#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 ComparaDistante
{
    bool operator()(int x,int y)
    {
        return D[x] > D[y];
    }
};

priority_queue < int, vector < int >,ComparaDistante > Coada;

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

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;
                }
           }
        }
    }
}

int main()
{
    Citire();
    Dijkstra(1);
    Afiseaza();
    return 0;
}