#include using namespace std; using ll = long long; using ld = long double; template using V = vector; using VI = V; using VL = V; using VS = V; template using PQ = priority_queue, greater>; using graph = V; template using w_graph = V>>; #define FOR(i,a,n) for(int i=(a);i<(n);++i) #define eFOR(i,a,n) for(int i=(a);i<=(n);++i) #define rFOR(i,a,n) for(int i=(n)-1;i>=(a);--i) #define erFOR(i,a,n) for(int i=(n);i>=(a);--i) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define inside(h,w,y,x) (unsigned(y) inline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; }return false; } template inline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; }return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } template inline istream& operator>>(istream& is, V& v) { for (auto& a : v)is >> a; return is; } template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline V vec(size_t a) { return V(a); } template inline V defvec(T def, size_t a) { return V(a, def); } template inline auto vec(size_t a, Ts... ts) { return V(ts...))>(a, vec(ts...)); } template inline auto defvec(T def, size_t a, Ts... ts) { return V(def, ts...))>(a, defvec(def, ts...)); } template inline void print(const T& a) { cout << a << "\n"; } template inline void print(const T& a, const Ts&... ts) { cout << a << " "; print(ts...); } template inline void print(const V& v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } template inline void print(const V>& v) { for (auto& a : v)print(a); } template inline constexpr const T cumsum(const V& a, int l, int r) { return 0 <= l && l <= r && r < a.size() ? a[r] - (l == 0 ? 0 : a[l - 1]) : 0; }//[l,r] template inline constexpr const T min(const V& v) { return *min_element(all(v)); } template inline constexpr const T max(const V& v) { return *max_element(all(v)); } int main() { init(); int n, m, k; cin >> n >> m >> k; VI r(k), q(m, -1); FOR(i, 0, k) { cin >> r[i]; --r[i]; q[r[i]] = i; } V> edge(m); V>> g(n); FOR(i, 0, m) { auto& [a, b, c] = edge[i]; cin >> a >> b >> c; --a, --b; if (q[i] == -1) { g[a].emplace_back(b, c); g[b].emplace_back(a, c); } } auto dis = defvec(LLINF, k, 2, n); auto wf = defvec(LLINF, k * 2, k * 2); FOR(i, 0, k)FOR(dir, 0, 2) { auto [a0, b0, c0] = edge[r[i]]; int s = dir == 0 ? a0 : b0; dis[i][dir][s] = 0; PQ> dik; dik.emplace(0, s); while (!dik.empty()) { auto [d, cur] = dik.top(); dik.pop(); if (dis[i][dir][cur] < d)continue; for (auto [to, cost] : g[cur]) { if (!chmin(dis[i][dir][to], d + cost))continue; dik.emplace(d + cost, to); } } FOR(j, 0, k) { chmin(wf[i * 2 + dir][j * 2 + 0], dis[i][dir][get<0>(edge[r[j]])]); chmin(wf[i * 2 + dir][j * 2 + 1], dis[i][dir][get<1>(edge[r[j]])]); } } FOR(p, 0, k * 2)FOR(i, 0, k * 2)FOR(j, 0, k * 2)chmin(wf[i][j], wf[i][p] + wf[p][j]); auto dp = defvec(LLINF, k, 2, 1 << k); PQ> dik; FOR(i, 0, k)FOR(dir, 0, 2) { dp[i][dir][0] = dis[i][dir][0]; dik.emplace(dis[i][dir][0], i, dir, 0); } while (!dik.empty()) { auto [d, i, dir, bit] = dik.top(); dik.pop(); if (dp[i][dir][bit] < d)continue; auto [a0, b0, c0] = edge[r[i]]; if (chmin(dp[i][dir ^ 1][bit | (1 << i)], d + c0)) { dik.emplace(d + c0, i, dir ^ 1, bit | (1 << i)); } FOR(j, 0, k)FOR(dir2, 0, 2) { if (chmin(dp[j][dir2][bit], d + wf[i * 2 + dir][j * 2 + dir2])) { dik.emplace(d + wf[i * 2 + dir][j * 2 + dir2], j, dir2, bit); } } } ll ans = LLINF; FOR(i, 0, k)FOR(dir, 0, 2)chmin(ans, dp[i][dir][(1 << k) - 1] + dis[i][dir][n - 1]); print(ans); return 0; }