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tarjan+树形dp先用tarjan进行缩点,然后进行树形dp,dp[u]表示从u出发能经过的最多点(只限一条链),如果经过的点的个数是缩点后的点的个数则输出Yes
代码:
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <string>
#include <queue>
#include <algorithm>
#include <map>
#include <cmath>
#include <iomanip>
#define INF 99999999
typedef long long LL;
using namespace std;
const int MAX=1000+10;
int n,m,size,top,index,sum;
int uu[MAX*6],vv[MAX*6];
int head[MAX],dfn[MAX],low[MAX],stack[MAX];
int mark[MAX],dp[MAX];
struct Edge{
int v,next;
Edge(){}
Edge(int V,int NEXT):v(V),next(NEXT){}
}edge[MAX*6];
void Init(int num){
for(int i=0;i<=num;++i)head[i]=-1,dp[i]=mark[i]=0;
size=top=index=sum=0;
}
void InsertEdge(int u,int v){
edge[size]=Edge(v,head[u]);
head[u]=size++;
}
void tarjan(int u){
if(mark[u])return;
dfn[u]=low[u]=++index;
stack[++top]=u;
mark[u]=1;
for(int i=head[u];i != -1;i=edge[i].next){
int v=edge[i].v;
tarjan(v);
if(mark[v] == 1)low[u]=min(low[u],low[v]);
}
if(dfn[u] == low[u]){
++sum;
while(stack[top] != u)mark[stack[top]]=-1,low[stack[top--]]=low[u];
mark[u]=-1;
--top;
}
}
int dfs(int u){
if(dp[u])return dp[u];
int num=0;
for(int i=head[u];i != -1;i=edge[i].next){
int v=edge[i].v;
num=max(num,dfs(v));
}
return dp[u]=num+1;
}
int main(){
int t,u,v;
scanf("%d",&t);
while(t--){
scanf("%d%d",&n,&m);
Init(n);
for(int i=0;i<m;++i){
scanf("%d%d",&uu[i],&vv[i]);
InsertEdge(uu[i],vv[i]);
}
for(int i=1;i<=n;++i)tarjan(i);//缩点
for(int i=1;i<=n;++i)head[i]=-1;
size=0;
for(int i=0;i<m;++i){
if(low[uu[i]] == low[vv[i]])continue;
InsertEdge(low[uu[i]],low[vv[i]]);
}
bool flag=false;
for(int i=1;i<=n;++i){
if(dfs(low[i]) == sum){flag=true;break;}
}
if(flag)printf("Yes\n");
else printf("No\n");
}
return 0;
}
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