#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll INF = 100000000000000002; void dijkstra(vvpll &graph, ll v, vl &dist) { priority_queue> pque; pque.push(pll(0, v)); dist[v] = 0; while (pque.size()) { pll p = pque.top(); pque.pop(); if (dist[p.second] != p.first) { continue; } for (auto x : graph[p.second]) { if (dist[x.first] > dist[p.second] + x.second) { dist[x.first] = dist[p.second] + x.second; pque.push(pll(dist[x.first], x.first)); } } } } int main() { ll N, M; cin >> N >> M; vector u(M); vector v(M); vector t(M); for (ll i = 0; i < M; i++) { cin >> u[i] >> v[i] >> t[i]; u[i]--; v[i]--; } vector> graph(N, vector(0)); vector> graph_inv(N, vector(0)); for (ll i = 0; i < M; i++) { graph[u[i]].push_back(pll(v[i], t[i])); graph_inv[v[i]].push_back(pll(u[i], t[i])); } vector distn1(N, INF); vector distn(N, INF); vector distn1_inv(N, INF); vector distn_inv(N, INF); dijkstra(graph, N - 2, distn1); dijkstra(graph, N - 1, distn); dijkstra(graph_inv, N - 2, distn1_inv); dijkstra(graph_inv, N - 1, distn_inv); for (ll i = 0; i < N - 2; i++) { ll ans = min(distn1_inv[i] + distn1[N - 1] + distn[i], distn_inv[i] + distn[N - 2] + distn1[i]); if (ans >= INF) { cout << -1 << endl; } else { cout << ans << endl; } } }