#include <cstdio>
#include <vector>
#include <queue>
#define MAXN 50010
#define INF 1<<30
using namespace std;
vector<int> d;
queue<int> Q;
struct nod{int nd; int cost; nod *next;};
nod *L[MAXN];
int n, m, uz[MAXN], S;
void citire()
{
    nod *p;
    int i, x, y, cost;
    scanf("%d%d", &n, &m);
    for(i=1;i<=m;++i)
    {
        scanf("%d%d%d", &x, &y, &cost);
        p=new nod;
        p->nd=y;
        p->cost=cost;
        p->next=L[x];
        L[x]=p;
    }
    S=1;
}
void dijkstra()
{
    int k;
    d.assign(n+1, INF);
    d[S]=0;
    uz[S]=1;
    Q.push(S);
    while(!Q.empty())
    {
        k=Q.front();
        Q.pop();
        uz[k]=0;
        nod *p=L[k];
        while(p)
        {
            if(d[p->nd]>d[k]+p->cost)
            {
                d[p->nd]=d[k]+p->cost;
                if(!uz[p->nd])
                {
                    Q.push(p->nd);
                    uz[p->nd]=1;
                }
            }
            p=p->next;
        }
    }
}
void afisare()
{
    int i;
    for(i=2;i<=n;++i)
        if(d[i]!=INF)
            printf("%d ", d[i]);
        else
            printf("0 ");
    printf("\n");
}
void rezolva_problema()
{
    citire();
    dijkstra();
    afisare();
}
int main()
{
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);
    rezolva_problema();
    return 0;
}