#include <iostream>
#include <fstream>
#include <forward_list>
#include <queue>

using namespace std;

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

int n,m,a,b,c,viz[50005];
typedef pair < int, int > ipair;
forward_list < ipair > adj[50005];
priority_queue < ipair, vector < ipair >, greater < ipair > > pq;
vector < int > dist (50005, 1000000001);

void dijkstra(int src)
{
    dist[src]=0;
    pq.push(make_pair(0,src));
    while(!pq.empty())
    {
        int u=pq.top().second;
        pq.pop();
        for(auto it=adj[u].begin();it!=adj[u].end();it++)
        {
            int v=(*it).first;
            int weight=(*it).second;
            if(dist[v]>dist[u]+weight)
            {
                dist[v]=dist[u]+weight;
                pq.push(make_pair(dist[v],v));
            }
        }
    }
}

int main()
{
    fin >> n >> m;
    for(;m;--m)
    {
        fin >> a >> b >> c;
        adj[a].push_front(make_pair(b,c));
    }
    dijkstra(1);
    for(int i=2;i<=n;i++)
        fout << dist[i] << " ";
    return 0;
}