#include <fstream>
#include <vector>
#include <set>
#include <cstring>
#define Max_Size 50010
#define Max_Val 0x3f3f3f3f
using namespace std;
ifstream fin ("dijkstra.in");
ofstream fout ("dijkstra.out");
int N, M, D[Max_Size];
vector < pair < int, int > > V[Max_Size];
multiset < pair < int, int > > Heap;

int main()
{
    fin >> N >> M;
    for (int i = 1, x, y, c; i <= M; i++)
    {
        fin >> x >> y >> c;
        V[x].push_back(make_pair(y, c));
    }

    memset(D, Max_Val, sizeof(D));
    D[1] = 0;
    Heap.insert( { 0, 1 } );

    while (!Heap.empty())
    {
        pair < int, int > aux = *Heap.begin();
        Heap.erase(aux);

        for (vector < pair < int, int > > :: iterator it = V[aux.second].begin(); it != V[aux.second].end(); it++)
        {
            if (D[aux.second] + it->second < D[it->first])
            {
                Heap.erase(make_pair(D[it->first], it->first));
                D[it->first] = D[aux.second] + it->second;
                Heap.insert(make_pair(D[it->first], it->first));
            }
        }
    }

    for (int i = 2; i <= N; i++) {
        fout << (D[i] == Max_Val ? 0 : D[i]) << ' ';
    }
    fout << '\n';
    fout.close();
    return 0;
}