图论--网络流--最小费用流最大流模板
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<queue>
#include<vector>
#define INF 1e9
using namespace std;
const int maxn= 1000+10;
struct Edge
{
int from,to,cap,flow,cost;
Edge(){}
Edge(int f,int t,int c,int fl,int co):from(f),to(t),cap(c),flow(fl),cost(co){}
};
struct MCMF
{
int n,m,s,t;
vector<Edge> edges;
vector<int> G[maxn];
bool inq[maxn];
int d[maxn];
int p[maxn];
int a[maxn];
void init(int n,int s,int t)
{
this->n=n, this->s=s ,this->t=t;
edges.clear();
for(int i=0;i<n;++i) G[i].clear();
}
void AddEdge(int from,int to,int cap,int cost)
{
edges.push_back(Edge(from,to,cap,0,cost));
edges.push_back(Edge(to,from,0,0,-cost));
m = edges.size();
G[from].push_back(m-2);
G[to].push_back(m-1);
}
bool BellmanFord(int &flow,int &cost)
{
for(int i=0;i<n;++i) d[i]=INF;
memset(inq,0,sizeof(inq));
queue<int> Q;
d[s]=0,inq[s]=true,a[s]=INF,p[s]=0;
Q.push(s);
while(!Q.empty())
{
int u=Q.front(); Q.pop();
inq[u]=false;
for(int i=0;i<G[u].size();++i)
{
Edge &e=edges[G[u][i]];
if(e.cap>e.flow && d[e.to]>d[u]+e.cost)
{
d[e.to] = d[u]+e.cost;
p[e.to] = G[u][i];
a[e.to]= min(a[u], e.cap-e.flow);
if(!inq[e.to]) { inq[e.to]=true; Q.push(e.to); }
}
}
}
if(d[t]==INF) return false;
flow += a[t];
cost += a[t]*d[t];
int u=t;
while(u!=s)
{
edges[p[u]].flow +=a[t];
edges[p[u]^1].flow -=a[t];
u=edges[p[u]].from;
}
return true;
}
int solve()
{
int flow=0,cost=0;
while(BellmanFord(flow,cost));
return cost;
}
}MM;
int main()
{
int n,m;
while(scanf("%d%d",&n,&m)==2)
{
int src=0,dst=n+1;
MM.init(n+2,src,dst);
MM.AddEdge(src,1,2,0);
MM.AddEdge(n,dst,2,0);
while(m--)
{
int u,v,w;
scanf("%d%d%d",&u,&v,&w);
MM.AddEdge(u,v,1,w);
//MM.AddEdge(v,u,1,w);
}
printf("%d\n",2*MM.solve());
}
}