#include <bits/stdc++.h>

using namespace std;
vector <pair<int, int> > A[50001];

const int inf = 1 << 30;

int d[50001];
set <pair<int, int> >S;
int afis[50001];
int viz[50001];

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

    int n, m;
    f>>n>>m;
    for (int i = 0; i < m; i++)
    {
        int x, y, c;
        f>>x>>y>>c;
        A[x].push_back(make_pair(y, c));
    }
	for (int i = 2; i <= n; i++)
    {
     S.insert(make_pair(inf, i));
     d[i] = inf;
	}

    S.insert(make_pair(0, 1));
    int node = 1;
    for (int i = 1; i <= n; i++)
    {
        pair<int,int> p = *(S.begin());
        node = p.second;
        for (int j = 0; j < A[node].size(); j++)
        {
            if (d[node] + A[node][j].second < d[A[node][j].first])
            {
                S.erase(make_pair(d[A[node][j].first], A[node][j].first));
                d[A[node][j].first] = d[node] + A[node][j].second;
                S.insert(make_pair(d[A[node][j].first], A[node][j].first));
            }
        }
        S.erase(p);
    }

    for (int i = 2; i <= n; i++)
    {
        if (d[i] != inf )g<<d[i]<<" ";
	    else g<<0<<" ";
    }

    return 0;

}