#include <iostream>
#include <fstream>
#include <bits/stdc++.h>

#define nmax 50050
const int inf = 0x3f3f3f3f;

using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");

vector <pair<int,int>> la[nmax];
int d[nmax];
set <pair<int,int>> s;



int main()
{   int n,m,x,y,c;
    f>>n>>m;

    // Se introduc perechile (nod, cost) in liste de adiacenta
    for(int i=1; i<=m; i++){
        f>>x>>y>>c;
        la[x].push_back(make_pair(y,c));
    }

    memset(d, inf, sizeof(d));
    d[1]=0;

    for(int j=1; j<=n; j++){
        s.insert(make_pair(j,d[j]));
    }

    while(!s.empty()){
        int nod = s.begin()->first;
        int dmin = s.begin()->second;
        s.erase(s.begin());
        for(int k=0; k<la[nod].size(); k++){
            if(dmin+la[nod][k].second< d[la[nod][k].first]){
                if(d[la[nod][k].first] != inf){
                    s.erase(s.find(make_pair(la[nod][k].first, d[la[nod][k].first])));
                }
                d[la[nod][k].first] = dmin+la[nod][k].second;
                s.insert(make_pair(la[nod][k].first, d[la[nod][k].first]));
            }
        }
    }

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

    f.close();
    g.close();
    return 0;
}