#include<fstream>
#define nmax 50002
#define mmax 250002
#define inf 2000000000
using namespace std;
ifstream f("djikstra.in");
ofstream g("djikstra.out");
struct muchie
{
    long x,y,c;
}G[mmax];
long D[nmax],M,N;
int main()
{

    long i,x,y,c,ok;
    f>>N>>M;
    for(i=1;i<=M;++i)
    {
        f>>x>>y>>c;
        G[i].x=x;
        G[i].y=y;
        G[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[G[i].y]>D[G[i].x]+G[i].c)
          {
              D[G[i].y]=D[G[i].x]+G[i].c;
              ok=0;
          }
    }while(!ok);
    for(i=2;i<=N;++i)
      if(D[i]!=inf)
        g<<D[i]<<" ";
      else
        g<<"0 ";
    return 0;
 }