http://poj.org/problem?id=1511
//* @author: 82638882@163.com
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;
public class Main
{
static int[] cost;
static node[] edge,redge;
static int n;
static boolean[] used;
public static void main(String[] args) throws NumberFormatException, IOException
{
InputStreamReader is=new InputStreamReader(System.in);
BufferedReader in=new BufferedReader(is);
int h=Integer.parseInt(in.readLine());
while((h--)!=0)
{
String[] ss=in.readLine().split(" ");
n=Integer.parseInt(ss[0]);
edge=new node[n];
redge=new node[n];
cost=new int[n];
used=new boolean[n];
for(int i=0;i< n;i++)
{
edge[i]=new node(-1,-1);
redge[i]=new node(-1,-1);
}
int m=Integer.parseInt(ss[1]);
for(int i=0;i< m;i++)
{
ss=in.readLine().split(" ");
int x=Integer.parseInt(ss[0]);
int y=Integer.parseInt(ss[1]);
int w=Integer.parseInt(ss[2]);
insert(x,y,w);
}
long w=0;
w+=spfa(0);
w+=spfa(1);
System.out.println(w);
}
}
static void insert(int x,int y,int w)
{
x--;y--;
node temp=new node(y,w);
temp.next=edge[x].next;
edge[x].next=temp;
temp=new node(x,w);
temp.next=redge[y].next;
redge[y].next=temp;
}
static long spfa(int d)
{
node temp;
for(int i=0;i< n;i++)
cost[i]=2000000000;
Queue< Integer> qu=new LinkedList< Integer>();
qu.add(0);
cost[0]=0;
while(!qu.isEmpty())
{
int u=qu.poll();
used[u]=false;
if(d==0)temp=edge[u].next;
else temp=redge[u].next;
while(temp!=null)
{
if(cost[temp.v]>cost[u]+temp.w)
{
cost[temp.v]=cost[u]+temp.w;
if(!used[temp.v])
{
qu.add(temp.v);
used[temp.v]=true;
}
}
temp=temp.next;
}
}
long ans=0;
for(int i=0;i< n;i++)
ans+=cost[i];
return ans;
}
}
class node
{
int v,w;
node next=null;
public node(int vv,int ww)
{
v=vv;w=ww;
}
}
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