#include <fstream>
#include <vector>
#include <queue>
#include <limits>

using namespace std;

ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");

vector< vector< pair<int,int> > > a;
vector<int> d;
vector<bool> u;
queue<int> q;
int n,m;

int main()
{
    int x,y,z,k;
    cin>>n>>m;
    a=vector< vector< pair<int,int> > >(n+1);
    d=vector<int>(n+1,numeric_limits<int>::max());
    u=vector<bool>(n+1);
    for(;m;m--)
    {
        cin>>x>>y>>z;
        a[x].push_back(make_pair(y,z));
    }
    d[1]=0;
    u[1]=true;
    q.push(1);
    while(!q.empty())
    {
        k=q.front();q.pop();
        u[k]=false;
        for(vector< pair<int,int> >::iterator i=a[k].begin();i!=a[k].end();i++)
            if(d[k]+i->second < d[i->first])
            {
                d[i->first]=d[k]+i->second;
                if(u[i->first]==false)
                {
                    q.push(i->first);
                    u[i->first]=true;
                }

            }
    }
    for(int i=2;i<=n;i++)
    {
        if(d[i]==numeric_limits<int>::max())
            d[i]=0;
        cout<<d[i]<<' ';
    }
    return 0;
}