#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; template struct Edge { int src, dst; CostType cost; Edge(int src, int dst, CostType cost = 0) : src(src), dst(dst), cost(cost) {} inline bool operator<(const Edge &x) const { return cost != x.cost ? cost < x.cost : dst != x.dst ? dst < x.dst : src < x.src; } inline bool operator<=(const Edge &x) const { return !(x < *this); } inline bool operator>(const Edge &x) const { return x < *this; } inline bool operator>=(const Edge &x) const { return !(*this < x); } }; int main() { int n, m, k; cin >> n >> m >> k; vector r(m, -1); REP(i, k) { int ri; cin >> ri; --ri; r[ri] = i; } vector c(m); vector>> graph(n); REP(i, m) { int a, b; cin >> a >> b >> c[i]; --a; --b; graph[a].emplace_back(a, b, i); graph[b].emplace_back(b, a, i); } vector dist(n, vector(1 << k, LINF)); dist[0][0] = 0; priority_queue>, vector>>, greater>>> que; que.emplace(0, make_pair(0, 0)); while (!que.empty()) { const auto [cost, ij] = que.top(); que.pop(); const auto [i, j] = ij; if (cost > dist[i][j]) continue; for (const Edge& e : graph[i]) { const int nj = j | (r[e.cost] == -1 ? 0 : 1 << r[e.cost]); if (chmin(dist[e.dst][nj], dist[i][j] + c[e.cost])) que.emplace(dist[e.dst][nj], make_pair(e.dst, nj)); } } cout << dist[n - 1][(1 << k) - 1] << '\n'; return 0; }