leetcode-problemset/leetcode-cn/originData/add-edges-to-make-degrees-of-all-nodes-even.json

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            "questionId": "2596",
            "questionFrontendId": "2508",
            "categoryTitle": "Algorithms",
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            "title": "Add Edges to Make Degrees of All Nodes Even",
            "titleSlug": "add-edges-to-make-degrees-of-all-nodes-even",
            "content": "<p>There is an <strong>undirected</strong> graph consisting of <code>n</code> nodes numbered from <code>1</code> to <code>n</code>. You are given the integer <code>n</code> and a <strong>2D</strong> array <code>edges</code> where <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> indicates that there is an edge between nodes <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code>. The graph can be disconnected.</p>\n\n<p>You can add <strong>at most</strong> two additional edges (possibly none) to this graph so that there are no repeated edges and no self-loops.</p>\n\n<p>Return <code>true</code><em> if it is possible to make the degree of each node in the graph even, otherwise return </em><code>false</code><em>.</em></p>\n\n<p>The degree of a node is the number of edges connected to it.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/26/agraphdrawio.png\" style=\"width: 500px; height: 190px;\" />\n<pre>\n<strong>Input:</strong> n = 5, edges = [[1,2],[2,3],[3,4],[4,2],[1,4],[2,5]]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> The above diagram shows a valid way of adding an edge.\nEvery node in the resulting graph is connected to an even number of edges.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/26/aagraphdrawio.png\" style=\"width: 400px; height: 120px;\" />\n<pre>\n<strong>Input:</strong> n = 4, edges = [[1,2],[3,4]]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> The above diagram shows a valid way of adding two edges.</pre>\n\n<p><strong>Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/26/aaagraphdrawio.png\" style=\"width: 150px; height: 158px;\" />\n<pre>\n<strong>Input:</strong> n = 4, edges = [[1,2],[1,3],[1,4]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> It is not possible to obtain a valid graph with adding at most 2 edges.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>2 &lt;= edges.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>1 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt;= n</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li>There are no repeated edges.</li>\n</ul>\n",
            "translatedTitle": "添加边使所有节点度数都为偶数",
            "translatedContent": "<p>给你一个有 <code>n</code>&nbsp;个节点的 <strong>无向</strong>&nbsp;图，节点编号为&nbsp;<code>1</code>&nbsp;到&nbsp;<code>n</code>&nbsp;。再给你整数&nbsp;<code>n</code>&nbsp;和一个二维整数数组&nbsp;<code>edges</code>&nbsp;，其中&nbsp;<code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code>&nbsp;表示节点&nbsp;<code>a<sub>i</sub></code> 和&nbsp;<code>b<sub>i</sub></code>&nbsp;之间有一条边。图不一定连通。</p>\n\n<p>你可以给图中添加 <strong>至多</strong>&nbsp;两条额外的边（也可以一条边都不添加），使得图中没有重边也没有自环。</p>\n\n<p>如果添加额外的边后，可以使得图中所有点的度数都是偶数，返回&nbsp;<code>true</code>&nbsp;，否则返回&nbsp;<code>false</code>&nbsp;。</p>\n\n<p>点的度数是连接一个点的边的数目。</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/2022/10/26/agraphdrawio.png\" style=\"width: 500px; height: 190px;\" /></p>\n\n<pre>\n<b>输入：</b>n = 5, edges = [[1,2],[2,3],[3,4],[4,2],[1,4],[2,5]]\n<b>输出：</b>true\n<b>解释：</b>上图展示了添加一条边的合法方案。\n最终图中每个节点都连接偶数条边。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/26/aagraphdrawio.png\" style=\"width: 400px; height: 120px;\" /></p>\n\n<pre>\n<b>输入：</b>n = 4, edges = [[1,2],[3,4]]\n<b>输出：</b>true\n<b>解释：</b>上图展示了添加两条边的合法方案。</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/26/aaagraphdrawio.png\" style=\"width: 150px; height: 158px;\" /></p>\n\n<pre>\n<b>输入：</b>n = 4, edges = [[1,2],[1,3],[1,4]]\n<b>输出：</b>false\n<b>解释：</b>无法添加至多 2 条边得到一个符合要求的图。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>2 &lt;= edges.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>1 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt;= n</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li>图中不会有重边</li>\n</ul>\n",
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