#include <stdio.h>
#include <vector>
#define abs(x) ((x>0)?(x):(-(x)))
using namespace std;
#define NMAX 50001
vector<int> u,v,c;
long d[NMAX],m,n,inf;
int C[2*NMAX],k;
FILE *f=fopen("dijkstra.in","r");
FILE *g=fopen("dijkstra.out","w");
void read()
 {
 long a,b,cs;
 fscanf(f,"%ld %ld",&n,&m);
 for(int i=1;i<=m;i++)
  {
  fscanf(f,"%d %d %d",&a,&b,&cs);
  inf+=abs(cs);
  u.push_back(a);
  v.push_back(b);
  c.push_back(cs);
  }
 }
void init()
 {
 d[1]=0;
 for(int i=2;i<=n;i++)
  {
  d[i]=inf;
  }
 }
void solve()
 {
 init();
 C[++k]=1;
 for(int i=1;i<=k;i++)
  for(int j=0;j<u.size();j++)
   {
   if(u[j]==C[i]&&(d[C[i]]+c[j]<d[v[j]]))
    {
    d[v[j]]=d[C[i]]+c[j];
    C[++k]=v[j];
    }
   }
 }
void show()
 {
 for(int i=2;i<=n;i++)
  fprintf(g,"%ld ",d[i]);
 }
int main()
 {
 read();
 solve();
 show();
 return 0;
 }