/* -*- coding: utf-8 -*- * * 748.cc: No.748 yuki国のお財布事情 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int MAX_M = 100000; const long long LINF = 1LL << 61; /* typedef */ typedef long long ll; typedef vector vi; typedef vector vb; typedef queue qi; typedef pair pii; typedef vector vpii; typedef vector vvi; typedef stack si; struct Edge { int i, u, v, c; Edge() {} Edge(int _i, int _u, int _v, int _c): i(_i), u(_u), v(_v), c(_c) {} bool operator<(const Edge &e) const { return c < e.c; } }; struct UFT { int links[MAX_N], ranks[MAX_N], sizes[MAX_N]; UFT() {} void clear(int n) { for (int i = 0; i < n; i++) links[i] = i, ranks[i] = sizes[i] = 1; } int root(int i) { int i0 = i; while (links[i0] != i0) i0 = links[i0]; return (links[i] = i0); } int rank(int i) { return ranks[root(i)]; } int size(int i) { return sizes[root(i)]; } bool same(int i, int j) { return root(i) == root(j); } int merge(int i0, int i1) { int r0 = root(i0), r1 = root(i1), mr; if (r0 == r1) return r0; if (ranks[r0] == ranks[r1]) { links[r1] = r0; sizes[r0] += sizes[r1]; ranks[r0]++; mr = r0; } else if (ranks[r0] > ranks[r1]) { links[r1] = r0; sizes[r0] += sizes[r1]; mr = r0; } else { links[r0] = r1; sizes[r1] += sizes[r0]; mr = r1; } return mr; } }; /* global variables */ Edge es[MAX_M]; bool kps[MAX_M]; UFT uft; /* subroutines */ /* main */ int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < m; i++) { int u, v, c; scanf("%d%d%d", &u, &v, &c); u--, v--; es[i] = Edge(i, u, v, c); } sort(es, es + m); for (int i = 0; i < k; i++) { int ei; scanf("%d", &ei); ei--; kps[ei] = true; } uft.clear(n); ll sum = 0; for (int i = 0; i < m; i++) { Edge &e = es[i]; if (kps[e.i] && ! uft.same(e.u, e.v)) uft.merge(e.u, e.v); } for (int i = 0; i < m; i++) { Edge &e = es[i]; if (! uft.same(e.u, e.v)) uft.merge(e.u, e.v); else if (! kps[e.i]) sum += e.c; } printf("%lld\n", sum); return 0; }