/* Problem URL: https://cses.fi/problemset/task/1196 */ #include using namespace std; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m, k; cin >> n >> m >> k; V>> graph(n); while (m--) { int a, b, c; cin >> a >> b >> c; a--, b--; graph[a].emplace_back(b, c); } ll inf = INT64_MAX >> 1; V> dis(n, multiset({inf})); auto dijkstra = [&]() { dis[0].insert(0); priority_queue, V>, greater<>> pq; pq.emplace(0, 0); while (!pq.empty()) { auto [c, i] = pq.top(); pq.pop(); if (c > *prev(dis[i].end())) { continue; } for (auto [j, cc] : graph[i]) { if (dis[j].size() < k || c + cc < *prev(dis[j].end())) { dis[j].insert(c + cc); pq.emplace(c + cc, j); if (dis[j].size() > k) { dis[j].erase(prev(dis[j].end())); } } } } }; dijkstra(); for (auto i : dis.back()) { cout << i << ' '; } cout << '\n'; }