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

using namespace std;

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

const int nMax = 50005;
const int oo = (1 << 30);

int n, m;
int D[nMax];
bool InCoada[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;

void citeste()
{
    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 dijkstra(int nodStart)
{
    for(int i=1; i<=n; i++)
        D[i]=oo;
    D[nodStart]=0;
    Coada.push(nodStart);
    InCoada[nodStart] = true;
    while(!Coada.empty())
    {
        int nodCurent = Coada.top();
        Coada.pop();

        InCoada[nodCurent] = false;
        for(size_t i=0; i < G[nodCurent].size(); i++)
        {
            int Vecin = G[nodCurent][i].first;
            int Cost = G[nodCurent][i].second;
            if(D[nodCurent] + Cost < D[Vecin])
            {
                D[Vecin] = D[nodCurent] + Cost;
                if(InCoada[Vecin] == false)
                {
                    Coada.push(Vecin);
                    InCoada[Vecin] = true;
                }
            }
        }
    }
}

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

int main()
{
    citeste();
    dijkstra(1);
    afisare();
}