#include<iostream>
#include<cstring>
#include<cstdio>
#include<queue>
#define ll long long
#define N 50005
#define INF (1LL<<60)
using namespace std;
struct Node{
    int v,next,value;
}node[N*2];
int cnt;
int head[N];
bool visit[N];
ll dis[N];
void add(int a,int b,int c){
    node[cnt].value = c;
    node[cnt].v = b;
    node[cnt].next = head[a];
    head[a] = cnt++;
}
bool spfa(int n){
    for(int i=1;i<=n;i++){
        visit[i] = 0;
        dis[i] = INF;
    }
    visit[1] = 1;
    dis[1] = 0;
    queue<int>q;
    q.push(1);
    while(!q.empty()){
        int u = q.front();
        q.pop();
        for(int i=head[u];i!=-1;i=node[i].next){
            int v = node[i].v;
            if(dis[v]>dis[u]+node[i].value){
                dis[v] = dis[u]+node[i].value;
                if(visit[v]==0){
                    visit[v] = 1;
                    q.push(v);
                }
            }
        }
        visit[u] = 0;
    }
    for(int i=1;i<=n;i++){
        if(dis[i]==INF){
            return false;
        }
    }
    return true; 
}
int main(){
    int t,v,e,a,b,c;
    ll ans; 
    int w[N];
    scanf("%d",&t);
    while(t--){
        scanf("%d%d",&v,&e);
        for(int i=1;i<=v;i++){
            scanf("%d",&w[i]);
        }
        cnt = 0;
        memset(head,-1,sizeof head);
        for(int i=1;i<=e;i++){
            scanf("%d%d%d",&a,&b,&c);
            add(a,b,c);
            add(b,a,c);
        }
        if(!spfa(v)){
            printf("No Answer\n");
            continue;
        }
        else{
            ans = 0;
            for(int i=1;i<=v;i++){
                ans += dis[i]*w[i];
            }
            printf("%lld\n",ans);
        }
    }
    return 0;
}