#include const long long INF = 1LL << 60; const long long MOD = 1000000007; const double PI = acos(-1.0); #define rep(i, n) for (ll i = 0; i < (n); ++i) #define rep1(i, n) for (ll i = 1; i <= (n); ++i) #define rrep(i, n) for (ll i = (n - 1); i >= 0; --i) #define perm(c) sort(ALL(c));for(bool c##p=1;c##p;c##p=next_permutation(ALL(c))) #define ALL(obj) (obj).begin(), (obj).end() #define RALL(obj) (obj).rbegin(), (obj).rend() #define pb push_back #define to_s to_string #define len(v) (ll)v.size() #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define print(x) cout << (x) << '\n' #define drop(x) cout << (x) << '\n', exit(0) #define debug(x) cout << #x << ": " << (x) << '\n' using namespace std; using ll = long long; typedef pair P; typedef vector vec; typedef vector> vec2; typedef vector>> vec3; template inline bool chmax(S &a, const T &b) { if (a inline bool chmin(S &a, const T &b) { if (b ostream &operator << (ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator >> (istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T1, typename T2, typename T3 > ostream &operator << (ostream &os, const tuple< T1, T2, T3 > &t) { os << get<0>(t) << " " << get<1>(t) << " " << get<2>(t); return os; } template< typename T1, typename T2, typename T3 > istream &operator >> (istream &is, tuple< T1, T2, T3 > &t) { is >> get<0>(t) >> get<1>(t) >> get<2>(t); return is; } template< typename T > ostream &operator << (ostream &os, const vector< T > &v){ for (int i = 0; i < (int)v.size(); ++i) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator >> (istream &is, vector< T > &v){ for(T &in : v) is >> in; return is; } template< typename T > ostream &operator << (ostream &os, const set< T > &st){ int ct = 0; for(auto& s : st) cout << s << (++ct != st.size() ? " " : ""); return os; } /*--------------------------------- Tools ------------------------------------------*/ template< typename T > vector cumsum(const vector &X){ vector res(X.size() + 1, 0); for(int i = 0; i < X.size(); ++i) res[i + 1] += res[i] + X[i]; return res; } template< typename S, typename T, typename F> pair bisearch(S left, T right, F f) { while(abs(right - left) > 1){ T mid = (right + left) / 2; if(f(mid)) right = mid; else left = mid; } return {left, right}; } template< typename S, typename T, typename F> double trisearch(S left, T right, F f, int maxLoop = 90){ double low = left, high = right; while(maxLoop--){ double mid_left = high / 3 + low * 2 / 3; double mid_right = high * 2 / 3 + low / 3; if(f(mid_left) >= f(mid_right)) low = mid_left; else high = mid_right; } return (low + high) * 0.5; } template< typename F > ll ternarySearch(ll L, ll R, F f) { //[L, R) ll lo = L - 1, hi = R - 1; while (lo + 1 != hi) { ll mi = (lo + hi) / 2; if (f(mi) <= f(mi + 1)) hi = mi; else lo = mi; } return hi; } /*--------------------------------- Graph ------------------------------------------*/ struct Edge { ll from, to, weight; Edge() : from(0), to(0), weight(0) {} Edge(ll f, ll t, ll w) : from(f), to(t), weight(w) {} }; using Edges = vector; using Graph = vector; void add_edge(Graph &g, ll a, ll b, ll w = 1){ g[a].emplace_back(a, b, w); g[b].emplace_back(b, a, w); } void add_arrow(Graph &g, ll a, ll b, ll w = 1){ g[a].emplace_back(a, b, w); } template< typename T > vector dijkstra(Graph &g, T s, bool restore = false){ vector dist(g.size(), INF); priority_queue, vector>, greater>> que; dist[s] = 0; que.emplace(dist[s], s); vector prev(g.size(), -1); while(!que.empty()){ T cost, idx; tie(cost, idx) = que.top(); que.pop(); if(dist[idx] < cost) continue; for(auto &e : g[idx]){ auto next_cost = cost + e.weight; if(dist[e.to] <= next_cost) continue; dist[e.to] = next_cost; if(restore) prev[e.to] = e.from; que.emplace(dist[e.to], e.to); } } if(restore) return prev; return dist; } vector shortest_path(Graph &g, ll start, ll goal){ vector prev = dijkstra(g, start, true); vector path; for (int cur = goal; cur != -1; cur = prev[cur]) path.push_back(cur); reverse(path.begin(), path.end()); return path; } vector topological_sort(const Graph &G){ vec ans; ll N = len(G); vec ind(N); rep(i, N) for (auto &e : G[i]) ind[e.to]++; queue que; rep(i, N) if (!ind[i]) que.push(i); while(!que.empty()){ ll now = que.front(); ans.pb(now); que.pop(); for(auto& e : G[now]){ ind[e.to]--; if(!ind[e.to]) que.push(e.to); } } return ans; } struct UnionFind { vector par; vector rank; vector num; UnionFind(int N) : par(N),rank(N),num(N) { for(int i = 0; i < N; i++){ par[i] = i; rank[i] = 0; num[i] = 1; } } void init(int N){ for(int i = 0; i < N; i++){ par[i] = i; rank[i] = 0; num[i] = 1; } } int root(int x) { if (par[x] == x) return x; return par[x] = root(par[x]); } int ranker(int x){ x = root(x); return rank[x]; } int number(int x){ x = root(x); return num[x]; } void unite(int x, int y){ int rx = root(x); int ry = root(y); if ( rx == ry ) return; if ( rank[rx] < rank[ry] ){ par[rx] = ry; num[ry] += num[rx]; num[rx] = 0; } else { par[ry] = rx; num[rx] += num[ry]; num[ry] = 0; if ( rank[rx] == rank[ry] ) rank[rx]++; } } bool same(int x, int y){ return root(x) == root(y); } }; /*------------------------------- Main Code Here -----------------------------------------*/ int main() { ll N, M, K; cin >> N >> M >> K; vec A(M), B(M), C(M); rep(i, M){ ll a, b, c; cin >> a >> b >> c; --a, --b; A[i] = a, B[i] = b, C[i] = c; } set st; ll ans = 0; UnionFind UF(N); rep(i, K){ ll e; cin >> e; --e; UF.unite(A[e], B[e]); st.insert(e); } vector> edges; rep(i, M){ ll a = UF.root(A[i]), b = UF.root(B[i]), c = C[i]; if(st.count(i)) continue; if(a == b){ ans += c; continue; } edges.pb({c, a, b}); } sort(ALL(edges)); for(auto e : edges){ auto [c, a, b] = e; if(UF.same(a, b)){ ans += c; continue; } UF.unite(a, b); } print(ans); return 0; }