#include<fstream>
#include<set>
#include<vector>
#define NMAX 50005
#define infinit 1500000000
using namespace std;
set<pair<int, int> > s;
vector<pair<int, int> > G[NMAX];
long long nod, i, val, fiu, d[NMAX], n, m, x, y, z;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
void dijkstra()
{
    while(!s.empty())
    {
        nod = s.begin() -> second;
        s.erase(*s.begin());
        for(i = 0; i < G[nod].size(); i++)
        {
            val = G[nod][i].first;
            fiu = G[nod][i].second;
            if(d[nod] + val < d[fiu])
            {
                s.erase(make_pair(d[fiu], fiu));
                d[fiu] = d[nod] + val;
                s.insert(make_pair(d[fiu], fiu));
            }
        }
    }
}
int main()
{
    cin >> n >> m;
    for(i = 1; i <= m; i++)
    {
        cin >> x >> y >> z;
        G[x].push_back(make_pair(z, y));
    }
    for(i = 1; i <= n; i++)
    {
        d[i] = infinit;
    }
    d[1] = 0;
    s.insert(make_pair(0, 1));
    dijkstra();
    for(i = 2; i <= n; i++)
    {
        d[i] != infinit ? cout << d[i] << " " : cout << "0 ";
    }
    return 0;
}