#include <stdio.h>
#include <bits/stdc++.h>

#define rep(i, n) for(int i = 0; i < n; i++)

using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
const int INF = 0x3f3f3f3f;

ifstream fin ("dijkstra.in");
ofstream fout ("dijkstra.out");

const int Nmax = 50444;
int N, M, d[Nmax];
vector<pii> G[Nmax];

int main(void) {
  // freopen("dijkstra.in", "r", stdin);
  std::ios_base::sync_with_stdio(false);
  std::cin.tie(NULL);
  
  fin >> N >> M;
  memset(d, -1, N*sizeof(int));

  int a, b, c;
  rep(i, M) {
    fin >> a >> b >> c;
    --a;
    --b;
    G[a].push_back({b, c});
  }

  priority_queue<pii, vector<pii>, greater<pii> > Q;
  Q.push({0, 0}); d[0] = 0;
  while(!Q.empty()) {
    auto X = Q.top(); Q.pop();
    int dist = X.first;
    int nod = X.second;

    for(auto Y: G[nod]) {
      int nbr = Y.first;
      if (d[nbr] != -1) { continue; }
      int cost = Y.second;
      d[nbr] = dist + cost;
      Q.push({d[nbr], nbr});
    }
  }
  for(int i = 1; i < N; i++) { fout << d[i] << ' '; }
  fout << endl;

  return 0;
}