#include <fstream>
#include <algorithm>
#include <vector>
#include <set>
#include <climits>
#define NMAX 50100
#define INF INT_MAX
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
vector<int> G[NMAX],C[NMAX];
set< pair<int,int> > coada;
int n,m,d[NMAX];
void citire(){
    f>>n>>m;
    int i,x,y,z;
    for(i=1;i<=m;i++){
        f>>x>>y>>z;
        G[x].push_back(y);
        C[x].push_back(z);
    }
}
void dijkstra(){
    int i;
    for(i=0;i<G[1].size();i++){
        d[G[1][i]]=C[1][i];
        coada.insert(make_pair(d[G[1][i]],G[1][i]));
    }
    for(i=2;i<=n;i++)
        if(d[i]==0)
            d[i]=INF;
    while(!coada.empty()){
        int val=coada.begin()->first;
        int x=coada.begin()->second;
        for(i=0;i<G[x].size();i++)
            if(d[G[x][i]]>val+C[x][i]){
                d[G[x][i]]=val+C[x][i];
                coada.insert(make_pair(d[G[x][i]],G[x][i]));
            }
        coada.erase(coada.begin());
    }
    for(i=2;i<=n;i++)
        if(d[i]==INF)
            g<<0<<' ';
        else
            g<<d[i]<<' ';
}
int main(){
    citire();
    dijkstra();
    return 0;
}