#include <fstream>
#include <vector>
#include <queue>
#define INF 10000001;
using namespace std;

ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
int n,m,d[50001];
vector <int> G[50001],C[50001];
void dijkstra(int start)
{
    queue <int> que;
    d[start]=0;
    que.push(start);
    while(!que.empty())
    {
        int v = que.front();
        for(unsigned int i=0; i<G[v].size(); ++i)
        {
            int j = G[v][i];
            if(d[j] > d[v] + C[v][i])
            {
                d[j] = d[v] + C[v][i];
                que.push(j);
            }
        }
        que.pop();
    }
}
int main()
{
    cin>>n>>m;
    while(m--)
    {
        int x,y,c;
        cin>>x>>y>>c;
        G[x].push_back(y);
        C[x].push_back(c);
    }
    for(int i=2;i<=n;i++)
        d[i]=INF;
    dijkstra(1);
    for(int i=2;i<=n;i++)
        cout<<d[i]<<' ';
    return 0;
}