#include <fstream>
#include<climits>
using namespace std;
ifstream cin ("dijkstra.in");
ofstream cout ("dijkstra.out");
int t[3][250001],start[250001],d[250001],coada[500001],viz[250001],n,m;
void citire ()
{
    cin>>n>>m; int x;
    for(int i=1;i<=m;i++)
    {
        cin>>x>>t[0][i]>>t[2][i];
        t[1][i]=start[x]; start[x]=i;
    }
}
void init ()
{
    for(int i=2;i<=n;i++) d[i]=INT_MAX;
}
void ford ()
{
    int pi=1,ps=1;
    coada[pi]=1;
    while(ps<=pi)
    { int nod=coada[ps]; viz[nod]=0;
        int p=start[nod];
        while(p!=0)
        {
           if(d[nod]+t[2][p]<d[t[0][p]])
           {d[t[0][p]]=d[nod]+t[2][p];
              if(viz[t[0][p]]==0)
              {
                  viz[t[0][p]]=1; pi++; coada[pi]=t[0][p];
              }
           } p=t[1][p];
        } ps++;
    }
}
void scrie ()
{
    for(int i=2;i<=n;i++) { if(d[i]==INT_MAX) d[i]=0; cout<<d[i]<<" ";}
}
int main()
{
    citire();
    init();
    ford();
    scrie();
    cin.close();
    cout.close();
    return 0;
}