/* -*- coding: utf-8 -*- * * 160.cc: No.160 最短経路のうち辞書順最小 - 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 = 200; const int INF = 1 << 30; /* typedef */ typedef vector vi; typedef queue qi; typedef pair pii; typedef vector vpii; /* global variables */ vpii nbrs[MAX_N]; vi pths[MAX_N]; int dists[MAX_N]; /* subroutines */ /* main */ int main() { int n, m, st, gl; cin >> n >> m >> st >> gl; for (int i = 0; i < m; i++) { int a, b, c; cin >> a >> b >> c; nbrs[a].push_back(pii(b, c)); nbrs[b].push_back(pii(a, c)); } for (int i = 0; i < n; i++) dists[i] = INF; dists[st] = 0; priority_queue q; q.push(pii(0, st)); while (! q.empty()) { pii u = q.top(); q.pop(); int ud = -u.first, ui = u.second; if (ui == gl) break; vpii &nbru = nbrs[ui]; vi pthv(pths[ui]); for (vpii::iterator vit = nbru.begin(); vit != nbru.end(); vit++) { int vi = vit->first, vd = ud + vit->second; pthv.push_back(vi); if (dists[vi] > vd || (dists[vi] == vd && pths[vi] > pthv)) { dists[vi] = vd; pths[vi] = pthv; q.push(pii(-vd, vi)); } pthv.pop_back(); } } printf("%d", st); for (int i = 0; i < pths[gl].size(); i++) printf(" %d", pths[gl][i]); putchar('\n'); return 0; }