#include //#include using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } struct Edge { int to; long long cost; Edge(int _to, long long _cost) :to(_to), cost(_cost) {} }; vectorg[200005]; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m, l; cin >> n >> m >> l; vectorr(l); rep(i, l)cin >> r[i], r[i]--; vectora(m), b(m), c(m); rep(i, m) { cin >> a[i] >> b[i] >> c[i]; a[i]--; b[i]--; g[a[i]].emplace_back(b[i], c[i]); g[b[i]].emplace_back(a[i], c[i]); } vector> dist(l * 2, vector(n, LINF)); rep(i, l * 2) {// dikstra int st = 0; if (0 == i % 2)st = a[r[i / 2]]; else st = b[r[i / 2]]; priority_queue, greater

> q; q.push({ 0, st }); dist[i][st] = 0; while (!q.empty()) { auto tmp = q.top(); q.pop(); long long cost = tmp.first; int pos = tmp.second; if (cost > dist[i][pos]) continue; for (Edge e : g[pos]) { long long ncost = cost + e.cost; int npos = e.to; if (chmin(dist[i][npos], ncost)) q.push({ ncost, npos }); } } } vector>> dp(1 << l, vector>(l, vector(2, LINF))); rep(i, l) { dp[1 << i][i][0] = dist[2 * i + 1][0] + c[r[i]]; dp[1 << i][i][1] = dist[2 * i + 0][0] + c[r[i]]; } rep(i, 1 << l) rep(j, l)rep(k, 2) { if (LINF == dp[i][j][k])continue; rep(nj, l) { if (1 & (i >> nj))continue; int ni = i | (1 << nj); rep(nk, 2) { int st, ed; if (0 == k)st = j * 2; else st = j * 2 + 1; if (0 == nk)ed = b[r[nj]]; else ed = a[r[nj]]; long long ncost = dp[i][j][k] + dist[st][ed] + c[r[nj]]; chmin(dp[ni][nj][nk], ncost); } } } long long ans = LINF; rep(i, l) rep(j, 2) { long long sub = dp[(1 << l) - 1][i][j]; sub += dist[i * 2 + j][n - 1]; chmin(ans, sub); } cout << ans << endl; return 0; }