//
// main.cpp
// Richard
//
// Created by 邵金杰 on 16/8/16.
// Copyright © 2016年 邵金杰. All rights reserved.
//
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<queue>
using namespace std;
const int maxV=10100;
const int maxE=1000100;
const int INF=1000000000;
struct edge{
int from,to,c,cost,next;
};
edge edges[maxE];
int dist[maxV],pre[maxV],head[maxV];;
int total;
void add(int u,int v,int c,int cost)
{
edges[total].from=u;
edges[total].to=v;
edges[total].c=c;
edges[total].cost=cost;
edges[total].next=head[u];
head[u]=total++;
edges[total].from=v;
edges[total].to=u;
edges[total].c=0;
edges[total].cost=-cost;
edges[total].next=head[v];
head[v]=total++;
}
bool spfa(int s,int t)
{
memset(pre,-1,sizeof(pre));
for(int i=0;i<=t;i++)
dist[i]=INF;
dist[s]=0;
queue<int> q;
q.push(s);
while(!q.empty())
{
int u=q.front();
q.pop();
for(int i=head[u];i!=-1;i=edges[i].next)
{
if(edges[i].c>0)
{
int v=edges[i].to;
if(dist[v]>dist[u]+edges[i].cost)
{
dist[v]=dist[u]+edges[i].cost;
pre[v]=i;
q.push(v);
}
}
}
}
return dist[t]!=INF;
}
int solve(int s,int t)
{
int mindist=0,flow;
int flowsum=0;
while(spfa(s,t))
{
flow=INF;
for(int i=pre[t];i!=-1;i=pre[edges[i].from])
{
flow=min(flow,edges[i].c);
}
flowsum+=flow;
for(int i=pre[t];i!=-1;i=pre[edges[i].from])
{
edges[i].c-=flow;
edges[i^1].c+=flow;
}
mindist+=dist[t];
}
return mindist;
}
int main()
{
int n,m;
while(scanf("%d%d",&n,&m)!=EOF)
{
memset(head,-1,sizeof(head));
total=0;
int a,b,c;
add(0,1,2,0);
add(n,n+1,2,0);
for(int i=0;i<m;i++)
{
scanf("%d%d%d",&a,&b,&c);
add(a,b,1,c);
add(b,a,1,c);
}
printf("%d\n",solve(0,n+1));
}
return 0;
}
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