#include <fstream>
#include <queue>
#include <vector>
#define NM 50005
#define mp make_pair
#define oo 2100000000
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
int n,m,d[NM];
bool viz[NM];
vector<pair<int,int> > v[NM];
struct ok
{   bool operator()(int x,int y)
    {   return d[x]>d[y];   }
};
priority_queue<int,vector<int>,ok> coada;
void Dijksta(int nod)
{   for(int i=1; i<=n; i++) d[i]=oo;
    d[nod]=0;
    viz[nod]=1;
    coada.push(nod);
    while(!coada.empty())
    {   int x=coada.top();
        coada.pop();
        for(unsigned int j=0; j<v[x].size(); j++)
        {   int nd=v[x][j].first;
            int cost=v[x][j].second;
            if(d[x]+cost<d[nd])
            {   d[nd]=d[x]+cost;
                if(!viz[nd])
                {   viz[nd]=1;
                    coada.push(nd);
                }
            }
        }
    }
}
int main()
{   f>>n>>m;
    while(m--)
    {   int x,y,val;
        f>>x>>y>>val;
        v[x].push_back(mp(y,val));
    }
    Dijksta(1);
    for(int i=2; i<=n; i++)
        if(d[i]==oo) g<<0<<' ';
            else g<<d[i]<<' ';
}