mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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177 lines
25 KiB
JSON
177 lines
25 KiB
JSON
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"title": "Maximum Building Height",
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"content": "<p>You want to build <code>n</code> new buildings in a city. The new buildings will be built in a line and are labeled from <code>1</code> to <code>n</code>.</p>\n\n<p>However, there are city restrictions on the heights of the new buildings:</p>\n\n<ul>\n\t<li>The height of each building must be a non-negative integer.</li>\n\t<li>The height of the first building <strong>must</strong> be <code>0</code>.</li>\n\t<li>The height difference between any two adjacent buildings <strong>cannot exceed</strong> <code>1</code>.</li>\n</ul>\n\n<p>Additionally, there are city restrictions on the maximum height of specific buildings. These restrictions are given as a 2D integer array <code>restrictions</code> where <code>restrictions[i] = [id<sub>i</sub>, maxHeight<sub>i</sub>]</code> indicates that building <code>id<sub>i</sub></code> must have a height <strong>less than or equal to</strong> <code>maxHeight<sub>i</sub></code>.</p>\n\n<p>It is guaranteed that each building will appear <strong>at most once</strong> in <code>restrictions</code>, and building <code>1</code> will <strong>not</strong> be in <code>restrictions</code>.</p>\n\n<p>Return <em>the <strong>maximum possible height</strong> of the <strong>tallest</strong> building</em>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/04/08/ic236-q4-ex1-1.png\" style=\"width: 400px; height: 253px;\" />\n<pre>\n<strong>Input:</strong> n = 5, restrictions = [[2,1],[4,1]]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The green area in the image indicates the maximum allowed height for each building.\nWe can build the buildings with heights [0,1,2,1,2], and the tallest building has a height of 2.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/04/08/ic236-q4-ex2.png\" style=\"width: 500px; height: 269px;\" />\n<pre>\n<strong>Input:</strong> n = 6, restrictions = []\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The green area in the image indicates the maximum allowed height for each building.\nWe can build the buildings with heights [0,1,2,3,4,5], and the tallest building has a height of 5.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/04/08/ic236-q4-ex3.png\" style=\"width: 500px; height: 187px;\" />\n<pre>\n<strong>Input:</strong> n = 10, restrictions = [[5,3],[2,5],[7,4],[10,3]]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The green area in the image indicates the maximum allowed height for each building.\nWe can build the buildings with heights [0,1,2,3,3,4,4,5,4,3], and the tallest building has a height of 5.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= n <= 10<sup>9</sup></code></li>\n\t<li><code>0 <= restrictions.length <= min(n - 1, 10<sup>5</sup>)</code></li>\n\t<li><code>2 <= id<sub>i</sub> <= n</code></li>\n\t<li><code>id<sub>i</sub></code> is <strong>unique</strong>.</li>\n\t<li><code>0 <= maxHeight<sub>i</sub> <= 10<sup>9</sup></code></li>\n</ul>\n",
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"translatedTitle": "最高建筑高度",
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"translatedContent": "<p>在一座城市里，你需要建 <code>n</code> 栋新的建筑。这些新的建筑会从 <code>1</code> 到 <code>n</code> 编号排成一列。</p>\n\n<p>这座城市对这些新建筑有一些规定：</p>\n\n<ul>\n\t<li>每栋建筑的高度必须是一个非负整数。</li>\n\t<li>第一栋建筑的高度 <strong>必须</strong> 是 <code>0</code> 。</li>\n\t<li>任意两栋相邻建筑的高度差 <strong>不能超过</strong> <code>1</code> 。</li>\n</ul>\n\n<p>除此以外，某些建筑还有额外的最高高度限制。这些限制会以二维整数数组 <code>restrictions</code> 的形式给出，其中 <code>restrictions[i] = [id<sub>i</sub>, maxHeight<sub>i</sub>]</code> ，表示建筑 <code>id<sub>i</sub></code> 的高度 <strong>不能超过</strong> <code>maxHeight<sub>i</sub></code> 。</p>\n\n<p>题目保证每栋建筑在 <code>restrictions</code> 中<strong> 至多出现一次</strong> ，同时建筑 <code>1</code> <strong>不会</strong> 出现在 <code>restrictions</code> 中。</p>\n\n<p>请你返回 <strong>最高</strong> 建筑能达到的 <strong>最高高度</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/04/25/ic236-q4-ex1-1.png\" style=\"width: 400px; height: 253px;\" />\n<pre>\n<b>输入：</b>n = 5, restrictions = [[2,1],[4,1]]\n<b>输出：</b>2\n<b>解释：</b>上图中的绿色区域为每栋建筑被允许的最高高度。\n我们可以使建筑高度分别为 [0,1,2,1,2] ，最高建筑的高度为 2 。</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/04/25/ic236-q4-ex2.png\" style=\"width: 500px; height: 269px;\" />\n<pre>\n<b>输入：</b>n = 6, restrictions = []\n<b>输出：</b>5\n<b>解释：</b>上图中的绿色区域为每栋建筑被允许的最高高度。\n我们可以使建筑高度分别为 [0,1,2,3,4,5] ，最高建筑的高度为 5 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/04/25/ic236-q4-ex3.png\" style=\"width: 500px; height: 187px;\" />\n<pre>\n<b>输入：</b>n = 10, restrictions = [[5,3],[2,5],[7,4],[10,3]]\n<b>输出：</b>5\n<b>解释：</b>上图中的绿色区域为每栋建筑被允许的最高高度。\n我们可以使建筑高度分别为 [0,1,2,3,3,4,4,5,4,3] ，最高建筑的高度为 5 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 <= n <= 10<sup>9</sup></code></li>\n\t<li><code>0 <= restrictions.length <= min(n - 1, 10<sup>5</sup>)</code></li>\n\t<li><code>2 <= id<sub>i</sub> <= n</code></li>\n\t<li><code>id<sub>i</sub></code> 是 <strong>唯一的</strong> 。</li>\n\t<li><code>0 <= maxHeight<sub>i</sub> <= 10<sup>9</sup></code></li>\n</ul>\n",
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