HDOJ 1213 how many tables (并查集)

How Many Tables

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

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

25 31 22 34 55 12 5

 

Sample Output

24

 

//我和你是朋友，你和他是朋友，那么我和他也是朋友........我的朋友真多啊，是朋友就坐到一起，不是的只能独自一人坐在一起了，问最多需要几个桌子。和畅通工程的代码如出一辙啊

#include<cstdio>int per[1100];//int k;int find(int x){    int t=x;    while (t!=per[t])    t=per[t];    per[x]=t;    return t;}void un(int a,int b){    int xa=find(a);    int xb=find(b);    if (xa!=xb)    per[xa]=xb;    }int main(){    int n,m,t;    scanf ("%d",&t);    while (t--)    {        while (scanf ("%d%d",&n,&m)!=EOF)        {            for (int i=1;i<=n;i++)            per[i]=i;                int x,y;            while (m--)            {                scanf ("%d%d",&x,&y);                un(x,y);            }            int k=0;            for (int i=1;i<=n;i++)            {                if (per[i]==i)                k++;            }            printf ("%d\n",k);        }    }    return 0;}

 

 

 

 

 

 

 

 

 

 

 

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