#define _CRT_SECURE_NO_WARNINGS #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; typedef vector vl; typedef pair pll; typedef vector > vpll; typedef vector vs; typedef long double ld; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } char uf[35]; char root(char i) { return uf[i] == i ? i : uf[i] = root(uf[i]); } int main() { int N, M, T; scanf("%d%d%d", &N, &M, &T); vector > g(N, vector(N, INF)); rep(i, N) g[i][i] = 0; vector > edges; rep(i, M) { int a, b, c; scanf("%d%d%d", &a, &b, &c), -- a, -- b; amin(g[a][b], c); amin(g[b][a], c); edges.push_back(mp(c, mp(a, b))); } rep(k, N) rep(i, N) rep(j, N) amin(g[i][j], g[i][k] + g[k][j]); vi required(T); vector important(N, false); rep(i, T) { int v; scanf("%d", &v), -- v; required[i] = v; important[v] = true; } if(T == 1) { puts("0"); return 0; } vi steiners; rep(i, N) if(!important[i]) steiners.push_back(i); int X = steiners.size(); int ans = INF; if(T >= 15) { sort(all(edges)); vector use(N, false); rep(usesteiners, 1 << X) { rep(i, N) use[i] = important[i]; int components = T; rep(i, X) if(usesteiners >> i & 1) { use[steiners[i]] = true; ++ components; } int totalcost = 0; rep(i, N) uf[i] = i; rep(i, edges.size()) { int x = edges[i].second.first, y = edges[i].second.second; if(use[x] && use[y]) { int xr = root(x), yr = root(y); if(xr != yr) { uf[xr] = yr; totalcost += edges[i].first; if(totalcost >= ans) break; // if((-- components) == 1) break; } } } amin(ans, totalcost); } }else { vector dp((1 << T) * N, INF); rep(p, T) rep(q, N) dp[(1 << p) * N + q] = g[required[p]][q]; rep(S, 1 << T) { if(!(S & (S-1))) continue; rep(p, N) { int x = INF; for(int E = (S-1) & S; E > 0; (-- E) &= S) amin(x, dp[E * N + p] + dp[(S - E) * N + p]); dp[S * N + p] = x; } rep(p, N) { int x = INF; rep(q, N) amin(x, dp[S * N + q] + g[p][q]); dp[S * N + p] = x; } } int U = (1 << T) - 1; rep(S, 1 << T) rep(q, N) amin(ans, dp[S * N + q] + dp[(U - S) * N + q]); } printf("%d\n", ans); return 0; }