#include <fstream>
#include <queue>
#include <vector>
#define f first
#define s second
#define pinf 1000000007
using namespace std;

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

int n, m, c, x, y, d[50005], pmin, viz[50005];

vector < pair <int, int> > v[50005];
priority_queue < pair <int, int>, vector < pair <int, int> >, greater < pair <int, int> > > pq;

int main()
{
    int i;

    fin>>n>>m;

    for (i=1; i<=m; i++)
    {
        fin>>x>>y>>c;
        v[x].push_back(make_pair(c, y));
    }

    viz[1]=1;

    for (auto it:v[1])
    {
        pq.push(it);
        d[it.s]=it.f;
    }

    while (pq.size()!=0)
    {
        pmin=pq.top().s;
        pq.pop();

        viz[pmin]=1;

        for (auto it:v[pmin])
        {
            if (viz[it.s]==0)
            {
                pq.push(make_pair(d[pmin]+it.f, it.s));
                d[it.s]=d[pmin]+it.f;
            }
        }
    }

    for (i=2; i<=n; i++)
        fout<<d[i]<<" ";

    fin.close();
    fout.close();
    return 0;
}