#include <bits/stdc++.h> #define inf 1073741823 using namespace std; using ll = long long; using Pair = pair<int, int>; vector<int> dijkstra(int sv, vector<vector<Pair> >& graph, int N){ vector<int> dp(N, inf); priority_queue<Pair, vector<Pair>, greater<Pair> > pq = {}; pq.push({0, sv}); while(!pq.empty()){ auto[d, v] = pq.top(); pq.pop(); if(dp[v] <= d){ continue; } dp[v] = d; for(auto&[nv, nd] : graph[v]){ pq.push({d + nd, nv}); } } return dp; } int main(){ int N, M, K; cin >> N >> M >> K; vector<int> R(K); for(auto& x : R){ cin >> x; --x; } vector<vector<int> > edges(M); vector<vector<Pair> > graph(N, vector<Pair>({})); for(int i = 0; i < M; ++i){ int x, y, z; cin >> x >> y >> z; --x, --y; edges[i] = {x, y, z}; graph[x].push_back({y, z}); graph[y].push_back({x, z}); } unordered_set<int> V = {}; V.insert(0), V.insert(N - 1); for(auto r : R){ V.insert(edges[r][0]); V.insert(edges[r][1]); } vector<vector<int> > dist(N, vector<int>({})); for(auto& sv : V){ dist[sv] = dijkstra(sv, graph, N); } vector<vector<vector<int> > > dp(1 << K, vector<vector<int> >(K, vector<int>(2, inf))); for(int i = 0; i < K; ++i){ for(int j = 0; j < 2; ++j){ dp[1 << i][i][j] = dist[0][edges[R[i]][j ^ 1]] + edges[R[i]][2]; } } for(int bit = 1; bit < (1 << K); ++bit){ for(int s = 0; s < K; ++s){ if((bit & (1 << s)) == 0){ continue; } for(int t = 0; t < K; ++t){ if(bit & (1 << t)){ continue; } int nbit = bit | (1 << t); int c = edges[R[t]][2]; for(int x = 0; x < 2; ++x){ for(int y = 0; y < 2; ++y){ int p = edges[R[s]][x], q = edges[R[t]][y ^ 1]; int d = dp[bit][s][x] + dist[p][q] + c; if(dp[nbit][t][y] <= d){ continue; } dp[nbit][t][y] = d; } } } } } int ans = inf; for(int i = 0; i < K; ++i){ for(int j = 0; j < 2; ++j){ int d = dp[(1 << K) - 1][i][j] + dist[edges[R[i]][j]][N - 1]; if(ans <= d){ continue; } ans = d; } } cout << ans << endl; return 0; }