#include <fstream>
#include <iostream>
#include <utility>
#include <vector>
#include <queue>
#define MAXN 50000
#define MAXM 100000
#define inf 1000000000

using namespace std;
priority_queue< pair<int, int> >heap;
int D[MAXN + 1], d[MAXN + 1];
vector< pair<int, int> >v[MAXN + 1];

void Dijkstra(int distanta, int start)
{
    int i;

    heap.push({distanta, start});

    while(!heap.empty())
    {
        pair<int, int>nod = heap.top();
        heap.pop();
        pair<int, int>vecin;

        for(i = 0; i < v[nod.second].size(); i++)
        {
            vecin.first = v[nod.second][i].second + -nod.first;
            vecin.second = v[nod.second][i].first;

            if(d[vecin.second] > vecin.first)
            {
                d[vecin.second] = vecin.first;

                heap.push({-vecin.first, vecin.second});
            }
        }
    }
}
int main()
{
    int t, n, m, s, i, j, a, b, c, semafor;

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

    //fin >> t;
    t = 1;
    for(i = 1; i <= t; i++)
    {
        fin >> n >> m;

        s = 1;
        //for(j = 1; j <= n; j++)fin >> D[j];

        for(j = 1; j <= m; j++)
        {
            fin >> a >> b >> c;
            v[a].push_back({b, c});
            v[b].push_back({a, c});
        }

        for(j = 1; j <= n; j++)d[j] = inf;
        d[s] = 0;
        //if(d[s] == D[s])
        //{
            Dijkstra(0, s);
            for(j = 1; j <= n; j++)v[j].clear();
            for(j = 2; j <= n; j++)fout << d[j] << " ";
            fout << endl;
           /* semafor = 1;
            for(j = 1; j <= n && semafor == 1; j++)if(d[j] != D[j])semafor = 0;

            if(semafor == 1)fout << "DA" << '\n';
            else fout << "NU" << '\n';
        }
        else
            fout << "NU" << '\n';*/
    }

    fin.close();
    fout.close();

    return 0;
}