#include using namespace std; using ll = long long; int main(){ ios::sync_with_stdio(false); cin.tie(0); int n, m, k, u, v, c, ans = 1 << 30; cin >> n >> m >> k; vector r(k); vector> S(2 * k); vector> edge(m); vector> A(n, vector(n, 1 << 29)); for(auto &&v : r) cin >> v, v--; for(int i = 0; i < m; i++){ cin >> u >> v >> c; u--, v--; A[u][v] = A[v][u] = c; edge[i] = make_tuple(u, v, c); } for(int i = 0; i < n; i++) A[i][i] = 0; for(int k = 0; k < n; k++){ for(int i = 0; i < n; i++){ for(int j = 0; j < n; j++){ A[i][j] = min(A[i][j], A[i][k] + A[k][j]); } } } for(int i = 0; i < k; i++){ tie(u, v, c) = edge[r[i]]; S[i + i] = make_pair(u, c); S[i + i + 1] = make_pair(v, c); } vector> dp(1 << 2 * k, vector(2 * k, 1 << 29)); for(int i = 0; i < S.size(); i++) dp[1 << i][i] = A[0][S[i].first]; for(int i = 0; i < dp.size(); i++){ for(int j = 0; j < dp[i].size(); j++){ if(~i >> j & 1) continue; int pj = j ^ 1; if(~i >> pj & 1){ dp[i | (1 << pj)][pj] = min(dp[i | (1 << pj)][pj], dp[i][j] + S[j].second); continue; } for(int k = 0; k < dp[i].size(); k++){ dp[i | (1 << k)][k] = min(dp[i | (1 << k)][k], dp[i][j] + A[S[j].first][S[k].first]); } } } for(int i = 0; i < S.size(); i++) ans = min(ans, dp.back()[i] + A[S[i].first][n - 1]); cout << ans << '\n'; }