#include<iostream>
#include<fstream>
#include<vector>
#include<queue>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int pret[50001];
vector <pair<int,int> > a[250001];
queue <int> q;
void dijkstra()
{
    int nod,b,c;
    q.push(1);
    while (!q.empty())
    {
        nod=q.front();
        for (int i=0;i<a[nod].size();i++)
        {
            b=a[nod][i].first;
            c=a[nod][i].second;
            if ((pret[b]>pret[nod]+c) || (pret[b]==0))
            {
                pret[b]=pret[b]+c;
                q.push(b);
            }
        }
        q.pop();
    }
}
int main ()
{
    int n,m;
    fin>>n>>m;
    for (int i=1;i<=m;i++)
    {
        int x,y,z;
        fin>>x>>y>>z;
        a[x].push_back(make_pair(y,z));
    }
    dijkstra();
    for (int i=2;i<=n;i++)
    {
        fout<<pret[i]<<" ";
    }
}