#include using namespace std; bool chmin(int &x,int y) { if(x > y) { x = y; return true; } return false; } int main() { int N,M,K; cin >> N >> M >> K; vectorR(K); for(int i = 0; i < K; i++) { cin >> R[i]; R[i]--; } vector>>road(N); vector>R2; for(int i = 0; i < M; i++) { int A,B,C; cin >> A >> B >> C; A--; B--; int id = -1; for(int j = 0; j < K; j++) { if(R[j] == i) { id = j; } } if(id != -1) { R2.push_back({A,id}); R2.push_back({B,id}); } road[A].push_back({B,C,id}); road[B].push_back({A,C,id}); } R2.push_back({0,-1}); R2.push_back({N-1,-1}); vector>dist(2*K+2,vector(N,1001001001)); for(int t = 0; t < 2*K+2; t++) { priority_queue,vector>,greater>>que; dist[t][R2[t].first] = 0; que.push({0,t,R2[t].first}); while (!que.empty()) { auto x = que.top(); que.pop(); if(dist[x[1]][x[2]] != x[0]) { continue; } for(auto i:road[x[2]]) { int to1 = t; int to2 = i[0]; if(chmin(dist[to1][to2],i[1]+x[0])) { que.push({i[1]+x[0],to1,to2}); } } } } vector>>road2(2*K+2); for(int i = 0; i < 2*K+2; i++) { for(int j = 0; j < 2*K+2; j++) { road2[i].push_back({j,dist[i][R2[j].first],-1}); } } for(int i = 0; i < N; i++) { for(int j = 0; j < road[i].size(); j++) { if(road[i][j][2] != -1) { int id1 = 0,id2 = 0; for(int k = 0; k < 2*K+2; k++) { if(i == R2[k].first) { id1 = k; } if(road[i][j][0] == R2[k].first) { id2 = k; } } road2[id1].push_back({id2,road[i][j][1],road[i][j][2]}); } } } vector>dist2(2*K+2,vector(1 << K,1001001001)); priority_queue,vector>,greater>>que; dist2[2*K][0] = 0; que.push({0,2*K,0}); while (!que.empty()) { auto x = que.top(); que.pop(); if(dist2[x[1]][x[2]] != x[0]) { continue; } for(auto i:road2[x[1]]) { int to1 = i[0]; int to2 = x[2]; if(i[2] != -1) { to2 |= (1 << i[2]); } if(chmin(dist2[to1][to2],i[1]+x[0])) { que.push({i[1]+x[0],to1,to2}); } } } cout << dist2[2*K+1][(1 << K)-1] << endl; }