hdoj-1213-How Many Tables【并查集】

生日派对桌数最少计算

最新推荐文章于 2025-09-13 09:06:35 发布

转载最新推荐文章于 2025-09-13 09:06:35 发布 · 52 阅读

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#java

本文介绍了一个经典的图论问题——如何计算让所有互相认识的朋友都能坐在同一桌所需的最少桌数。通过并查集算法解决该问题，实现快速判断朋友间的联系并计算所需桌数。

How Many Tables

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 17892 Accepted Submission(s): 8794

Problem Description

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

    2 5 3 1 2 2 3 4 5 5 1 2 5
   

Sample Output

2 4

Author

Ignatius.L

Source

杭电ACM省赛集训队选拔赛之热身赛

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#include<stdio.h> 
int root[1010];
int find(int i){
	if(root[i]==i) return i;
	return root[i]=find(root[i]);
}
void unio(int i,int j){
	if(find(i)<=find(j)) root[j]=find(i);
	else root[i]=find(j);
	return;
}
int main(){
	int  t;
	scanf("%d",&t);
	while(t--){
		int n,m,i,x,y,nu=0;
		scanf("%d%d",&n,&m);
		for(i=1;i<=n;++i) root[i]=i;
		for(i=1;i<=m;++i){
		  scanf("%d%d",&x,&y);
		  if(find(x)!=find(y))
		     unio(find(x),find(y));
		     //unio(x,y);  //此处写法是错误的,在这里WA了多次！

！！！！

！！

！。！！！！改动的应是各自的根 } for(i=1;i<=n;++i){ if(root[i]==i) nu++; } printf("%d\n",nu); } return 0; }