#include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } const ll INF = 1e+15; typedef pair P; struct edge{ int to; ll cost; }; vector dijkstra(int s, vector> G){ priority_queue, greater

> que; int n = G.size(); vector d(n, INF); d[s] = 0; que.push(P(0, s)); while(!que.empty()){ P p = que.top();que.pop(); int v = p.second; if(d[v] < p.first) continue; for(int i = 0; i < G[v].size(); i++){ edge e = G[v][i]; if(d[v] + e.cost < d[e.to]){ d[e.to] = d[v] + e.cost; que.push(P(d[e.to], e.to)); } } } return d; } using T = tuple; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, m, k; cin >> n >> m >> k; vector t(k); for(int i = 0; i < k; i++){ cin >> t[i]; t[i]--; } vector> g(n+2*k); 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(edge{b[i], c[i]}); g[b[i]].push_back(edge{a[i], c[i]}); } vector r = {0}; vector idx = {-1}; int cur = n; for(int j = 0; j < k; j++){ r.push_back(cur); idx.push_back(j); int i = t[j]; g[a[i]].push_back(edge{cur, 0}); g[cur].push_back(edge{b[i], c[i]}); cur++; r.push_back(cur); idx.push_back(j); g[b[i]].push_back(edge{cur, 0}); g[cur].push_back(edge{a[i], c[i]}); cur++; } r.push_back(n-1); idx.push_back(-1); auto h = vec2d(2*k+2, 2*k+2, 0ll); for(int i = 0; i <= 2*k+1; i++){ auto d = dijkstra(r[i], g); for(int j = 0; j <= 2*k+1; j++){ h[i][j] = d[r[j]]; } } auto dist = vec2d(2*k+2, 1<, greater> que; auto set_dist = [&](int v, int s, ll d){ if(chmin(dist[v][s], d)){ que.push(T(d, v, s)); } }; set_dist(0, 0, 0); while(!que.empty()){ auto [d, v, s] = que.top(); que.pop(); for(int i = 0; i <= 2*k+1; i++){ int t = s; if(idx[i] != -1) t |= (1<