// includes #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e9 + 7; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} vector > edge[100001]; typedef struct UnionFind_ { vector par; vector rank_; UnionFind_(int n): rank_(n, 0) { for(int i = 0; i < n; i++)par.push_back(i); } int find(int x) { if(par[x] == x)return x; else return par[x] = find(par[x]); } bool same(int x, int y) { if(find(x) == find(y))return true; else return false; } bool unite(int x, int y){ int xp = find(x); int yp = find(y); if(xp == yp)return false; if(rank_[xp] > rank_[yp])par[yp] = xp; else if(rank_[xp] < rank_[yp])par[xp] = yp; else { par[yp] = xp; rank_[xp]++; } return true; } } UnionFind; struct ed{ int a, b; ll c; ed(){} ed(int a, int b, ll c): a(a), b(b), c(c){} }; bool comp(const ed &a, const ed &b){ return a.c < b.c; } int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); int n, m, k; cin >> n >> m >> k; vector vec(m); ll all = 0; rep(i, m){ int a, b; ll c; cin >> a >> b >> c, a--, b--; vec[i] = ed(a, b, c); all += c; } ll res = 0; UnionFind uf(n); rep(i, k){ int e; cin >> e; e--; res += vec[e].c; uf.unite(vec[e].a, vec[e].b); } sort(all(vec), comp); for(int i = 0; i < m; i++){ if(!uf.same(vec[i].a, vec[i].b)){ uf.unite(vec[i].a, vec[i].b); res += vec[i].c; } } cout << all - res << endl; return 0; }