/* -*- 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 int MAX_GN = MAX_K * 2 + 2; const long long LINF = 1LL << 62; /* typedef */ typedef long long ll; typedef pair pii; typedef pair pli; typedef vector vpii; /* global variables */ int rs[MAX_K], ers[MAX_M]; pii rvs[MAX_K]; vpii nbrs[MAX_N]; int cs[MAX_M], vs[MAX_GN], gbs[MAX_GN][MAX_GN]; ll ds[MAX_N], gcs[MAX_GN][MAX_GN], gds[MAX_GN * KBITS]; /* subroutines */ /* main */ int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); int kbits = 1 << k, kmsk = kbits - 1; fill(ers, ers + m, -1); for (int i = 0; i < k; i++) { scanf("%d", rs + i), rs[i]--; ers[rs[i]] = i; } int gn = 0; 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)); if (ers[i] >= 0) { vs[gn++] = u, vs[gn++] = v; rvs[ers[i]] = pii(u, v); } } vs[gn++] = 0, vs[gn++] = n - 1; sort(vs, vs + gn); gn = unique(vs, vs + gn) - vs; for (int i = 0; i < gn; i++) { fill(ds, ds + n, LINF); ds[vs[i]] = 0; priority_queue q; q.push(pli(0, vs[i])); while (! q.empty()) { pli u = q.top(); q.pop(); ll ud = -u.first; int ui = u.second; if (ds[ui] != ud) continue; for (auto ve: nbrs[ui]) { int vi = ve.first, ei = ve.second; ll vd = ud + cs[ei]; if (ds[vi] > vd) { ds[vi] = vd; q.push(pli(-vd, vi)); } } } for (int j = 0; j < gn; j++) gcs[i][j] = ds[vs[j]]; } for (int i = 0; i < k; i++) { int u = rvs[i].first, v = rvs[i].second; int gu = lower_bound(vs, vs + gn, u) - vs; int gv = lower_bound(vs, vs + gn, v) - vs; gbs[gu][gv] = gbs[gv][gu] = 1 << i; if (gcs[gu][gv] < cs[rs[i]]) gcs[gu][gv] = gcs[gv][gu] = cs[rs[i]]; } int st = 0, gl = (gn - 1) << k | kmsk; fill(gds, gds + gn * kbits, LINF); gds[st] = 0; priority_queue gq; gq.push(pli(0, st)); while (! gq.empty()) { pli u = gq.top(); gq.pop(); ll ud = -u.first; int up = u.second; if (gds[up] != ud) continue; if (up == gl) break; int ui = up >> k, ub = up & kmsk; for (int vi = 0; vi < gn; vi++) { ll vd = ud + gcs[ui][vi]; int vb = ub | gbs[ui][vi]; int vp = vi << k | vb; if (gds[vp] > vd) { gds[vp] = vd; gq.push(pli(-vd, vp)); } } } printf("%lld\n", gds[gl]); return 0; }