leetcode-problemset/leetcode-cn/originData/shortest-cycle-in-a-graph.json

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            "title": "Shortest Cycle in a Graph",
            "titleSlug": "shortest-cycle-in-a-graph",
            "content": "<p>There is a <strong>bi-directional </strong>graph with <code>n</code> vertices, where each vertex is labeled from <code>0</code> to <code>n - 1</code>. The edges in the graph are represented by a given 2D integer array <code>edges</code>, where <code>edges[i] = [u<sub>i</sub>, v<sub>i</sub>]</code> denotes an edge between vertex <code>u<sub>i</sub></code> and vertex <code>v<sub>i</sub></code>. Every vertex pair is connected by at most one edge, and no vertex has an edge to itself.</p>\n\n<p>Return <em>the length of the <strong>shortest </strong>cycle in the graph</em>. If no cycle exists, return <code>-1</code>.</p>\n\n<p>A cycle is a path that starts and ends at the same node, and each edge in the path is used only once.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/04/cropped.png\" style=\"width: 387px; height: 331px;\" />\n<pre>\n<strong>Input:</strong> n = 7, edges = [[0,1],[1,2],[2,0],[3,4],[4,5],[5,6],[6,3]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The cycle with the smallest length is : 0 -&gt; 1 -&gt; 2 -&gt; 0 \n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/04/croppedagin.png\" style=\"width: 307px; height: 307px;\" />\n<pre>\n<strong>Input:</strong> n = 4, edges = [[0,1],[0,2]]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> There are no cycles in this graph.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 1000</code></li>\n\t<li><code>1 &lt;= edges.length &lt;= 1000</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= u<sub>i</sub>, v<sub>i</sub> &lt; n</code></li>\n\t<li><code>u<sub>i</sub> != v<sub>i</sub></code></li>\n\t<li>There are no repeated edges.</li>\n</ul>\n",
            "translatedTitle": "图中的最短环",
            "translatedContent": "<p>现有一个含 <code>n</code> 个顶点的 <strong>双向</strong> 图，每个顶点按从 <code>0</code> 到 <code>n - 1</code> 标记。图中的边由二维整数数组 <code>edges</code> 表示，其中 <code>edges[i] = [u<sub>i</sub>, v<sub>i</sub>]</code> 表示顶点 <code>u<sub>i</sub></code> 和 <code>v<sub>i</sub></code> 之间存在一条边。每对顶点最多通过一条边连接，并且不存在与自身相连的顶点。</p>\n\n<p>返回图中 <strong>最短</strong> 环的长度。如果不存在环，则返回 <code>-1</code> 。</p>\n\n<p><strong>环</strong> 是指以同一节点开始和结束，并且路径中的每条边仅使用一次。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/04/cropped.png\" style=\"width: 387px; height: 331px;\">\n<pre><strong>输入：</strong>n = 7, edges = [[0,1],[1,2],[2,0],[3,4],[4,5],[5,6],[6,3]]\n<strong>输出：</strong>3\n<strong>解释：</strong>长度最小的循环是：0 -&gt; 1 -&gt; 2 -&gt; 0 \n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/04/croppedagin.png\" style=\"width: 307px; height: 307px;\">\n<pre><strong>输入：</strong>n = 4, edges = [[0,1],[0,2]]\n<strong>输出：</strong>-1\n<strong>解释：</strong>图中不存在循环\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;= 1000</code></li>\n\t<li><code>1 &lt;= edges.length &lt;= 1000</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= u<sub>i</sub>, v<sub>i</sub> &lt; n</code></li>\n\t<li><code>u<sub>i</sub> != v<sub>i</sub></code></li>\n\t<li>不存在重复的边</li>\n</ul>\n",
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