POJ 2117 Electricity 割点
http://poj.org/problem?id=2117
题意:给出一个无向图,不一定连通。问去掉一个点后,图最多分成几部分(几个连通图)
第一个割点题
代码:
#include<iostream>
#include<cstdio>
#include<string>
#include<cstring>
#define Max(a,b)a>b?a:b
#define Min(a,b)a<b?a:b
#define nMAX 10005
#define mMAX 2000010
using namespace std;
int head[nMAX],low[nMAX],dfn[nMAX],cut[nMAX];
int s_edge,times,root;
bool vs[nMAX];
struct Edge
{
int u,v,nxt;
}edge[mMAX];
void addedge(int u,int v)
{
edge[++s_edge].v=v;
edge[s_edge].nxt=head[u];
head[u]=s_edge;
edge[++s_edge].v=u;
edge[s_edge].nxt=head[v];
head[v]=s_edge;
}
void dfs(int u,int fa)
{
int son=0;
dfn[u]=low[u]=++times;
vs[u]=1;
for(int e=head[u];e;e=edge[e].nxt)
{
int v=edge[e].v;
if(!vs[v])
{
son++;
dfs(v,u);
low[u]=Min(low[u],low[v]);
if((u==root&&son>1)||(u!=root&&low[v]>=dfn[u]))//low[v]>dfn[u]!!!
cut[u]++;
}
else if(v!=fa)
low[u]=Min(low[u],dfn[v]);
}
}
void init()
{
memset(head,0,sizeof(head));
memset(cut,0,sizeof(cut));
memset(vs,0,sizeof(vs));
memset(dfn,0,sizeof(dfn));
s_edge=0;
times=0;
}
int main()
{
int n,m,i,j;
while(~scanf("%d%d",&n,&m))
{
if(n==0&&m==0)
break;
if(m==0)
{printf("%d\n",n-1);continue;}
init();
while(m--)
{
scanf("%d%d",&i,&j);
addedge(i,j);
}
int ans=0,MAX=0;
for(i=0;i<n;i++)
{
if(!vs[i])
{
root=i;
dfs(i,-1);
ans++;
}
MAX=Max(MAX,cut[i]);
}
printf("%d\n",MAX+ans);
}
return 0;
}

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