//ダイクストラ高速化弱め #include #include #include #include #define rep(i, l, n) for (int i = (l); i < (n); i++) #define all(x) x.begin(), x.end() using namespace std; using Pair = pair; template using V = vector; template using VV = V >; const int inf = 2000000000; int dijkstra(int n, int start, int finish, VV& route) { V path(n, -1); priority_queue, greater > pq; pq.push({ 0,start }); while (pq.size()) { Pair p = pq.top(); pq.pop(); int d = p.first; int v = p.second; if (path[v] == -1) { path[v] = d; if (v == finish) { break; } rep(i, 0, route[v].size()) { Pair p = { d + route[v][i].second,route[v][i].first }; pq.push(p); } } } return path[finish]; } int main(void) { int N, M, K; cin >> N >> M >> K; V R(K); rep(i, 0, K) { cin >> R[i]; R[i] -= 1; } sort(all(R)); VV edge(M, V(3)); VV route(N, V(0)); rep(i, 0, M) { rep(j, 0, 3) { cin >> edge[i][j]; } edge[i][0] -= 1; edge[i][1] -= 1; route[edge[i][0]].push_back({ edge[i][1],edge[i][2] }); route[edge[i][1]].push_back({ edge[i][0],edge[i][2] }); } int ans = inf; int rsum = 0; rep(i, 0, R.size()) { rsum += edge[R[i]][2]; } VV dist(N, V(N, inf)); V > dp(1 << K, VV(K, V(2, inf))); rep(i, 0, K) { rep(j, 0, 2) { int p = 0; int q = edge[R[i]][j]; if (dist[p][q] == inf) { dist[p][q] = dist[q][p] = dijkstra(N, p, q, route); } dp[1 << i][i][j] = rsum + dist[p][q]; } } rep(bit, 1, 1 << K) { rep(s, 0, K) { if ((bit & (1 << s)) == 0) { continue; } rep(i, 0, 2) { rep(t, 0, K) { if (bit & (1 << t)) { continue; } int b = bit | (1 << t); rep(j, 0, 2) { int p = edge[R[s]][i]; int q = edge[R[t]][j]; if (dist[p][q] == inf) { dist[p][q] = dist[q][p] = dijkstra(N, p, q, route); } int d = dp[bit][s][i ^ 1] + dist[p][q]; if (dp[b][t][j] > d) { dp[b][t][j] = d; } } } } } } ans = inf; rep(i, 0, K) { rep(j, 0, 2) { int p = edge[R[i]][j]; int q = N - 1; if (dist[p][q] == inf) { dist[p][q] = dist[q][p] = dijkstra(N, p, q, route); } int d = dp[(1 << K) - 1][i][j ^ 1] + dist[p][q]; if (ans > d) { ans = d; } } } cout << ans << endl; return 0; }