#include <fstream>
#include <vector>
#include <queue>
#include <climits>
#define w 50001
#define pp pair<int,int>
#define x first
#define y second
using namespace std;
priority_queue <pp> q;
vector <pp> a[w];
int d[w];
void dij()
{
    pp t,r;int i;
    while (!q.empty())
    {
        t=q.top();
        q.pop();
        for (i=0;i<a[t.y].size();i++)
        {
            r=a[t.y][i];
            if (d[r.y]>d[t.y]+r.x)
            {
                d[r.y]=d[t.y]+r.x;
                q.push(make_pair(-d[r.y],r.y));
            }
        }
    }
}
int main()
{
    ifstream f("dijkstra.in");
    ofstream g("dijkstra.out");
    int n,i,m,x,y,cost;
    f>>n>>m;
    for (i=1;i<=m;i++)
    {
        f>>x>>y>>cost;
        a[x].push_back(make_pair(cost,y));
    }
    for (i=2;i<=n;i++) d[i]=INT_MAX;
    q.push(make_pair(0,1));
    dij();
    for (i=2;i<=n;i++)
    {
        if (d[i]==INT_MAX) g<<"0 ";
        else g<<d[i]<<" ";
    }
    g<<'\n';
    f.close();
    g.close();
    return 0;
}