mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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183 lines
26 KiB
JSON
183 lines
26 KiB
JSON
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"title": "Shortest Distance After Road Addition Queries I",
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"content": "<p>You are given an integer <code>n</code> and a 2D integer array <code>queries</code>.</p>\n\n<p>There are <code>n</code> cities numbered from <code>0</code> to <code>n - 1</code>. Initially, there is a <strong>unidirectional</strong> road from city <code>i</code> to city <code>i + 1</code> for all <code>0 <= i < n - 1</code>.</p>\n\n<p><code>queries[i] = [u<sub>i</sub>, v<sub>i</sub>]</code> represents the addition of a new <strong>unidirectional</strong> road from city <code>u<sub>i</sub></code> to city <code>v<sub>i</sub></code>. After each query, you need to find the <strong>length</strong> of the <strong>shortest path</strong> from city <code>0</code> to city <code>n - 1</code>.</p>\n\n<p>Return an array <code>answer</code> where for each <code>i</code> in the range <code>[0, queries.length - 1]</code>, <code>answer[i]</code> is the <em>length of the shortest path</em> from city <code>0</code> to city <code>n - 1</code> after processing the <strong>first </strong><code>i + 1</code> queries.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 5, queries = [[2,4],[0,2],[0,4]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[3,2,1]</span></p>\n\n<p><strong>Explanation: </strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image8.jpg\" style=\"width: 350px; height: 60px;\" /></p>\n\n<p>After the addition of the road from 2 to 4, the length of the shortest path from 0 to 4 is 3.</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image9.jpg\" style=\"width: 350px; height: 60px;\" /></p>\n\n<p>After the addition of the road from 0 to 2, the length of the shortest path from 0 to 4 is 2.</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image10.jpg\" style=\"width: 350px; height: 96px;\" /></p>\n\n<p>After the addition of the road from 0 to 4, the length of the shortest path from 0 to 4 is 1.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 4, queries = [[0,3],[0,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[1,1]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image11.jpg\" style=\"width: 300px; height: 70px;\" /></p>\n\n<p>After the addition of the road from 0 to 3, the length of the shortest path from 0 to 3 is 1.</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image12.jpg\" style=\"width: 300px; height: 70px;\" /></p>\n\n<p>After the addition of the road from 0 to 2, the length of the shortest path remains 1.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 <= n <= 500</code></li>\n\t<li><code>1 <= queries.length <= 500</code></li>\n\t<li><code>queries[i].length == 2</code></li>\n\t<li><code>0 <= queries[i][0] < queries[i][1] < n</code></li>\n\t<li><code>1 < queries[i][1] - queries[i][0]</code></li>\n\t<li>There are no repeated roads among the queries.</li>\n</ul>\n",
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"translatedTitle": "新增道路查询后的最短距离 I",
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"translatedContent": "<p>给你一个整数 <code>n</code> 和一个二维整数数组 <code>queries</code>。</p>\n\n<p>有 <code>n</code> 个城市，编号从 <code>0</code> 到 <code>n - 1</code>。初始时，每个城市 <code>i</code> 都有一条<strong>单向</strong>道路通往城市 <code>i + 1</code>（ <code>0 <= i < n - 1</code>）。</p>\n\n<p><code>queries[i] = [u<sub>i</sub>, v<sub>i</sub>]</code> 表示新建一条从城市 <code>u<sub>i</sub></code> 到城市 <code>v<sub>i</sub></code> 的<strong>单向</strong>道路。每次查询后，你需要找到从城市 <code>0</code> 到城市 <code>n - 1</code> 的<strong>最短路径</strong>的<strong>长度</strong>。</p>\n\n<p>返回一个数组 <code>answer</code>，对于范围 <code>[0, queries.length - 1]</code> 中的每个 <code>i</code>，<code>answer[i]</code> 是处理完<strong>前</strong> <code>i + 1</code> 个查询后，从城市 <code>0</code> 到城市 <code>n - 1</code> 的最短路径的<em>长度</em>。</p>\n\n<p> </p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">n = 5, queries = [[2, 4], [0, 2], [0, 4]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">[3, 2, 1]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image8.jpg\" style=\"width: 350px; height: 60px;\" /></p>\n\n<p>新增一条从 2 到 4 的道路后，从 0 到 4 的最短路径长度为 3。</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image9.jpg\" style=\"width: 350px; height: 60px;\" /></p>\n\n<p>新增一条从 0 到 2 的道路后，从 0 到 4 的最短路径长度为 2。</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image10.jpg\" style=\"width: 350px; height: 96px;\" /></p>\n\n<p>新增一条从 0 到 4 的道路后，从 0 到 4 的最短路径长度为 1。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">n = 4, queries = [[0, 3], [0, 2]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">[1, 1]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image11.jpg\" style=\"width: 300px; height: 70px;\" /></p>\n\n<p>新增一条从 0 到 3 的道路后，从 0 到 3 的最短路径长度为 1。</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/28/image12.jpg\" style=\"width: 300px; height: 70px;\" /></p>\n\n<p>新增一条从 0 到 2 的道路后，从 0 到 3 的最短路径长度仍为 1。</p>\n</div>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 <= n <= 500</code></li>\n\t<li><code>1 <= queries.length <= 500</code></li>\n\t<li><code>queries[i].length == 2</code></li>\n\t<li><code>0 <= queries[i][0] < queries[i][1] < n</code></li>\n\t<li><code>1 < queries[i][1] - queries[i][0]</code></li>\n\t<li>查询中没有重复的道路。</li>\n</ul>\n",
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