#include <stdio.h>
#include <algorithm>
#include <vector>
#define NMAX 50002
#define INF 10000000
using namespace std;
FILE *fin,*fout;
struct muchie {int vf,cost;};
struct hip{int nod,cost;
            bool operator< (hip &xx) {return cost>xx.cost; }};
int n,m;
vector <muchie> L[NMAX];
vector <hip> cmin;
int dmin[NMAX],M[NMAX];
using namespace std;
void citire()
{
    int a,b,c;
    muchie aux;
    fin=fopen("dijkstra.in","r");
    fscanf(fin,"%d%d",&n,&m);
    for(int i=1;i<=m;i++)
    {
        fscanf(fin,"%d%d%d",&a,&b,&c);
        aux.vf=b; aux.cost=c;
        L[a].push_back(aux);
    }
}
void dijkstra()
{
    int vfmin,i;
    hip aux2;
    //init
    for(i=1;i<=n;i++) dmin[i]=INF;
    for(i=0;i<L[1].size();i++)
    {
        dmin[L[1][i].vf]=L[1][i].cost;
        aux2.nod=L[1][i].vf; aux2.cost=L[1][i].cost;
        cmin.push_back(aux2);
    }
    dmin[1]=0; M[1]=1;
    make_heap(cmin.begin(),cmin.end());
    //

    while(!cmin.empty())
    {
        aux2=cmin.front();
        pop_heap(cmin.begin(),cmin.end());
        cmin.pop_back();
        vfmin=aux2.nod;
        M[vfmin]=1;
        for(i=0;i<L[vfmin].size();i++)
        {
            if(M[L[vfmin][i].vf]==0)
            {
                if(dmin[L[vfmin][i].vf]>dmin[vfmin]+L[vfmin][i].cost)
                {
                    dmin[L[vfmin][i].vf]=dmin[vfmin]+L[vfmin][i].cost;
                    aux2.nod=L[vfmin][i].vf; aux2.cost=L[vfmin][i].cost;
                    cmin.push_back(aux2);
                    push_heap(cmin.begin(),cmin.end());
                }
            }
        }
    }
    fout=fopen("dijkstra.out","w");
        for (i=2; i<=n; ++i)
        if (dmin[i]!=10000000) fprintf (fout, "%d ", dmin[i]); else fprintf (fout, "0 ");
}
int main()
{
        citire();
        dijkstra();
        return 0;
}