Lightoj 1009 - Back to Underworld

1009 - Back to Underworld

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Time Limit: 4 second(s)

Memory Limit: 32 MB

The Vampires and Lykans are fighting each other to death. The war has become so fierce that, none knows who will win. The humans want to know who will survive finally. But humans are afraid of going to the battlefield.

So, they made a plan. They collected the information from the newspapers of Vampires and Lykans. They found the information about all the dual fights. Dual fight means a fight between a Lykan and a Vampire. They know the name of the dual fighters, but don't know which one of them is a Vampire or a Lykan.

So, the humans listed all the rivals. They want to find the maximum possible number of Vampires or Lykans.

Input

Input starts with an integer T (≤ 10), denoting the number of test cases.

Each case contains an integer n (1 ≤ n ≤ 105), denoting the number of dual fights. Each of the next n lines will contain two different integers u v (1 ≤ u, v ≤ 20000) denoting there was a fight between uand v. No rival will be reported more than once.

Output

For each case, print the case number and the maximum possible members of any race.

Sample Input	Output for Sample Input
2 2 1 2 2 3 3 1 2 2 3 4 2	Case 1: 2 Case 2: 3

二分图染色

dfs

/* ***********************************************
Author        :guanjun
Created Time  :2016-6-12 15:28:00
File Name     :1009.cpp
************************************************ */
#include <iostream>
#include <cstring>
#include <cstdlib>
#include <stdio.h>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <iomanip>
#include <list>
#include <deque>
#include <stack>
#define ull unsigned long long
#define ll long long
#define mod 90001
#define INF 0x3f3f3f3f
#define maxn 20100
#define cle(a) memset(a,0,sizeof(a))
const ull inf = 1LL << 61;
const double eps=1e-5;
using namespace std;

vector<int>edge[maxn];
int vis[maxn];
int a,b;
void init(){
cle(vis);
a=b=0;
for(int i=0;i<maxn;i++)edge[i].clear();
}
void dfs(int u,int k){
vis[u]=k;
if(k==1)a++;
if(k==2)b++;
for(int i=0;i<edge[u].size();i++){
int v=edge[u][i];
if(!vis[v]){
dfs(v,3-k);
}
}
}
int main()
{
#ifndef ONLINE_JUDGE
freopen("in.txt","r",stdin);
#endif
//freopen("out.txt","w",stdout);
int T,n,x,y;
cin>>T;
for(int t=1;t<=T;t++){
init();
scanf("%d",&n);
for(int i=1;i<=n;i++){
scanf("%d%d",&x,&y);
edge[x].push_back(y);
edge[y].push_back(x);
}
int ans=0;
for(int i=1;i<maxn;i++){
if(vis[i]==0&&edge[i].size()){
a=0;b=0;
dfs(i,1);
ans+=max(a,b);
}
}

printf("Case %d: %d\n",t,ans);
}
return 0;
}