#include<fstream>
#define inf 14125
using namespace std;
ifstream f("djkstra.in");
ofstream g("djkstra.out");
struct muchie
{
    int x,y,c;
}v[250001];
int n,m;
int x,y,c;
int i,ok;
int d[50001];
int main()
{
    f>>n>>m;
    for(i=1;i<=m;i++)
    {
        f>>x>>y>>c;
        v[i].x=x;
        v[i].y=y;
        v[i].c=c;
        if(x==1)
         d[y]=c;
    }
    for(i=2;i<=n;i++)
     if(d[i]==0)
      d[i]=inf;
    do
    {
        ok=1;
        for(i=1;i<=m;i++)
         if(d[v[i].y]>d[v[i].x]+v[i].c)
        {
            d[v[i].y]=d[v[i].x]+v[i].c;
            ok=0;
        }

    }while(!ok);
    for(i=2;i<=n;i++)
    {
        if(d[i]!=inf)
         g<<d[i]<<" ";
        else
         g<<0<<" ";
    }
    return 0;
}