#include <bits/stdc++.h>
#define nmax 50001
#define oo 10000000
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
vector<pair<int,int> >h[nmax];
priority_queue<pair<int,int> >mn;
int n,m,d[nmax],viz[nmax];
void Citire()
{
    int x,y,c,i;
    fin>>n>>m;
    for(i=1; i<=m; i++)
    {
        fin>>x>>y>>c;
        h[x].push_back(make_pair(y,c));///graf orientat
    }
}
void Dijkstra()
{
    int i,x,p,q;
    for(i=2; i<=n; i++)
        d[i]=oo;
    mn.push(make_pair(0,1));
    while(!mn.empty())
    {
        x=mn.top().second;
        mn.pop();
        if(!viz[x])
        {
            viz[x]=1;
            for(i=0; i<h[x].size(); i++)
            {
                q=h[x][i].first;
                p=h[x][i].second;
                if(d[q]>d[x]+p) ///am gasit un "cost" mai bun
                {
                    d[q]=d[x]+p;
                    mn.push(make_pair(-d[q],q));/// ca valorea maxima sa fie "in fata"
                }
            }
        }
    }
    for(i=2; i<=n; i++)
        if(d[i]==oo)
            fout<<"0 ";
        else fout<<d[i]<<" ";
}
int main()
{
    Citire();
    Dijkstra();
    fin.close();
    fout.close();
    return 0;
}