#include <bits/stdc++.h>

using namespace std;

const long long INF = 1LL<<60;

int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);

  int n, m;
  cin >> n >> m;

  vector<vector<tuple<int, int> > > edges(n);
  for (int i = 0; i < m; i++) {
    int a, b, c;
    cin >> a >> b >> c;
    --a, --b;
    edges[a].emplace_back(b, c);
    edges[b].emplace_back(a, c);
  }

  vector<vector<long long> > dist(n, vector<long long>(2, INF));
  
  priority_queue<tuple<long long, int, int>, vector<tuple<long long , int, int>>, greater<tuple<long long, int, int>> > Q;
  for (int x = 0; x < 2; x++) {
    dist[0][x] = 0;
    Q.emplace(dist[0][x], 0, x);
  }

  while (!Q.empty()) {
    long long cost;
    int v;
    int x;
    tie(cost, v, x) = Q.top();
    
    Q.pop();

    if (dist[v][x] < cost) continue;

    for (auto &[w, weight]: edges[v]) {
      if (dist[v][x] + weight < dist[w][x]) {
        dist[w][x] = dist[v][x] + weight;
        Q.emplace(dist[w][x], w, x);
      }
      if (!x && dist[v][x] < dist[w][x+1]) {
        dist[w][x+1] = dist[v][x];
        Q.emplace(dist[w][x+1], w, x+1);
      }
    }
  }
  
  for (int i = 0; i < n; i++) 
    cout << dist[i][0] + dist[i][1] << endl;
  
  return 0;
}