#include <bits/stdc++.h>

using namespace std;
using ll = long long;

static constexpr const ll inf = 1e15;

int main() {
    int t;
    cin >> t;
    while (t--) {
        int n,m,k;
        cin >> n >> m >> k;
        vector<bool> is_exit(n);
        for (int i = 0; i<k; i++) {
            int e;
            cin >> e;
            is_exit[--e] = true;
        }
        vector<int> d(n);
        for (int i = 0; i<n; i++) {
            cin >> d[i];
        }
        vector<vector<pair<int,ll>>> graph(n);
        for (int i = 0; i<m; i++) {
            int x,y;
            ll w;
            cin >> x >> y >> w;
            graph[--x].emplace_back(--y, w);
            graph[y].emplace_back(x, w);
        }
        vector<ll> ret(n, inf);
        vector<bool> marked(n, false);
        vector<multiset<ll>> dd(n);
        auto cmp = [&](int x, int y) {
            auto dx = *prev(end(dd[x]));
            auto dy = *prev(end(dd[y]));
            if (dx != dy) return dx < dy;
            return x < y;
        };
        set<int, decltype(cmp)> q(cmp);
        for (int i = 0; i<n; i++) {
            if (is_exit[i]) {
                dd[i].insert(0);
                q.insert(i);
                d[i] = 0;
            }
        }
        while (!q.empty()) {
            auto curr = *q.begin();
            q.erase(q.begin());
            marked[curr] = true;
            ret[curr] = *prev(end(dd[curr]));
            for (const auto& [neighbor, weight] : graph[curr]) {
                if (marked[neighbor]) continue;
                if (int(dd[neighbor].size()) > d[neighbor]) {
                    q.erase(neighbor);
                }
                dd[neighbor].insert(ret[curr] + weight);
                if (int(dd[neighbor].size()) > d[neighbor] + 1) {
                    dd[neighbor].erase(prev(end(dd[neighbor])));
                }
                if (int(dd[neighbor].size()) > d[neighbor]) {
                    q.insert(neighbor);
                }
            }
        }
        if (ret[0] >= inf) cout << -1 << '\n';
        else cout << ret[0] << '\n';
    }
}