#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;

template <typename CostType>
struct Edge {
  int src, dst; CostType cost;
  Edge(int src, int dst, CostType cost = 0) : src(src), dst(dst), cost(cost) {}
  inline bool operator<(const Edge &x) const {
    return cost != x.cost ? cost < x.cost : dst != x.dst ? dst < x.dst : src < x.src;
  }
  inline bool operator<=(const Edge &x) const { return !(x < *this); }
  inline bool operator>(const Edge &x) const { return x < *this; }
  inline bool operator>=(const Edge &x) const { return !(*this < x); }
};

int main() {
  int n, m; cin >> n >> m;
  vector<Edge<int>> edge;
  vector<set<int>> pos(n), neg(n);
  REP(_, m) {
    int u, v, w; cin >> u >> v >> w; --u; --v;
    edge.emplace_back(u, v, w);
    pos[u].emplace(v);
  }
  vector<int> dist(n, INF), median(n, INF);
  dist[0] = median[0] = 0;
  using P = pair<int, int>;
  priority_queue<P, vector<P>, greater<P>> que;
  auto solve = [&]() {
    set<int> ans;
    while (!que.empty()) {
      auto [cost, ver] = que.top(); que.pop();
      if (cost > dist[ver]) continue;
      for (int e : pos[ver]) {
        if (dist[e] > dist[ver] + 1 && dist[ver] + 1 >= -n * 3) {
          dist[e] = dist[ver] + 1;
          if (dist[e] <= 0) ans.emplace(e);
          que.emplace(dist[e], e);
        }
      }
      for (int e : neg[ver]) {
        if (dist[e] > dist[ver] - 1 && dist[ver] - 1 >= -n * 3) {
          dist[e] = dist[ver] - 1;
          if (dist[e] <= 0) ans.emplace(e);
          que.emplace(dist[e], e);
        }
      }
    }
    return ans;
  };
  que.emplace(0, 0);
  solve();
  sort(ALL(edge));
  REP(i, m) {
    pos[edge[i].src].erase(edge[i].dst);
    neg[edge[i].src].emplace(edge[i].dst);
    if (dist[edge[i].src] != INF && dist[edge[i].dst] > dist[edge[i].src] - 1 && dist[edge[i].src] - 1 >= -n * 3) {
      dist[edge[i].dst] = dist[edge[i].src] - 1;
      if (dist[edge[i].dst] <= 0 && median[edge[i].dst] == INF) median[edge[i].dst] = edge[i].cost;
      que.emplace(dist[edge[i].dst], edge[i].dst);
      for (int e : solve()) {
        if (median[e] == INF) median[e] = edge[i].cost;
      }
    }
  }
  FOR(i, 1, n) cout << (median[i] == INF ? -1 : median[i]) << '\n';
  return 0;
}