#include <iostream>
#include <fstream>
#include <vector>
#include <queue>

using namespace std;
ifstream fin("dijkstra.in");
ofstream fout ("dijkstra.out");

const int Nmax = 50005, oo = (1 << 30) - 1;
int n, m, d[Nmax];

vector < pair < int, int> > G[Nmax];
struct compara
{

    bool operator()(int x, int y)
    {
        return d[x] > d[y];
    }
};

priority_queue< int, vector<int>, compara> coada;
bool InCoada[Nmax];

void cit()
{
    fin >> n >> m;
    for(int i = 1 ; i <= m ; i++)
    {
        int x, y, c;
        fin >> x >> y >> c;
        G[x].push_back(make_pair(y,c));
    }
}

void afisare()
{
    for(int i = 2 ; i <= n ; i++)
        if( d[i] != oo)
        fout << d[i] << " ";
    else
        fout << 0 << " ";
}

void Dijkstra(int start)
{
    coada.push(start);
    InCoada[start] = true;

    for(int i = 2 ; i <= n ; i++)
        d[i] = oo;

    while(!coada.empty())
    {
        int varf = coada.top();
        coada.pop();
        InCoada[varf] = false;
        for( auto j : G[varf])
        {
            int vecin = j.first;
            int cost = j.second;
            if(d[vecin] > d[varf] + cost)
                d[vecin] = d[varf] + cost;
            if(InCoada[vecin] == false)
            {
                coada.push(vecin);
                InCoada[vecin] = true;
            }
        }
    }

}
int main()
{
    cit();
    Dijkstra(1);
    afisare();
    return 0;
}