mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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182 lines
24 KiB
JSON
182 lines
24 KiB
JSON
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"title": "Checking Existence of Edge Length Limited Paths",
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"content": "<p>An undirected graph of <code>n</code> nodes is defined by <code>edgeList</code>, where <code>edgeList[i] = [u<sub>i</sub>, v<sub>i</sub>, dis<sub>i</sub>]</code> denotes an edge between nodes <code>u<sub>i</sub></code> and <code>v<sub>i</sub></code> with distance <code>dis<sub>i</sub></code>. Note that there may be <strong>multiple</strong> edges between two nodes.</p>\n\n<p>Given an array <code>queries</code>, where <code>queries[j] = [p<sub>j</sub>, q<sub>j</sub>, limit<sub>j</sub>]</code>, your task is to determine for each <code>queries[j]</code> whether there is a path between <code>p<sub>j</sub></code> and <code>q<sub>j</sub></code><sub> </sub>such that each edge on the path has a distance <strong>strictly less than</strong> <code>limit<sub>j</sub></code> .</p>\n\n<p>Return <em>a <strong>boolean array</strong> </em><code>answer</code><em>, where </em><code>answer.length == queries.length</code> <em>and the </em><code>j<sup>th</sup></code> <em>value of </em><code>answer</code> <em>is </em><code>true</code><em> if there is a path for </em><code>queries[j]</code><em> is </em><code>true</code><em>, and </em><code>false</code><em> otherwise</em>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/12/08/h.png\" style=\"width: 267px; height: 262px;\" />\n<pre>\n<strong>Input:</strong> n = 3, edgeList = [[0,1,2],[1,2,4],[2,0,8],[1,0,16]], queries = [[0,1,2],[0,2,5]]\n<strong>Output:</strong> [false,true]\n<strong>Explanation:</strong> The above figure shows the given graph. Note that there are two overlapping edges between 0 and 1 with distances 2 and 16.\nFor the first query, between 0 and 1 there is no path where each distance is less than 2, thus we return false for this query.\nFor the second query, there is a path (0 -> 1 -> 2) of two edges with distances less than 5, thus we return true for this query.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/12/08/q.png\" style=\"width: 390px; height: 358px;\" />\n<pre>\n<strong>Input:</strong> n = 5, edgeList = [[0,1,10],[1,2,5],[2,3,9],[3,4,13]], queries = [[0,4,14],[1,4,13]]\n<strong>Output:</strong> [true,false]\n<strong>Exaplanation:</strong> The above figure shows the given graph.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= edgeList.length, queries.length <= 10<sup>5</sup></code></li>\n\t<li><code>edgeList[i].length == 3</code></li>\n\t<li><code>queries[j].length == 3</code></li>\n\t<li><code>0 <= u<sub>i</sub>, v<sub>i</sub>, p<sub>j</sub>, q<sub>j</sub> <= n - 1</code></li>\n\t<li><code>u<sub>i</sub> != v<sub>i</sub></code></li>\n\t<li><code>p<sub>j</sub> != q<sub>j</sub></code></li>\n\t<li><code>1 <= dis<sub>i</sub>, limit<sub>j</sub> <= 10<sup>9</sup></code></li>\n\t<li>There may be <strong>multiple</strong> edges between two nodes.</li>\n</ul>\n",
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"translatedTitle": "检查边长度限制的路径是否存在",
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"translatedContent": "<p>给你一个 <code>n</code> 个点组成的无向图边集 <code>edgeList</code> ，其中 <code>edgeList[i] = [u<sub>i</sub>, v<sub>i</sub>, dis<sub>i</sub>]</code> 表示点 <code>u<sub>i</sub></code> 和点 <code>v<sub>i</sub></code> 之间有一条长度为 <code>dis<sub>i</sub></code> 的边。请注意，两个点之间可能有 <strong>超过一条边 </strong>。</p>\n\n<p>给你一个查询数组<code>queries</code> ，其中 <code>queries[j] = [p<sub>j</sub>, q<sub>j</sub>, limit<sub>j</sub>]</code> ，你的任务是对于每个查询 <code>queries[j]</code> ，判断是否存在从 <code>p<sub>j</sub></code> 到 <code>q<sub>j</sub></code><sub> </sub>的路径，且这条路径上的每一条边都 <strong>严格小于</strong> <code>limit<sub>j</sub></code> 。</p>\n\n<p>请你返回一个 <b>布尔数组</b><em> </em><code>answer</code><em> </em>，其中<em> </em><code>answer.length == queries.length</code> ，当 <code>queries[j]</code> 的查询结果为 <code>true</code> 时， <code>answer</code> 第<em> </em><code>j</code> 个值为<em> </em><code>true</code><em> </em>，否则为 <code>false</code> 。</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/2020/12/19/h.png\" style=\"width: 267px; height: 262px;\" />\n<pre>\n<b>输入：</b>n = 3, edgeList = [[0,1,2],[1,2,4],[2,0,8],[1,0,16]], queries = [[0,1,2],[0,2,5]]\n<b>输出：</b>[false,true]\n<b>解释：</b>上图为给定的输入数据。注意到 0 和 1 之间有两条重边，分别为 2 和 16 。\n对于第一个查询，0 和 1 之间没有小于 2 的边，所以我们返回 false 。\n对于第二个查询，有一条路径（0 -> 1 -> 2）两条边都小于 5 ，所以这个查询我们返回 true 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/12/19/q.png\" style=\"width: 390px; height: 358px;\" />\n<pre>\n<b>输入：</b>n = 5, edgeList = [[0,1,10],[1,2,5],[2,3,9],[3,4,13]], queries = [[0,4,14],[1,4,13]]\n<b>输出：</b>[true,false]\n<b>解释：</b>上图为给定数据。\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>5</sup></code></li>\n\t<li><code>1 <= edgeList.length, queries.length <= 10<sup>5</sup></code></li>\n\t<li><code>edgeList[i].length == 3</code></li>\n\t<li><code>queries[j].length == 3</code></li>\n\t<li><code>0 <= u<sub>i</sub>, v<sub>i</sub>, p<sub>j</sub>, q<sub>j</sub> <= n - 1</code></li>\n\t<li><code>u<sub>i</sub> != v<sub>i</sub></code></li>\n\t<li><code>p<sub>j</sub> != q<sub>j</sub></code></li>\n\t<li><code>1 <= dis<sub>i</sub>, limit<sub>j</sub> <= 10<sup>9</sup></code></li>\n\t<li>两个点之间可能有 <strong>多条</strong> 边。</li>\n</ul>\n",
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