POJ1144 Network(割點)題解
阿新 • • 發佈:2019-02-19
Description
A Telephone Line Company (TLC) is establishing a new telephone cable network. They are connecting several places numbered by integers from 1 to N . No two places have the same number. The lines are bidirectional and always connect together two places and in each place the lines end in a telephone exchange. There is one telephone exchange in each place. From each place it ispossible to reach through lines every other place, however it need not be a direct connection, it can go through several exchanges. From time to time the power supply fails at a place and then the exchange does not operate. The officials from TLC realized that in such a case it can happen that besides the fact that the place with the failure is unreachable, this can also cause that some other places cannot connect to each other. In such a case we will say the place (where the failure
occured) is critical. Now the officials are trying to write a program for finding the number of all such critical places. Help them.
Input
by one space. Each block ends with a line containing just 0. The last block has only one line with N = 0;
Output
Sample Input
5 5 1 2 3 4 0 6 2 1 3 5 4 6 2 0 0
Sample Output
1 2
思路:
求割點模板題,再輸入那裡WA了兩發orz...,以為最多隻能n行就加了個while。
因為是個無向圖,所以tarjan(1)就行了,根節點也就只有1了
判斷割點的方法:
1.是根節點:如果son>=2就是割點
2.不是根節點:如果low[v]>=dfn[x]那麼x就是割點
程式碼:
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<cctype>
#include<queue>
#include<cmath>
#include<string>
#include<map>
#include<stack>
#include<set>
#include<vector>
#include<iostream>
#include<algorithm>
#include<sstream>
#define ll long long
const int N=110;
const int INF=1e9;
using namespace std;
int cnt;
int dfn[N],low[N];
vector<int> g[N];
map<int,int> ans;
void tarjan(int x){
dfn[x]=low[x]=cnt++;
int son=0;
for(int i=0;i<g[x].size();i++){
int v=g[x][i];
if(!dfn[v]){
son++;
tarjan(v);
low[x]=min(low[x],low[v]);
if(low[v]>=dfn[x] && dfn[x]!=1) ans[x]++;
else if(x==1 && son>1){
ans[x]++;
}
}
else{
low[x]=min(low[x],dfn[v]);
}
}
}
void init(){
cnt=1;
for(int i=0;i<N;i++) g[i].clear();
ans.clear();
memset(dfn,0,sizeof(dfn));
memset(low,0,sizeof(low));
}
int main(){
int n,a,b;
string s;
while(~scanf("%d",&n) && n){
init();
getchar();
while(true){
getline(cin,s);
stringstream ss(s);
ss>>a;
if(!a) break;
while(ss>>b && b){
g[a].push_back(b);
g[b].push_back(a);
}
}
tarjan(1);
cout<<ans.size()<<endl;
}
return 0;
}