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

    for (int i = 1; i <= N; i++) D[i] = 100000000;
    //memset(D, , sizeof(D));
    D[1] = 0;
    Heap.insert( {0, 1} );

    while (!Heap.empty())
    {
        NOD nod = *Heap.begin();
        Heap.erase(nod);

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

    for (int i = 2; i <= N; i++)
    {
        fout << (D[i] != 100000000 ? D[i] : 0) << ' ';
    }
    fout << '\n';
    fout.close();
    return 0;
}