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leetcode-problemset/leetcode-cn/originData/reorder-routes-to-make-all-paths-lead-to-the-city-zero.json
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"categoryTitle": "Algorithms",
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"title": "Reorder Routes to Make All Paths Lead to the City Zero",
"titleSlug": "reorder-routes-to-make-all-paths-lead-to-the-city-zero",
"content": "<p>There are <code>n</code> cities numbered from <code>0</code> to <code>n - 1</code> and <code>n - 1</code> roads such that there is only one way to travel between two different cities (this network form a tree). Last year, The ministry of transport decided to orient the roads in one direction because they are too narrow.</p>\n\n<p>Roads are represented by <code>connections</code> where <code>connections[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> represents a road from city <code>a<sub>i</sub></code> to city <code>b<sub>i</sub></code>.</p>\n\n<p>This year, there will be a big event in the capital (city <code>0</code>), and many people want to travel to this city.</p>\n\n<p>Your task consists of reorienting some roads such that each city can visit the city <code>0</code>. Return the <strong>minimum</strong> number of edges changed.</p>\n\n<p>It&#39;s <strong>guaranteed</strong> that each city can reach city <code>0</code> after reorder.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/05/13/sample_1_1819.png\" style=\"width: 311px; height: 189px;\" />\n<pre>\n<strong>Input:</strong> n = 6, connections = [[0,1],[1,3],[2,3],[4,0],[4,5]]\n<strong>Output:</strong> 3\n<strong>Explanation: </strong>Change the direction of edges show in red such that each node can reach the node 0 (capital).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/05/13/sample_2_1819.png\" style=\"width: 509px; height: 79px;\" />\n<pre>\n<strong>Input:</strong> n = 5, connections = [[1,0],[1,2],[3,2],[3,4]]\n<strong>Output:</strong> 2\n<strong>Explanation: </strong>Change the direction of edges show in red such that each node can reach the node 0 (capital).\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, connections = [[1,0],[2,0]]\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>2 &lt;= n &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>connections.length == n - 1</code></li>\n\t<li><code>connections[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt;= n - 1</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n</ul>\n",
"translatedTitle": "重新规划路线",
"translatedContent": "<p><code>n</code> 座城市,从 <code>0</code> 到 <code>n-1</code> 编号,其间共有 <code>n-1</code> 条路线。因此,要想在两座不同城市之间旅行只有唯一一条路线可供选择(路线网形成一颗树)。去年,交通运输部决定重新规划路线,以改变交通拥堵的状况。</p>\n\n<p>路线用 <code>connections</code> 表示,其中 <code>connections[i] = [a, b]</code> 表示从城市 <code>a</code> 到 <code>b</code> 的一条有向路线。</p>\n\n<p>今年,城市 0 将会举办一场大型比赛,很多游客都想前往城市 0 。</p>\n\n<p>请你帮助重新规划路线方向,使每个城市都可以访问城市 0 。返回需要变更方向的最小路线数。</p>\n\n<p>题目数据 <strong>保证</strong> 每个城市在重新规划路线方向后都能到达城市 0 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/05/30/sample_1_1819.png\" style=\"height: 150px; width: 240px;\"></strong></p>\n\n<pre><strong>输入:</strong>n = 6, connections = [[0,1],[1,3],[2,3],[4,0],[4,5]]\n<strong>输出:</strong>3\n<strong>解释:</strong>更改以红色显示的路线的方向,使每个城市都可以到达城市 0 。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/05/30/sample_2_1819.png\" style=\"height: 60px; width: 380px;\"></strong></p>\n\n<pre><strong>输入:</strong>n = 5, connections = [[1,0],[1,2],[3,2],[3,4]]\n<strong>输出:</strong>2\n<strong>解释:</strong>更改以红色显示的路线的方向,使每个城市都可以到达城市 0 。</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>n = 3, connections = [[1,0],[2,0]]\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>2 &lt;= n &lt;= 5 * 10^4</code></li>\n\t<li><code>connections.length == n-1</code></li>\n\t<li><code>connections[i].length == 2</code></li>\n\t<li><code>0 &lt;= connections[i][0], connections[i][1] &lt;= n-1</code></li>\n\t<li><code>connections[i][0] != connections[i][1]</code></li>\n</ul>\n",
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