//* #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //*/ #include // #include using namespace std; // using namespace atcoder; #define DEBUG(x) cerr<<#x<<": "< #define vl vector #define vii vector< vector > #define vll vector< vector > #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i,n) for(int i=0;i<(int)(n);i++) #define rep1(i,n) for(int i=1;i<=(int)(n);i++) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;i--) #define rrep1(i,n) for(int i=(int)(n);i>0;i--) #define REP(i,a,b) for(int i=a;i bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; int popcount(ll t) { return __builtin_popcountll(t); } // int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; // int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 }; vi dx = {0, 1, 0, -1}, dy = {-1, 0, 1, 0}; // vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 }; struct Setup_io { Setup_io() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cout << fixed << setprecision(25); } } setup_io; // const ll MOD = 1000000007; const ll MOD = 998244353; // #define mp make_pair //#define endl '\n' const int N = 1011; vector> G(N); vi bfs(vector>& G, int start, int n) { vl dist(n, INF); dist[start] = 0; queue qu; qu.push(start); vi jun; while (qu.size()) { int u = qu.front(); qu.pop(); jun.push_back(u); for (pii vv: G[u]) { int v = vv.first; ll ncost = dist[u] + 1; if (dist[v] > ncost) { dist[v] = ncost; qu.push(v); } } } return jun; } signed main() { int n, m; cin >> n >> m; vl ww; rep (i, m) { int u, v, w; cin >> u >> v >> w; u--; v--; G[u].push_back(pll(v, w)); ww.push_back(w); } sort(all(ww)); UNIQUE(ww); vi jun = bfs(G, 0, n); // DEBUG_VEC(jun); vl ans(n, inf); vl num(n, -n - 10); num[0] = 0; int ok = n + 10; for (ll x: ww) { stack st; rrep (i, jun.size()) { int u = jun[i]; if (num[u] == -n - 10) continue; st.push(pll(u, num[u])); } while (st.size()) { auto [u, cost] = st.top(); st.pop(); if (num[u] > cost) continue; for (pll temp: G[u]) { int v = temp.first; int ncost = cost; if (ncost < ok) { if (temp.second <= x) ncost++; else ncost--; } if (num[v] < ncost) { num[v] = ncost; st.push(pll(v, ncost)); } } } rep (i, n) { if (ans[i] == inf and num[i] >= 0) { ans[i] = x; } } } rep1 (i, n - 1) { if (ans[i] == inf) ans[i] = -1; cout << ans[i] << endl; } }