P2169 正则表达式
然而题目和正则表达式没一点关系
强连通分量,缩点,spfa
先缩点,然后跑最短路。
emmm,堆优化SPFA了解一下?
// luogu-judger-enable-o2
#include<algorithm>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<queue>
#include<stack>
using namespace std;
int from[1000007],to[1000007],nex[1000007],val[1000007],head[200007];
int dfn[200007],low[200007],instack[200007],dfsnum,sccnum,belong[200007];
int dis[200007],inque[200007];
struct cmp{bool operator () (int &x,int &y){return dis[x]>dis[y];}};
priority_queue<int,vector<int>,cmp> q;
stack<int> s;
void tarjan(int u)
{
dfn[u]=++dfsnum;
low[u]=dfn[u];
instack[u]=true;
s.push(u);
for(int i=head[u];i;i=nex[i])
{
if(!dfn[to[i]])
{
tarjan(to[i]);
low[u]=min(low[u],low[to[i]]);
}
else if(instack[to[i]])
low[u]=min(low[u],dfn[to[i]]);
}
if(dfn[u]==low[u])
{
int v;
++sccnum;
do
{
v=s.top();
s.pop();
belong[v]=sccnum;
instack[v]=false;
}while(u!=v);
}
}
void spfa(int s)
{
int v;
dis[s]=0;
inque[s]=true;
q.push(s);
while(!q.empty())
{
v=q.top();
q.pop();
for(int i=head[v];i;i=nex[i])
{
if(dis[to[i]]>dis[v]+val[i])
{
dis[to[i]]=dis[v]+val[i];
if(!inque[to[i]])
{
inque[to[i]]=true;
q.push(to[i]);
}
}
}
}
}
int main()
{
ios::sync_with_stdio(false);
int n,m,x,y,z;
cin>>n>>m;
memset(dis,0x7f,sizeof(dis));
for(int i=1;i<=m;i++)
{
cin>>x>>y>>z;
from[i]=x;
to[i]=y;
val[i]=z;
nex[i]=head[x];
head[x]=i;
}
tarjan(1);
for(int i=1;i<=m;i++)
if(belong[from[i]]==belong[to[i]])
val[i]=0;
spfa(1);
cout<<dis[n];
return 0;
}