Redundant Paths-POJ3177(强连通缩点)
http://poj.org/problem?id=3177
题目大意:给你几个点和几条边 求你能加几条边 就可以让每一个点到达任意点都有两种方法。
Description
Given a description of the current set of R (F-1 <= R <= 10,000) paths that each connect exactly two different fields, determine the minimum number of new paths (each of which connects exactly two fields) that must be built so that there are at least two separate routes between any pair of fields. Routes are considered separate if they use none of the same paths, even if they visit the same intermediate field along the way.
There might already be more than one paths between the same pair of fields, and you may also build a new path that connects the same fields as some other path.
Input
Lines 2..R+1: Each line contains two space-separated integers which are the fields at the endpoints of some path.
Output
Sample Input
7 7
1 2
2 3
3 4
2 5
4 5
5 6
5 7
Sample Output
2
Hint
One visualization of the paths is:
1 2 3
+---+---+
| |
| |
6 +---+---+ 4
/ 5
/
/
7 +
Building new paths from 1 to 6 and from 4 to 7 satisfies the conditions.
1 2 3
+---+---+
: | |
: | |
6 +---+---+ 4
/ 5 :
/ :
/ :
7 + - - - -
Check some of the routes:
1 – 2: 1 –> 2 and 1 –> 6 –> 5 –> 2
1 – 4: 1 –> 2 –> 3 –> 4 and 1 –> 6 –> 5 –> 4
3 – 7: 3 –> 4 –> 7 and 3 –> 2 –> 5 –> 7
Every pair of fields is, in fact, connected by two routes.
It's possible that adding some other path will also solve the problem (like one from 6 to 7). Adding two paths, however, is the minimum.
#include<iostream>
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
#include<math.h>
#include<algorithm>
#include<stack>
#include<queue>
#include<vector> using namespace std;
#define N 20000 int low[N],dfn[N],n,fa[N],Stack[N],belong[N],Is[N],aa[N];
int Time,top,ans;
vector<vector <int> >G; void Inn()
{
G.clear();
G.resize(n+);
memset(low,,sizeof(low));
memset(dfn,,sizeof(dfn));
memset(fa,,sizeof(fa));
memset(belong,,sizeof(belong));
memset(Stack,,sizeof(Stack));
memset(Is,,sizeof(Is));
memset(aa,,sizeof(aa));
Time=top=ans=;
} void Tarjin(int u,int f)
{
dfn[u]=low[u]=++Time;
Stack[top++]=u;
Is[u]=;
fa[u]=f;
int len=G[u].size(),v;
for(int i=; i<len; i++)
{
v=G[u][i];
if(!dfn[v])
{
Tarjin(v,u);
low[u]=min(low[u],low[v]);
}
else if(f!=v)
low[u]=min(low[u],dfn[v]);
}
if(dfn[u]==low[u])
{
ans++;
do
{
v=Stack[--top];
belong[v]=ans;
Is[v]=;
}while(v!=u);
}
} int main()
{
int m,a,b,i,sum;
while(scanf("%d %d",&n,&m)!=EOF)
{
sum=;
Inn();
for(i=;i<=m;i++)
{
scanf("%d %d",&a,&b);
G[a].push_back(b);
G[b].push_back(a);
}
for(i=;i<=n;i++)
{
if(!dfn[i])
Tarjin(i,);
}
for(i=;i<=n;i++)
{
int v=fa[i];
if(belong[i]!=belong[v]&&v!=)
{
aa[belong[i]]++;
aa[belong[v]]++;
}
}
for(i=;i<=ans;i++)
{
if(aa[i]==)
sum++;
}
printf("%d\n",(sum+)/);
}
return ;
}
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