#include <fstream>
#include <queue>

#define nmax 50002
#define oo 0x3f3f3f3f

using namespace std;

queue <int> Q;

int n,m;
bool viz[nmax];

struct nod{
    int inf,cost;
    nod *urm;
} *g[nmax];


int dist[nmax];

void add(int x,int y,int z)
{
    nod *aux = new nod;
    aux->inf  = y;
    aux->cost = z;
    aux->urm = g[x];
    g[x] = aux;
}

int main()
{
    ifstream f("dijkstra.in");
    ofstream gg("dijkstra.out");

    f>>n>>m;
    int x,y,z;
    for(int i=1;i<=m;i++)
    {
        f>>x>>y>>z;
        add(x,y,z);
    }
    dist[1] = 0;
    Q.push(1);
    viz[1] = true;
    for(int i=2;i<=n;i++)
        dist[i] = oo;

    while(! Q.empty()){
        int nd = Q.front();
        Q.pop();

        viz[nd]=false;
        for(nod *p=g[nd];p;p=p->urm)
        {

            int t=p->inf;

            if(dist[nd] + p->cost < dist[t])
            {
                dist[p->inf] = p->cost + dist[nd];

                if(!viz[t])
                {
                    Q.push(t);
                    viz[t]=true;
                }
            }
        }
    }

    for(int i=2;i<=n;i++)
        if(dist[i] == oo)
            gg<<0<<" ";
        else
            gg<<dist[i]<< " ";

    return 0;
}