// Enjoy your stay. Code by evima #include #include using namespace atcoder; using mint = modint998244353; // modint; #include using namespace std; using ld = long double; using ll = long long; using lll = __int128; using pl = pair; using vl = vector; using vm = vector; using vp = vector; using vs = vector; using vvl = vector; using LOOPVAR_TYPE = ll; #define all(x) (x).begin(), (x).end() #define mset(a, v) memset(a, v, sizeof(a)) #define sq(x) ((x) * (x)) #define sz(x) ll((x).size()) #define GET_MACRO(_1, _2, _3, _4, NAME, ...) NAME #define rep1(i, n) rep2(i, 0, n) #define rep2(i, a, b) \ for (LOOPVAR_TYPE i = LOOPVAR_TYPE(a); i < LOOPVAR_TYPE(b); i++) #define rep3(i, a, b, c) \ for (LOOPVAR_TYPE i = LOOPVAR_TYPE(a); \ (c) > 0 ? i < LOOPVAR_TYPE(b) : i > LOOPVAR_TYPE(b); i += (c)) #define rep(...) GET_MACRO(__VA_ARGS__, rep3, rep2, rep1)(__VA_ARGS__) #define eb emplace_back #define fir first #define sec second #define mp make_pair #define mt make_tuple const int PREC = 20; const ld EPS = 1e-9; const ld PI = 3.14159265358979323846L; const ll INF = 1070000000LL; const ll MOD = 998244353LL; // 1000000007LL; const ll inf = 2.07e18; const string IMPOSSIBLE = "IMPOSSIBLE"; const string POSSIBLE = "POSSIBLE"; void fast_io() { cin.tie(NULL); ios_base::sync_with_stdio(false); } ll lin() { ll x; cin >> x; return x; } string input() { string s; cin >> s; return s; } vl vin(int n) { vl v(n); rep(i, n) cin >> v[i]; return v; } vs vsin(int n) { vs v(n); rep(i, n) cin >> v[i]; return v; } vvl vvin(int n, int m) { vvl w(n, vl(m)); rep(i, n) rep(j, m) cin >> w[i][j]; return w; } vvl vvin(int n) { return vvin(n, n); } template vector cat(vector v, const vector& w) { for (T x : w) v.eb(x); return v; } template bool chmin(T& a, const T& b) { return (b < a) ? (a = b, true) : false; } template bool chmax(T& a, const T& b) { return (a < b) ? (a = b, true) : false; } template map freq(const vector& v) { map ret; for (T x : v) ++ret[x]; return ret; } template vector reversed(vector v) { reverse(all(v)); return v; } template vector sorted(vector v) { sort(all(v)); return v; } template vector sub(const vector& v, int from, int to) { vector ret; copy(&v[from], &v[to], back_inserter(ret)); return ret; } template string str(const T& x) { stringstream ss; ss << setprecision(PREC); ss << x; return ss.str(); } string str(const mint& x) { return str(x.val()); } template array str_tuple_impl(stringstream& ss, Tuple&& t, index_sequence) { return {{(void(ss << str(get(t)) << " "), 0)...}}; } template string str_tuple(Tuple&& t) { stringstream ss; ss << setprecision(PREC); str_tuple_impl(ss, forward(t), make_index_sequence>::value>{}); string s = ss.str(); if (s.size() > 0) s.pop_back(); return s; } template string str(const pair& p) { return str_tuple(p); } template string str(const tuple& t) { return str_tuple(t); } template string str(const vector& v) { stringstream ss; ss << setprecision(PREC); rep(i, sz(v)) ss << str(v[i]) << (i < sz(v) - 1 ? " " : ""); return ss.str(); } template T sum(const vector& v) { return accumulate(all(v), 0LL); } template vector> trans(const vector>& w) { int n = sz(w), m = sz(w[0]); vector> ret(m, vector(n)); rep(i, m) rep(j, n) ret[i][j] = w[j][i]; return ret; } vector trans(const vector& w) { int n = sz(w), m = sz(w[0]); vector ret(m, string(n, ' ')); rep(i, m) rep(j, n) ret[i][j] = w[j][i]; return ret; } template void print1(T&& x, const string& end) { cout << str(x) << end; } void pr() { print1("", ""); } template void pr(T&& head, U&&... tail) { print1(head, ""); pr(forward(tail)...); } void print() { print1("", "\n"); } template void print(T&& head, U&&... tail) { print1(head, " "); print(forward(tail)...); } template void eprint1(T&& x, const string& end) { cerr << str(x) << end; } void eprint() { eprint1("", "\n"); } template void eprint(T&& head, U&&... tail) { eprint1(head, " "); eprint(forward(tail)...); } template void quit(T&&... x) { print(forward(x)...); exit(0); } void yn(bool cnd) { if (cnd) print("Yes"); else print("No"); } template void yn(bool cnd, T&& yes, U&& no) { if (cnd) print(yes); else print(no); } void zip(vl& v) { vl w = v; sort(all(w)); int n = unique(all(w)) - w.begin(); for (ll& x : v) x = lower_bound(&w[0], &w[n], x) - &w[0]; } vl zipped(vl v) { zip(v); return v; } map zipmap(vl v) { map ret; sort(all(v)); v.erase(unique(all(v)), v.end()); rep(i, sz(v)) ret[v[i]] = i; return ret; } void init(){}; int N; vector>> g, gr; vl bfs(int s, int r = 0){ vl dist(N, inf); priority_queue, vector>, greater>> q; q.push({0, s}); dist[s] = 0; while(!q.empty()){ auto [c, v] = q.top(); q.pop(); if(dist[v] < c) continue; for(auto& [u, t] : (r == 0 ? g : gr)[v]){ ll nd = dist[v] + t; if(nd < dist[u]) { dist[u] = nd; q.push({nd, u}); } } } return dist; } void solveOne() { ll M; cin >> N >> M; g.resize(N); gr.resize(N); rep(i, M){ int u, v; ll t; cin >> u >> v >> t; --u, --v; g[u].eb(v, t); gr[v].eb(u, t); } // int A = 0, B = N - 2, C = N - 1; vl distB = bfs(B); vl distC = bfs(C); vl distBr = bfs(B, 1); vl distCr = bfs(C, 1); rep(i, N - 2){ ll ans1 = distBr[i] + distB[C] + distC[i]; ll ans2 = distCr[i] + distC[B] + distB[i]; ll ans = min(ans1, ans2); if(ans >= inf) ans = -1; print(ans); } } int main() { int T=1; //cin >> T; init(); rep(i, 1, T + 1) { //cout << "Case #" << i << ": "; solveOne(); } }