import java.io.BufferedReader;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.PriorityQueue;
import java.util.StringTokenizer;
 
public class Main {
 
  static int n;
  static int m;
 
  static List<Edge>[] g;
  static int[] dist;
  static boolean[] vis;
 
  static class Edge {
 
    int to;
    int cost;
 
    Edge(int to, int cost) {
      this.to = to;
      this.cost = cost;
    }
  }
 
  public static void main(String[] args) throws FileNotFoundException, IOException {
    BufferedReader br = new BufferedReader(new InputStreamReader(new FileInputStream("dijkstra.in")));
    PrintWriter out = new PrintWriter(new FileOutputStream("dijkstra.out"));

    String[] parts = br.readLine().split(" ");
    n = Integer.parseInt(parts[0]);
    m = Integer.parseInt(parts[1]);
 
    g = new List[n];
    dist = new int[n];
    vis = new boolean[n];
//    Arrays.fill(g, new ArrayList<>());
    for (int i = 0; i < n; i++) {
      g[i] = new ArrayList<>();
    }
 
    Arrays.fill(dist, Integer.MAX_VALUE);
    Arrays.fill(vis, false);
 
    dist[0] = 0;
    for (int i = 0; i < m; i++) {
      parts = br.readLine().split(" ");
      int from = Integer.parseInt(parts[0]) - 1;
      int to = Integer.parseInt(parts[1]) - 1;
      int cost = Integer.parseInt(parts[2]);
      g[from].add(new Edge(to, cost));
//      out.println(from + ", " + to + ", " + cost);
    }
 
    PriorityQueue<Long> pq = new PriorityQueue<>();
    pq.add(0L);
    while (!pq.isEmpty()) {
      long entry = pq.remove();
      int node = (int) entry;
      for (int j = 0; j < g[node].size(); j++) {
        if (dist[node] + g[node].get(j).cost < dist[g[node].get(j).to]) {
          dist[g[node].get(j).to] = dist[node] + g[node].get(j).cost;
          pq.add(((1L * dist[g[node].get(j).to]) << 32) + g[node].get(j).to);
        }
      }
    }
 
    for (int i = 1; i < n; i++) {
      if (dist[i] < Integer.MAX_VALUE) {
        out.print(dist[i] + " ");
      } else {
        out.print("0 ");
      }
    }
    out.println();
 
//    for(int i=0; i<n; i++) {
//      out.print(i + " -> ");
//      for(int j=0; j<g[i].size(); j++)
//        out.print(g[i].get(j).to + ", ");
//      out.println();
//    }
    out.close();
  }
 
  static class InputReader {
 
    private BufferedReader reader;
    private StringTokenizer tokenizer;
 
    InputReader(InputStream stream) {
      reader = new BufferedReader(new InputStreamReader(stream), 65536);
      tokenizer = null;
    }
 
    private String nextToken() {
      while (tokenizer == null || !tokenizer.hasMoreTokens()) {
        try {
          tokenizer = new StringTokenizer(reader.readLine());
        } catch (IOException e) {
          throw new RuntimeException(e);
        }
      }
 
      return tokenizer.nextToken();
    }
 
    int nextInt() {
      return Integer.parseInt(nextToken());
    }
 
    String nextString() {
      return nextToken();
    }
  }
}