How Many Tables 简单并查集

时间:2023-03-09 17:10:06
How Many Tables  简单并查集
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.

InputThe 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.

OutputFor 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
#include <iostream>
#include <cstdio>
#include <queue>
using namespace std;
int n , m ;
int f[] ;
void init()
{
for(int i = ; i <= n ; i++)
{
f[i] = i ;
}
}
int getf(int x)
{
if(f[x] != x)f[x]=getf(f[x]);
return f[x] ;
}
int merge(int x,int y)
{
f[getf(y)]=getf(x);
}
int main()
{
int T,x,y,c;
scanf("%d" , &T);
while(T--)
{
c=;
scanf("%d%d",&n,&m);
init();
for(int i = ; i <= m ; i++)
{
scanf("%d %d",&x,&y);
merge(x,y);
}
for(int i = ; i <= n ; i++)
if(f[i]==i)c++;
printf("%d\n",c);
}
}