#include using namespace std; struct edge{ int to; int cost; }; typedef tuple P; int main(){ int N, M, K; cin >> N >> M >> K; vector R(K); for(int i = 0; i < K; i++) { cin >> R[i]; R[i]--; } vector> G(N); vector A(M), B(M), C(M); for(int i = 0; i < M; i++){ cin >> A[i] >> B[i] >> C[i]; A[i]--; B[i]--; G[A[i]].push_back({B[i], C[i]}); G[B[i]].push_back({A[i], C[i]}); } int INF = 1000000000; vector> d(2 * K + 1, vector(N, INF)); for(int i = 0; i < K; i++){ priority_queue, greater

> q; d[i][A[R[i]]] = 0; q.push({0, A[R[i]]}); while(!q.empty()){ auto [dis, now] = q.top(); q.pop(); if(d[i][now] > dis) continue; for(auto [to, cost] : G[now]){ if(d[i][to] > dis + cost){ d[i][to] = dis + cost; q.push({d[i][to], to}); } } } d[i + K][B[R[i]]] = 0; q.push({0, B[R[i]]}); while(!q.empty()){ auto [dis, now] = q.top(); q.pop(); if(d[i + K][now] > dis) continue; for(auto [to, cost] : G[now]){ if(d[i + K][to] > dis + cost){ d[i + K][to] = dis + cost; q.push({d[i + K][to], to}); } } } } { priority_queue, greater

> q; d[2 * K][0] = 0; q.push({0, 0}); while(!q.empty()){ auto [dis, now] = q.top(); q.pop(); if(d[2 * K][now] > dis) continue; for(auto [to, cost] : G[now]){ if(d[2 * K][to] > dis + cost){ d[2 * K][to] = dis + cost; q.push({d[2 * K][to], to}); } } } } vector> dp(2 * K + 1, vector((1 << K), INF)); dp[2 * K][0] = 0; for(int bit = 0; bit < (1 << K); bit++){ for(int i = 0; i < 2 * K + 1; i++){ if(dp[i][bit] == INF) continue; for(int j = 0; j < 2 * K; j++){ if(j < K){ if(bit & (1 << j)) continue; dp[j][bit | (1 << j)] = min(dp[j][bit | (1 << j)], dp[i][bit] + d[i][B[R[j]]] + C[R[j]]); } else{ if(bit & (1 << (j - K))) continue; dp[j][bit | (1 << (j - K))] = min(dp[j][bit | (1 << (j - K))], dp[i][bit] + d[i][A[R[j - K]]] + C[R[j - K]]); } } } } int ans = INF; for(int i = 0; i < 2 * K + 1; i++){ //cout << dp[i][(1 << K) - 1] << ' ' << d[i][N - 1] << endl; ans = min(ans, dp[i][(1 << K) - 1] + d[i][N - 1]); } cout << ans << endl; }