/*
[templates]: 
duipai
spjdp
compre
addhis
*/
#include<bits/stdc++.h>
using namespace std;
#define int long long
//use ll instead of int.
#define f(i, a, b) for(int i = (a); i <= (b); i++)
#define cl(i, n) i.clear(),i.resize(n);
#define endl '\n'
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int inf = 1e15;
//#define cerr if(false)cerr
//#define freopen if(false)freopen
mt19937 rng(time(0)); 
int rnd(int l, int r) {return rng() % (r-l+1) + l; }
#define watch(x) cerr  << (#x) << ' '<<'i'<<'s'<<' ' << x << endl
void pofe(int number, int bitnum) {
    string s; f(i, 0, bitnum) {s += char(number & 1) + '0'; number >>= 1; } 
    reverse(s.begin(), s.end()); cerr << s << endl; 
    return;
}
template <typename TYP> void cmax(TYP &x, TYP y) {if(x < y) x = y;}
template <typename TYP> void cmin(TYP &x, TYP y) {if(x > y) x = y;}
//调不出来给我对拍！
//use std::array.
int d[100010];vector<pii>g[100010]; int dep[100010];int deg[100010];
signed main() {
    ios::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
    //freopen();
    //freopen();
    //time_t start = clock();
    //think twice,code once.
    //think once,debug forever.
    int T; cin >> T;
    while(T--) {
        int n,m,k;cin>>n>>m>>k;f(i,1,n)g[i].clear(),dep[i]=inf,deg[i]=0;
        vector<int>e;
        f(i,1,k){int _; cin>>_; e.push_back(_);}
        f(i,1,n)cin>>d[i];
        f(i,1,m){int u,v,w;cin>>u>>v>>w;g[u].push_back({v,w});g[v].push_back({u,w});}
        priority_queue<pii>q; for(int i:e){q.push({0,i});d[i]=0;}
        while(!q.empty()) { //这里有点疑问，pq 能否这么用
            pii it = q.top(); int cost=-it.first, now=it.second;q.pop();
            //cerr<<deg[now]<<" "<<d[now]<<endl;
            if(deg[now]==d[now]+1)continue;
            deg[now]++; 
            if(deg[now]==d[now]+1) {
                dep[now]=cost;
         //       cerr<<now<<" "<<cost<<endl;
                for(pii jt : g[now]) {
                    int v=jt.first,w=jt.second;
                    q.push({-cost-w,v});
                }
            }
        }
        cout<<(dep[1]<inf?dep[1]:-1)<<endl;
    }
    //time_t finish = clock();
    //cout << "time used:" << (finish-start) * 1.0 / CLOCKS_PER_SEC <<"s"<< endl;
    return 0;
}