How Many Tables

本文介绍了一个使用并查集算法解决聚会时如何合理分配桌子的问题。具体场景为根据参与者之间的熟悉程度,将直接或间接认识的人安排在同一桌,以减少所需桌子的数量。
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
2
5 3
1 2
2 3
4 5

5 1
2 5
Sample Output
2
4
算是一道入门级别的并查集吧。T组数据,每组数据第一行n,m。 n代表n个人聚餐   m代表接下来有m行输入, 每行两个数字A,B,表示A和B两个人认识。直接或者间接认识的人坐一桌,问一共需要多少桌。
把认识的合并一下,然后再计算一下集合就行了。
#include <stdio.h>
int f[1005];
void init(int n) {
	for(int i = 1; i <= n; i++) {
		f[i] = i;
	}
}


int getf(int v) {
	if(f[v] != v) {
		f[v] = getf(f[v]);
	}
	return f[v];
}


void merge(int u, int v) {
	int t1 = getf(u);
	int t2 = getf(v);
	if(t1 != t2) {
		f[t1] = t2;
	}
}
int main() {
	int T;
	int n, m;
	int A, B;
	scanf("%d", &T);
	while(T--) {
		scanf("%d %d", &n, &m);
		init(n);
		for(int i = 1; i <= m; i++) {
			scanf("%d %d", &A, &B);
			merge(A, B);
		}
		int sum = 0;
		for(int i = 1; i <= n; i++) {
			if(f[i] == i) { //计算有几个集合 
				sum ++;
			}
		}
		printf("%d\n", sum);
	}
	return 0;
}
6-4 朋友聚会 分数 10 作者 杜祥军 单位 青岛大学 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. 函数接口定义: int find(int x); 其中 N 和 D 都是用户传入的参数。 N 的值不超过int的范围; D 是[0, 9]区间内的个位数。函数须返回 N 中 D 出现的次数。 裁判测试程序样例: #include <stdio.h> int pre[1010]; int find(int x); int main() { int t; scanf("%d",&t); while(t--){ int n ,m; scanf("%d%d",&n,&m); for(int i=1;i<=n;i++) pre[i]=i; for(int i=0;i<m;i++){ int x,y; scanf("%d%d",&x,&y); int fx=find(x); int fy=find(y); if(fx!=fy) pre[fx]=fy; } int cnt=0; for(int i=1;i<=n;i++) if(pre[i]==i) cnt++; printf("%d\n",cnt); } return 0; } /* 请在这里填写答案 */ 输入样例: 2 5 3 1 2 2 3 4 5 5 1 2 5 输出样例: 2 4 代码长度限制 16 KB 时间限制 1000 ms 内存限制 32 MB C++ (g++) 1 给出参考代码
最新发布
10-28
评论
成就一亿技术人!
拼手气红包6.0元
还能输入1000个字符
 
红包 添加红包
表情包 插入表情
 条评论被折叠 查看
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值