package ACMCodeLibrary.GraphAlgorithms;

import java.io.BufferedWriter;
import java.io.FileWriter;
import java.io.IOException;
import java.util.*;

public class Main {

    private int N;
    private List<WeightedEdge>[] adjacencyList;

    static class WeightedEdge implements Comparable<WeightedEdge> {
        int to;
        double weight;

        public WeightedEdge(int to, double weight) {
            this.to = to;
            this.weight = weight;
        }

        @Override
        public int compareTo(WeightedEdge weightedEdge) {
            return Double.compare(weight, weightedEdge.weight);
        }
    }

    private static class WeightedVertex implements Comparable<WeightedVertex> {
        int index;
        double weight;
        int parent = -1;

        public WeightedVertex(int index, double weight) {
            this.index = index;
            this.weight = weight;
        }

        @Override
        public int compareTo(WeightedVertex weightedEdge) {
            return Double.compare(weight, weightedEdge.weight);
        }
    }

    public Main(int N, List<WeightedEdge>[] adjacencyList) {
        this.N = N;
        this.adjacencyList = adjacencyList;
    }

    // Dijkstra algorithm for vertex i, 0 <= i < N
    public double[] dijkstra(int i) {
        BitSet seen = new BitSet(N);

        PriorityQueue<WeightedVertex> q = new PriorityQueue<>();
        q.add(new WeightedVertex(0, i));

        double[] optimal = new double[N];
        Arrays.fill(optimal, Double.MAX_VALUE);
        optimal[i] = 0.0;

        while (seen.cardinality() < N) {
            WeightedVertex curr = q.poll();
            if (!seen.get(curr.index)) {
                seen.set(curr.index);
                for (WeightedEdge e: adjacencyList[curr.index]) {
                    if (e.to != curr.parent) {
                        if (optimal[e.to] > optimal[curr.index] + e.weight) {
                            optimal[e.to] = optimal[curr.index] + e.weight;
                            q.add(new WeightedVertex(e.to, optimal[e.to]));
                        }
                    }
                }
            }
        }

        return optimal;
    }

    public static void main(String[] args) throws IOException {
        Scanner sc = new Scanner("dijkstra.in");
        int N = sc.nextInt(); int E = sc.nextInt();
        List<WeightedEdge>[] adjList = new List[N];
        for (int i = 0; i <  N ;i++) {
            adjList[i] = new ArrayList<WeightedEdge>();
        }

        for (int i = 0; i < E; i++) {
            int from = sc.nextInt() - 1; int to = sc.nextInt() - 1; double weight = sc.nextDouble();
            adjList[from].add(new WeightedEdge(to, weight));
            adjList[to].add(new WeightedEdge(from, weight));
        }

        Main dij = new Main(N, adjList);
        double[] distances = dij.dijkstra(0);

        BufferedWriter writer = new BufferedWriter(new FileWriter("dijkstra.out"));
//        writer.write(str);
//
        for (int i = 1; i < N; i++) {
            writer.write((int)distances[i] + ' ');
        }
    }


}