#include <algorithm>
#include <vector>
#include <bitset>
#include <queue>
using namespace std;

#define INF 0x3f3f3f3f
#define pb push_back
#define mp make_pair
#define DIM 50005
#define sc second
#define fs first

vector <pair <int,int> > g[DIM];
bitset <DIM> viz;
int dst[DIM];
int n,m;

struct cmp
{
    bool operator () (const int &a,const int &b) const
    {
        return dst[a]>dst[b];
    }
}; priority_queue <int,vector <int>,cmp> q;

void read ()
{
    int i,x,y,z;

    scanf ("%d%d",&n,&m);
    for (i=1; i<=m; ++i)
    {
        scanf ("%d%d%d",&x,&y,&z);
        g[x].pb (mp (y,z));
    }
}

void solve ()
{
    int nod,i;

    memset (dst,INF,sizeof (dst));
    for (dst[1]=0, q.push (1); !q.empty (); q.pop ())
    {
        viz[nod=q.top ()]=0;
        for (i=0; i<(int)g[nod].size (); ++i)
            if (dst[nod]+g[nod][i].sc<dst[g[nod][i].fs])
            {
                dst[g[nod][i].fs]=dst[nod]+g[nod][i].sc;
                if (!viz[g[nod][i].fs])
                {
                    q.push (g[nod][i].fs);
                    viz[g[nod][i].fs]=1;
                }
            }
    }
    for (i=2; i<=n; ++i)
        if (dst[i]==INF)
            printf ("0 ");
        else
            printf ("%d ",dst[i]);
}

int main ()
{
    freopen ("dijkstra.in","r",stdin);
    freopen ("dijkstra.out","w",stdout);

    read ();
    solve ();

    return 0;
}