#include<fstream>
#include<vector>
#include<set>
#define inf 2147483648
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
int n, m, nod, i, vecin, cost, costv;
long long d[50003], minim;
bool viz[50003];
vector< pair<int, int> > l[250003];
set< pair<int, int> > heap;
int main()
{
    f>>n>>m;
    for(i=1;i<=m;i++)
    {
        int x, y, c;
        f>>x>>y>>c;
        l[x].push_back(make_pair(y, c));
    }
    for(i=2;i<=n;i++)
        d[i]=inf;
    heap.insert(make_pair(0, 1));
    while(!heap.empty())
    {
        nod=heap.begin()->second;
        cost=heap.begin()->first;
        viz[nod]=1;
        heap.erase(heap.begin());
        for(vector< pair<int, int> > :: iterator it=l[nod].begin(); it!=l[nod].end(); it++)
        {
            vecin=it->first;
            costv=it->second;
            if(d[vecin]>costv+cost && viz[vecin]==0)
            {
                heap.erase(make_pair(d[vecin], vecin));
                d[vecin]=costv+cost;
                heap.insert(make_pair(d[vecin], vecin));
            }
        }
    }
    for(i=2;i<=n;i++)
        if(d[i]!=inf)
            g<<d[i]<<" ";
        else g<<"0 ";
    return 0;
}