#include <iostream>
#include <fstream>
#define NMAX 100100
#define INF 100100
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
vector <pair <int,int> > graf[NMAX];
int dist[NMAX];
int viz[NMAX];
struct compara
{
    bool operator()(int x,int y)
    {
        return dist[x]>dist[y];
    }
};
priority_queue <int, vector<int>, compara> coada;
void Dijkstra(int nodStart)
{

    dist[nodStart] = 0;
    coada.push(nodStart);
    viz[nodStart] = 1;
    while(!coada.empty())
    {
        int nodCurent = coada.top();
        coada.pop();
        viz[nodCurent] = 0;
        int lim = graf[nodCurent].size();
        for(int i = 0; i < lim; i++)
        {
            int vecin = graf[nodCurent][i].first;
            int cost = graf[nodCurent][i].second;
            if(dist[nodCurent] + cost < dist[vecin])
            {
                dist[vecin] = dist[nodCurent] +cost;
                if(viz[vecin] == 0)
                {
                    coada.push(vecin);
                    viz[vecin] = 1;
                }
            }
        }
    }
}
int main()
{
    int n,m,a,b,c,i;
    f>>n>>m;
    for(i=1; i<=m; i++)
    {
        f>>a>>b>>c;
        graf[a].push_back(make_pair(b,c));//[ab] = c
    }
    for(i=1; i<=n; i++)
        dist[i] = INF;
    Dijkstra(1);
    for(i=2; i<=n; i++)
    {
        if(dist[i] == INF)
            g<<0<<" ";
        else g<<dist[i]<<" ";
    }
    return 0;
}