/* -*- coding: utf-8 -*- * * 1812.cc: No.1812 Uribo Road - yukicoder */ #include #include #include #include using namespace std; /* constant */ const int MAX_N = 10000; const int MAX_M = 20000; const int MAX_K = 12; const int KBITS = 1 << MAX_K; const long long LINF = 1LL << 62; /* typedef */ typedef long long ll; typedef pair pii; typedef pair pli; typedef vector vpii; /* global variables */ vpii nbrs[MAX_N]; int ebs[MAX_M], cs[MAX_M]; ll ds[MAX_N * KBITS]; /* subroutines */ /* main */ int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); int kbits = 1 << k, kmsk = kbits - 1; for (int i = 0; i < k; i++) { int ri; scanf("%d", &ri), ri--; ebs[ri] = 1 << i; } for (int i = 0; i < m; i++) { int u, v; scanf("%d%d%d", &u, &v, cs + i); u--, v--; nbrs[u].push_back(pii(v, i)); nbrs[v].push_back(pii(u, i)); } fill(ds, ds + n * kbits, LINF); ds[0] = 0; priority_queue q; q.push(pli(0, 0)); int gl = (n - 1) << k | kmsk; while (! q.empty()) { pli u = q.top(); q.pop(); ll ud = -u.first; int up = u.second; if (ds[up] != ud) continue; if (up == gl) break; int ui = up >> k, ub = up & kmsk; for (auto ve: nbrs[ui]) { int vi = ve.first, ei = ve.second; int vb = ub | ebs[ei]; int vp = vi << k | vb; ll vd = ud + cs[ei]; if (ds[vp] > vd) { ds[vp] = vd; q.push(pli(-vd, vp)); } } } printf("%lld\n", ds[gl]); return 0; }