mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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181 lines
18 KiB
JSON
181 lines
18 KiB
JSON
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"questionId": "2793",
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"title": "Count the Number of Complete Components",
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"content": "<p>You are given an integer <code>n</code>. There is an <strong>undirected</strong> graph with <code>n</code> vertices, numbered from <code>0</code> to <code>n - 1</code>. You are given a 2D integer array <code>edges</code> where <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> denotes that there exists an <strong>undirected</strong> edge connecting vertices <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code>.</p>\n\n<p>Return <em>the number of <strong>complete connected components</strong> of the graph</em>.</p>\n\n<p>A <strong>connected component</strong> is a subgraph of a graph in which there exists a path between any two vertices, and no vertex of the subgraph shares an edge with a vertex outside of the subgraph.</p>\n\n<p>A connected component is said to be <b>complete</b> if there exists an edge between every pair of its vertices.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<p><strong class=\"example\"><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/04/11/screenshot-from-2023-04-11-23-31-23.png\" style=\"width: 671px; height: 270px;\" /></strong></p>\n\n<pre>\n<strong>Input:</strong> n = 6, edges = [[0,1],[0,2],[1,2],[3,4]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> From the picture above, one can see that all of the components of this graph are complete.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><strong class=\"example\"><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/04/11/screenshot-from-2023-04-11-23-32-00.png\" style=\"width: 671px; height: 270px;\" /></strong></p>\n\n<pre>\n<strong>Input:</strong> n = 6, edges = [[0,1],[0,2],[1,2],[3,4],[3,5]]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The component containing vertices 0, 1, and 2 is complete since there is an edge between every pair of two vertices. On the other hand, the component containing vertices 3, 4, and 5 is not complete since there is no edge between vertices 4 and 5. Thus, the number of complete components in this graph is 1.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 50</code></li>\n\t<li><code>0 <= edges.length <= n * (n - 1) / 2</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 <= a<sub>i</sub>, b<sub>i</sub> <= n - 1</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li>There are no repeated edges.</li>\n</ul>\n",
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"code": "# @param {Integer} n\n# @param {Integer[][]} edges\n# @return {Integer}\ndef count_complete_components(n, edges)\n \nend",
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"code": "impl Solution {\n pub fn count_complete_components(n: i32, edges: Vec<Vec<i32>>) -> i32 {\n \n }\n}",
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"Find the connected components of an undirected graph using depth-first search (DFS) or breadth-first search (BFS).",
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"For each connected component, count the number of nodes and edges in the component.",
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"A connected component is complete if and only if the number of edges in the component is equal to m*(m-1)/2, where m is the number of nodes in the component."
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