#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main() { ll N, M, K; cin >> N >> M >> K; vector R(K); for (ll i = 0; i < K; i++) { cin >> R[i]; R[i]--; } vector A(M); vector B(M); vector C(M); for (ll i = 0; i < M; i++) { cin >> A[i] >> B[i] >> C[i]; A[i]--; B[i]--; } vector> graph(N, vector(0)); for (ll i = 0; i < M; i++) { graph[A[i]].push_back(make_pair(B[i], i)); graph[B[i]].push_back(make_pair(A[i], i)); } vector road_num(M, -1); for (ll i = 0; i < K; i++) { road_num[R[i]] = i; } ll INF = 10000000000000023; vector> dist(N, vector(1 << K, INF)); dist[0][0] = 0; priority_queue, greater> pque; pque.push(make_pair(0, 0)); while (pque.size()) { pll pp = pque.top(); pque.pop(); ll d = pp.first; ll px = pp.second / (1 << K); ll py = pp.second % (1 << K); if (dist[px][py] < d) { continue; } for (pll np : graph[px]) { ll nx = np.first; ll nid = np.second; ll nd = C[nid]; ll ny = py; if (road_num[nid] != -1) { ny |= (1 << road_num[nid]); } if (dist[nx][ny] > d + nd) { dist[nx][ny] = d + nd; pque.push(make_pair(d + nd, nx * (1 << K) + ny)); } } } cout << dist[N - 1][(1 << K) - 1] << endl; }