#include <iostream>
#include <fstream>
#include <set>
#include <vector>
using namespace std;

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

int n, m;
int distanta[50005];
bool inclusInHeap[50005];

vector < pair < int, int > > legaturi[50005];

multiset < int > heap;
int ordineCronologica[50005];

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

}

void Dijkstra (int nodStart)
{
    for (int i = 1; i <= n; i++)
    {
        distanta[i] = -1;
    }

    distanta[nodStart] = 0;

    heap.insert(distanta[nodStart]); //am modificat aici
    ordineCronologica[distanta[nodStart]] = nodStart;
    inclusInHeap[nodStart] = true;

    while(!heap.empty())
    {
        int distantaCurenta = *heap.begin();
        int nodCurent = ordineCronologica[distantaCurenta];
        heap.erase(heap.begin());

        inclusInHeap[nodCurent] = false;

        for (int i = 0; i < legaturi[nodCurent].size(); i++)
        {
            int vecin = legaturi[nodCurent][i].first;
            int cost = legaturi[nodCurent][i].second;

            if ( (distanta[nodCurent] + cost < distanta[vecin])
                 || distanta[vecin] == -1)
            {
                distanta[vecin] = distanta[nodCurent] + cost;
                if (inclusInHeap[vecin] == false);
                {
                    heap.insert(distanta[vecin]);
                    ordineCronologica[distanta[vecin]] = vecin;
                    inclusInHeap[vecin] = true;
                }
            }
        }
    }


}

void Afisare()
{
    for (int i = 2; i <= n; i++)
    {
        if (distanta[i] != -1)
        {
            fout << distanta[i] << ' ';
        }
        else
        {
            fout << '0' << ' ';
        }
    }
}

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