Rikka with Graph(联通图取边,暴力)
Rikka with Graph
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others) Total Submission(s): 190 Accepted Submission(s): 78
Yuta has a non-direct graph with n vertices and n+1 edges. Rikka can choose some of the edges (at least one) and delete them from the graph.
Yuta wants to know the number of the ways to choose the edges in order to make the remaining graph connected.
It is too difficult for Rikka. Can you help her?
For each testcase, the first line contains a number n(n≤100).
Then n+1 lines follow. Each line contains two numbers u,v , which means there is an edge between u and v.
3
1 2
2 3
3 1
1 3
题解:题目问的是去掉边使图仍然联通。很简单的一道图论题,我竟然用prime错了半天。。。最后还是改了krustra,让找有多少中取法,直接暴力取边
代码:
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<vector>
using namespace std;
const int INF=0x3f3f3f3f;
#define mem(x,y) memset(x,y,sizeof(x))
#define SI(x) scanf("%d",&x)
#define PI(x) printf("%d",x)
#define SD(x,y) scanf("%lf%lf",&x,&y)
#define P_ printf(" ")
typedef long long LL;
const int MAXN=;
int pre[MAXN];
int s[MAXN],e[MAXN];
int N,ans;
int find(int r){
return pre[r]= pre[r]==r?r:find(pre[r]);
}
int check(int a,int b){
for(int i=;i<=N;i++)pre[i]=i;
for(int i=;i<=N;i++){
if(i==a||i==b)continue;
int f1=find(s[i]),f2=find(e[i]);
//printf("%d %d\n",f1,f2);
if(f1!=f2)pre[f1]=f2;
}
int cnt=;
for(int i=;i<=N;i++){
if(pre[i]==i)cnt++;
// if(cnt>1)printf("%d\n",cnt);
if(cnt>)return ;
}
return ;
}
int main(){
int T;
SI(T);
while(T--){
SI(N);
for(int i=;i<=N;i++)
SI(s[i]),SI(e[i]);
int ans=;
for(int i=;i<=N;i++)
for(int j=i;j<=N;j++){//相等代表的是取一条边。
ans+=check(i,j);
}
printf("%d\n",ans);
}
return ;
}
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