How Many Tables HDU 1213(并查集)

最新推荐文章于 2022-11-07 14:02:50 发布

Tsaryu

最新推荐文章于 2022-11-07 14:02:50 发布

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在Ignatius的生日聚会上，需要根据朋友间的相识关系合理分配餐桌，确保相识的朋友能坐在一起。此问题通过使用并查集算法来解决，算法能够有效地合并相识的朋友到同一组，最终确定所需的最少餐桌数量。

Today is Ignatius' birthday. He invites a lot of friends. Now it's dinner time. Ignatius wants to know how many tables he needs at least. You have to notice that not all the friends know each other, and all the friends do not want to stay with strangers.

One important rule for this problem is that if I tell you A knows B, and B knows C, that means A, B, C know each other, so they can stay in one table.

For example: If I tell you A knows B, B knows C, and D knows E, so A, B, C can stay in one table, and D, E have to stay in the other one. So Ignatius needs 2 tables at least.

Input

The input starts with an integer T(1<=T<=25) which indicate the number of test cases. Then T test cases follow. Each test case starts with two integers N and M(1<=N,M<=1000). N indicates the number of friends, the friends are marked from 1 to N. Then M lines follow. Each line consists of two integers A and B(A!=B), that means friend A and friend B know each other. There will be a blank line between two cases.

Output

For each test case, just output how many tables Ignatius needs at least. Do NOT print any blanks.

Sample Input

Sample Output

2
4

题目大意： 有n个人，m个分组，每个分组说明这几个人是朋友，如果是朋友就需要一起坐在一个桌子上吃饭，朋友的朋友也是朋友。问最后需要多少个桌子。

题目分析：裸的并查集。详见我的并查集详解的那个博文。

#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
const int maxn = 1005;
int a[maxn],fa[maxn];
int find(int x){
	int p,t;
	p=x;
	while(p != fa[p])
	   p = fa[p];
	while(x != p){
		t = fa[x];
		fa[x] = p;
		x = fa[x];
	}
	return x;
}
void join(int x,int y){
	int fx = find(x);
	int fy = find(y);
	if(fx != fy){
		fa[fx] = fy;
	}
}
int main(){
	int t;
	cin>>t;
	
	while(t--){
        int n,m;
		cin>>n>>m;
		
		for(int i=1;i<=n;i++)
			fa[i] = i;
		
		for(int i=1;i<=m;i++){
			int c,d;
			cin>>c>>d;
			join(c,d);
		}
		int ans = 0;
		for(int i=1;i<=n;i++)
		  if(fa[i] == i)
		    ans++; 
		cout<<ans<<endl;
	}
	return 0;
}