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"translatedContent": "<p>给你一棵 <code>n</code>&nbsp;个节点的树(一个无向、连通、无环图),每个节点表示一个城市,编号从&nbsp;<code>0</code>&nbsp;到&nbsp;<code>n - 1</code>&nbsp;,且恰好有&nbsp;<code>n - 1</code>&nbsp;条路。<code>0</code>&nbsp;是首都。给你一个二维整数数组&nbsp;<code>roads</code>&nbsp;,其中&nbsp;<code>roads[i] = [a<sub>i</sub>, b<sub>i</sub>]</code>&nbsp;,表示城市&nbsp;<code>a<sub>i</sub></code> 和&nbsp;<code>b<sub>i</sub></code>&nbsp;之间有一条&nbsp;<strong>双向路</strong>&nbsp;。</p>\n\n<p>每个城市里有一个代表,他们都要去首都参加一个会议。</p>\n\n<p>每座城市里有一辆车。给你一个整数&nbsp;<code>seats</code>&nbsp;表示每辆车里面座位的数目。</p>\n\n<p>城市里的代表可以选择乘坐所在城市的车,或者乘坐其他城市的车。相邻城市之间一辆车的油耗是一升汽油。</p>\n\n<p>请你返回到达首都最少需要多少升汽油。</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/2022/09/22/a4c380025e3ff0c379525e96a7d63a3.png\" style=\"width: 303px; height: 332px;\"></p>\n\n<pre><b>输入:</b>roads = [[0,1],[0,2],[0,3]], seats = 5\n<b>输出:</b>3\n<b>解释:</b>\n- 代表 1 直接到达首都,消耗 1 升汽油。\n- 代表 2 直接到达首都,消耗 1 升汽油。\n- 代表 3 直接到达首都,消耗 1 升汽油。\n最少消耗 3 升汽油。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/11/16/2.png\" style=\"width: 274px; height: 340px;\"></p>\n\n<pre><b>输入:</b>roads = [[3,1],[3,2],[1,0],[0,4],[0,5],[4,6]], seats = 2\n<b>输出:</b>7\n<b>解释:</b>\n- 代表 2 到达城市 3 ,消耗 1 升汽油。\n- 代表 2 和代表 3 一起到达城市 1 ,消耗 1 升汽油。\n- 代表 2 和代表 3 一起到达首都,消耗 1 升汽油。\n- 代表 1 直接到达首都,消耗 1 升汽油。\n- 代表 5 直接到达首都,消耗 1 升汽油。\n- 代表 6 到达城市 4 ,消耗 1 升汽油。\n- 代表 4 和代表 6 一起到达首都,消耗 1 升汽油。\n最少消耗 7 升汽油。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/09/27/efcf7f7be6830b8763639cfd01b690a.png\" style=\"width: 108px; height: 86px;\"></p>\n\n<pre><b>输入:</b>roads = [], seats = 1\n<b>输出:</b>0\n<b>解释:</b>没有代表需要从别的城市到达首都。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>roads.length == n - 1</code></li>\n\t<li><code>roads[i].length == 2</code></li>\n\t<li><code>0 &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><code>roads</code>&nbsp;表示一棵合法的树。</li>\n\t<li><code>1 &lt;= seats &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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"hints": [
"Can you record the size of each subtree?",
"If n people meet on the same node, what is the minimum number of cars needed?"