#include <fstream>
#include <vector>
#include <deque>
#define INF 2000000000

using namespace std;

ifstream f("dijkstra.in");
ofstream g("dijkstra.out");

int i, n, m, a, b, cost, drum_curent, nodC, nod, drum_minim[50002], vizitat[50002];

struct graf
{
    int nod, cost;
}aux;

vector <graf> v[50002];

deque <int> c;

int main()
{
    f>>n>>m;
    for(i = 1;i <= m; ++ i)
    {
        f>>a>>b>>cost;
        aux.nod = b;
        aux.cost = cost;
        v[a].push_back(aux);
    }

    for(i = 2;i <= n; ++ i)
        drum_minim[i] = INF;

    c.push_back(1);
    vizitat[1] = 1;

    while(!c.empty())
    {
        nod = c.front();
        for(i = 0;i < v[nod].size(); ++ i)
        {
            drum_curent = drum_minim[nod] + v[nod][i].cost;
            nodC = v[nod][i].nod;
            if(drum_curent < drum_minim[nodC])
                {
                    drum_minim[nodC] = drum_curent;
                    c.push_back(nodC);
                }

        }
        c.pop_front();
    }

    for(i = 2;i <= n; ++ i)
        g<<drum_minim[i]<<" ";

    return 0;
}