#include <fstream>
#include <vector>
#include <set>
#define DIM 50001
#define INF 1000000001
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n,m,x,y,c,d[DIM];
vector<pair<int,int> > l[DIM];
set<pair<int,int> > s;
int main()
{
    fin>>n>>m;
    for (int i=1; i<=n; i++)
        d[i]=INF;
    d[1]=0;
    for (int i=1; i<=m; i++)
    {
        fin>>x>>y>>c;
        l[x].push_back(make_pair(y,c));
    }
    s.insert(make_pair(c,1));
    while (!s.empty())
    {
        int nod=s.begin()->second;
        s.erase(s.begin());
        for (int i=0; i<l[nod].size(); i++)
        {
            int vec=l[nod][i].first;
            int cost=l[nod][i].second;
            if (d[nod]+cost<d[vec])
            {
                s.erase(make_pair(d[vec],vec));
                d[vec]=d[nod]+cost;
                s.insert(make_pair(d[vec],vec));
            }
        }
    }
    for (int i=2; i<=n; i++)
        if (d[i]==INF)
            fout<<"0 ";
        else
            fout<<d[i]<<" ";
    return 0;
}