题意:删去一个点之后,最多能够形成多少个连通块
其实就是运用Tarjan算法,用割点割边的模板搞一发
割点:删去该点之后,原图的连通块增加
割边:删去该边之后,原图的连通块增加
用bin神代码:
#include<iostream>
#include<cstdio>
#include<stdio.h>
#include<cstdlib>
#include<stdlib.h>
#include<algorithm>
#include<string.h>
#include<cstring>
using namespace std;
const int maxn=10010;
const int maxm=100010;
struct Edge{
int to,nxt;
bool cut;
}edge[maxm];
int head[maxn],tot;
int Low[maxn],DFN[maxn],Stack[maxn],Belong[maxn];
int Index,top,block;
bool Instack[maxn];
bool cut[maxn];
int add_block[maxn];
int bridge;
void addedge(int u,int v){
edge[tot].to=v;
edge[tot].nxt=head[u];
edge[tot].cut=false;
head[u]=tot++;
}
void Tarjan(int u,int pre){
int v;
Low[u]=DFN[u]=++Index;
Stack[top++]=u;
Instack[u]=true;
int son=0;
int pre_cnt=0;
for(int i=head[u];i!=-1;i=edge[i].nxt){
v=edge[i].to;
if (v==pre&&pre_cnt==0){
pre_cnt++;
continue;
}
if (!DFN[v]){
son++;
Tarjan(v,u);
if (Low[u]>Low[v]) Low[u]=Low[v];
if (Low[v]>DFN[u]){
bridge++;
edge[i].cut=true;
edge[i^1].cut=true;
}
if (u!=pre&&Low[v]>=DFN[u]){
cut[u]=true;
add_block[u]++;
}
}
else if (Low[u]>DFN[v])
Low[u]=DFN[v];
}
if (u==pre&&son>1) cut[u]=true;
if (u==pre) add_block[u]=son-1;
Instack[u]=false;
top--;
}
void solve(int N){
memset(DFN,0,sizeof(DFN));
memset(Instack,0,sizeof(Instack));
memset(add_block,0,sizeof(add_block));
memset(cut,false,sizeof(cut));
Index=top=0;
int cnt=0;
for(int i=1;i<=N;i++)
if (!DFN[i]){
Tarjan(i,i);
cnt++;
}
int ans=0;
for(int i=1;i<=N;i++)
ans=max(ans,cnt+add_block[i]);
printf("%d\n",ans);
}
void init(){
tot=0;
memset(head,-1,sizeof(head));
}
int main(){
int n,m,u,v;
while(scanf("%d%d",&n,&m)!=EOF){
if (n==0&&m==0) break;
init();
while(m--){
scanf("%d%d",&u,&v);
u++;v++;
addedge(u,v);
addedge(v,u);
}
solve(n);
}
return 0;
}