323. Number of Connected Components in an Undirected Graph (leetcode)
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
andedges = [[0, 1], [1, 2], [3, 4]]
0 3 | | 1 --- 2 4 Output: 2
Example 2:
Input:n = 5
andedges = [[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
.
idea: //use union find and count
class Solution { class UnionFind{ HashMap<Integer,Integer> map = new HashMap<>(); HashMap<Integer,Integer> sz = new HashMap<>(); int count;//num of component UnionFind(int n){ count = n;//? for(int i = 0; i<n; i++){ map.put(i, i); sz.put(i, 1); } } Integer root(int p){ if(!map.containsKey(p)) return null; while(p != map.get(p)){ Integer temp = map.get(map.get((p))); map.put(p, temp); p = map.get(p); } return p; } void Union(int p, int q){ Integer pid = root(p); Integer qid = root(q); if(pid == null || qid == null) return; if(pid.equals(qid) ) return; if(sz.get(pid) > sz.get(qid) ){ map.put(qid, pid); sz.put(pid, sz.get(pid)+sz.get(qid)); }else { map.put(pid, qid); sz.put(qid, sz.get(pid)+sz.get(qid)); } count--; } } public int countComponents(int n, int[][] edges) { UnionFind uf = new UnionFind(n); for(int i = 0; i<edges.length; i++){ uf.Union(edges[i][0], edges[i][1]); } return uf.count; } }