leetcode-problemset/leetcode/originData/count-the-number-of-complete-components.json

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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>&nbsp;</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>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 50</code></li>\n\t<li><code>0 &lt;= edges.length &lt;= n * (n - 1) / 2</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt;= 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": "class Solution {\npublic:\n    int countCompleteComponents(int n, vector<vector<int>>& edges) {\n        \n    }\n};",
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                    "code": "class Solution {\n    public int countCompleteComponents(int n, int[][] edges) {\n        \n    }\n}",
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                    "code": "class Solution(object):\n    def countCompleteComponents(self, n, edges):\n        \"\"\"\n        :type n: int\n        :type edges: List[List[int]]\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "public class Solution {\n    public int CountCompleteComponents(int n, int[][] edges) {\n        \n    }\n}",
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                    "code": "/**\n * @param {number} n\n * @param {number[][]} edges\n * @return {number}\n */\nvar countCompleteComponents = function(n, edges) {\n    \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": "class Solution {\n    func countCompleteComponents(_ n: Int, _ edges: [[Int]]) -> Int {\n        \n    }\n}",
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                    "code": "func countCompleteComponents(n int, edges [][]int) int {\n    \n}",
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                    "code": "object Solution {\n    def countCompleteComponents(n: Int, edges: Array[Array[Int]]): Int = {\n        \n    }\n}",
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                    "code": "class Solution {\n    fun countCompleteComponents(n: Int, edges: Array<IntArray>): Int {\n        \n    }\n}",
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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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                    "lang": "PHP",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer $n\n     * @param Integer[][] $edges\n     * @return Integer\n     */\n    function countCompleteComponents($n, $edges) {\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).",
                "For each connected component, count the number of nodes and edges in the component.",
                "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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