#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
#define MAX 50010
#define INF 1000000000
typedef vector <pair<int, int> > :: iterator iter;
vector <pair<int, int> > G[MAX];
priority_queue <pair<int, int> > Q;
int dist[MAX];
int main()
{
    int n, m, nod, x, y, c, i;
    fin >> n >> m;
    while(m--)
    {
        fin >> x >> y >> c;
        G[x].push_back(make_pair(y, c));
    }
    for(i = 2 ; i <= n ; i++)
    {
        dist[i] = INF;
    }
    dist[1] = 0;
    Q.push(make_pair(0, 1));
    while(Q.size())
    {
        pair<int, int> aux = Q.top();
        Q.pop();
        nod = aux.second;
        if(-aux.first != dist[nod])
        {
            continue;
        }
        for(iter it = G[nod].begin() ; it != G[nod].end() ; it++)
        {
            if(dist[it->first] > dist[nod] + it->second)
            {
                dist[it->first] = dist[nod] + it->second;
                Q.push(make_pair(-dist[it->first], it->first));
            }
        }
    }
    for(i = 2 ; i <= n ; i++)
    {
        if(dist[i] == INF)
        {
            fout << "0 ";
        }
        else
            fout << dist[i] << ' ';
    }
    fout << "\n";
}