/* -*- coding: utf-8 -*- * * 1301.cc: No.1301 Strange Graph Shortest Path - 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 << 62; /* typedef */ typedef long long ll; typedef pair pii; typedef pair pli; typedef vector vpii; /* global variables */ int cs[MAX_M], ds[MAX_M], wis[MAX_M]; vpii nbrs[MAX_N]; ll dists[MAX_N]; pii ps[MAX_N]; /* subroutines */ ll dijkstra(int n, int st, int gl) { fill(dists, dists + n, LINF); dists[st] = 0, ps[0] = pii(-1, -1); priority_queue q; q.push(pli(0, st)); while (! q.empty()) { pli u = q.top(); q.pop(); ll ud = -u.first; int ui = u.second; if (dists[ui] != ud) continue; if (ui == gl) break; vpii &nbru = nbrs[ui]; for (vpii::iterator vit = nbru.begin(); vit != nbru.end(); vit++) { int vi = vit->first, ei = vit->second; ll vd = ud + wis[ei]; if (dists[vi] > vd) { dists[vi] = vd, ps[vi] = pii(ui, ei); q.push(pli(-vd, vi)); } } } return dists[gl]; } /* main */ int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int u, v; scanf("%d%d%d%d", &u, &v, cs + i, ds + i); u--, v--; nbrs[u].push_back(pii(v, i)); nbrs[v].push_back(pii(u, i)); } copy(cs, cs + m, wis); ll d0 = dijkstra(n, 0, n - 1); //printf("d0=%lld\n", d0); for (int u = n - 1; u > 0;) { pli p = ps[u]; wis[p.second] = ds[p.second]; u = p.first; } ll d1 = dijkstra(n, n - 1, 0); printf("%lld\n", d0 + d1); return 0; }