// yukicoder: No.748 yuki国のお財布事情 // bal4u 2019.8.19 #include #include typedef long long ll; //// 入出力関係 #if 1 #define gc() getchar_unlocked() #else #define gc() getchar() #endif int in() { // 非負整数の入力 int n = 0, c = gc(); do n = 10 * n + (c & 0xf); while ((c = gc()) >= '0'); return n; } #define MAX 100005 /* UNION-FIND library */ int id[MAX], size[MAX]; void init(int n) { int i; for (i = 0; i < n; i++) id[i] = i, size[i] = 1; } int root(int i) { while (i != id[i]) id[i] = id[id[i]], i = id[i]; return i; } int connected(int p, int q) { return root(p) == root(q); } void unite(int p, int q) { int i = root(p), j = root(q); if (i == j) return; if (size[i] < size[j]) id[i] = j, size[j] += size[i]; else id[j] = i, size[i] += size[j]; } typedef struct { int a, b, c; } EDGE; // 道路の両端町、維持費 EDGE edge[MAX]; int sz; int a[MAX], b[MAX], c[MAX]; char f[MAX]; int cmp(const void *u, const void *v) { return ((EDGE *)u)->c - ((EDGE *)v)->c; } ll kruskal(int E) { int i; ll ans = 0; qsort(edge, E, sizeof(EDGE), cmp); for (i = 0; i < E; i++) { if (!connected(edge[i].a, edge[i].b)) { unite(edge[i].a, edge[i].b); ans += edge[i].c; } } return ans; } int main() { int i, N, M, K; ll cost, iden; N = in(), M = in(), K = in(); cost = 0; for (i = 1; i <= M; i++) { a[i] = in(), b[i] = in(), c[i] = in(); cost += c[i]; } while (K--) f[in()] = 1; init(N+1); // UNION-FIND 初期化 iden = 0, sz = 0; for (i = 1; i <= M; i++) { if (f[i]) { iden += c[i]; unite(a[i], b[i]); } else edge[sz].a = a[i], edge[sz].b = b[i], edge[sz++].c = c[i]; } printf("%lld\n", cost-iden-kruskal(sz)); return 0; }