package LeetCode_323 import java.util.* import kotlin.collections.ArrayList import kotlin.collections.HashMap /** * 323. Number of Connected Components in an Undirected Graph * (Prime) * Given n nodes labeled from 0 to n - 1 and a list of undirected edges (each edge is a pair of nodes), * write a function to find the number of connected components in an undirected graph. Example 1: Input: n = 5 and edges = [[0, 1], [1, 2], [3, 4]] 0 3 | | 1 --- 2 4 Output: 2 Example 2: Input: n = 5 and edges = [[0, 1], [1, 2], [2, 3], [3, 4]] 0 4 | | 1 --- 2 --- 3 Output: 1 Note: You can assume that no duplicate edges will appear in edges. Since all edges are undirected, [0, 1] is the same as [1, 0] and thus will not appear together in edges. * */ class Solution { /* * solution: BFS, Time complexity:O(e+n), Space complexity:O(n) * */ fun countComponents(n: Int, edges: Array<Pair<Int, Int>>): Int { var result = 0 val visited = BooleanArray(n) //create graph val graph = HashMap<Int, ArrayList<Int>>() for (i in 0 until n) { graph.put(i, ArrayList()) } for (edge in edges) { graph[edge.first]!!.add(edge.second) graph[edge.second]!!.add(edge.first) } //queue for BFS val queue = LinkedList<Int>() for (i in 0 until n) { if (visited[i]) { continue } result++ queue.offer(i) while (queue.isNotEmpty()) { val cur = queue.poll() if (!visited[cur]) { visited[cur] = true val list = graph.get(cur) if (list != null) { for (g in list) { queue.offer(g) } } } } } return result } }