the process starting from node </em><code>i</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/2023/08/31/graaphdrawio-1.png\" />\n<pre>\n<strong>Input:</strong> edges = [1,2,0,0]\n<strong>Output:</strong> [3,3,3,4]\n<strong>Explanation:</strong> We perform the process starting from each node in the following way:\n- Starting from node 0, we visit the nodes 0 -&gt; 1 -&gt; 2 -&gt; 0. The number of different nodes we visit is 3.\n- Starting from node 1, we visit the nodes 1 -&gt; 2 -&gt; 0 -&gt; 1. The number of different nodes we visit is 3.\n- Starting from node 2, we visit the nodes 2 -&gt; 0 -&gt; 1 -&gt; 2. The number of different nodes we visit is 3.\n- Starting from node 3, we visit the nodes 3 -&gt; 0 -&gt; 1 -&gt; 2 -&gt; 0. The number of different nodes we visit is 4.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/08/31/graaph2drawio.png\" style=\"width: 191px; height: 251px;\" />\n<pre>\n<strong>Input:</strong> edges = [1,2,3,4,0]\n<strong>Output:</strong> [5,5,5,5,5]\n<strong>Explanation:</strong> Starting from any node we can visit every node in the graph in the process.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == edges.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= edges[i] &lt;= n - 1</code></li>\n\t<li><code>edges[i] != i</code></li>\n</ul>\n",
            "translatedTitle": "有向图访问计数",
            "translatedContent": "<p>现有一个有向图，其中包含 <code>n</code> 个节点，节点编号从 <code>0</code> 到 <code>n - 1</code> 。此外，该图还包含了 <code>n</code> 条有向边。</p>\n\n<p>给你一个下标从 <strong>0</strong> 开始的数组 <code>edges</code> ，其中 <code>edges[i]</code> 表示存在一条从节点 <code>i</code> 到节点 <code>edges[i]</code> 的边。</p>\n\n<p>想象在图上发生以下过程：</p>\n\n<ul>\n\t<li>你从节点 <code>x</code> 开始，通过边访问其他节点，直到你在<strong> 此过程 </strong>中再次访问到之前已经访问过的节点。</li>\n</ul>\n\n<p>返回数组 <code>answer</code> 作为答案，其中 <code>answer[i]</code> 表示如果从节点 <code>i</code> 开始执行该过程，你可以访问到的不同节点数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/08/31/graaphdrawio-1.png\" />\n<pre>\n<strong>输入：</strong>edges = [1,2,0,0]\n<strong>输出：</strong>[3,3,3,4]\n<strong>解释：</strong>从每个节点开始执行该过程，记录如下：\n- 从节点 0 开始，访问节点 0 -&gt; 1 -&gt; 2 -&gt; 0 。访问的不同节点数是 3 。\n- 从节点 1 开始，访问节点 1 -&gt; 2 -&gt; 0 -&gt; 1 。访问的不同节点数是 3 。\n- 从节点 2 开始，访问节点 2 -&gt; 0 -&gt; 1 -&gt; 2 。访问的不同节点数是 3 。\n- 从节点 3 开始，访问节点 3 -&gt; 0 -&gt; 1 -&gt; 2 -&gt; 0 。访问的不同节点数是 4 。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/08/31/graaph2drawio.png\" style=\"width: 191px; height: 251px;\" />\n<pre>\n<strong>输入：</strong>edges = [1,2,3,4,0]\n<strong>输出：</strong>[5,5,5,5,5]\n<strong>解释：</strong>无论从哪个节点开始，在这个过程中，都可以访问到图中的每一个节点。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == edges.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= edges[i] &lt;= n - 1</code></li>\n\t<li><code>edges[i] != i</code></li>\n</ul>\n",
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                "Consider if the graph was only one cycle, what will be the answer for each node?",
                "The actual graph will always consist of at least one cycle and some other nodes.",
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