#include <iostream>
#include <fstream>
#include <vector>
#include <cstring>
#include <set>
using namespace std;
int n,p,from,to,cost,i,dist[50005],nod,m;
const int INF=0x3f3f3f3f;
vector < pair < int, int> > G[50005];
set < pair < int, int > > h;
ifstream in("dijkstra.in");
ofstream out("dijkstra.out");
int main()
{
    in>>n>>m;
    for (i=1;i<=m;i++)
    {in>>from>>to>>cost;
        G[from].push_back(make_pair(to, cost));
    }
    memset(dist,INF, sizeof dist);
    dist[1]=0;
    h.insert(make_pair(0,1));
    while (!h.empty())
    {
        nod=h.begin()->second;
        h.erase(h.begin());
        for (vector < pair< int, int > > ::iterator it=G[nod].begin(); it!=G[nod].end(); it++)
        {
            int to=it->first;
            int cost=it->second;
            if (dist[to]>dist[nod]+cost)
            {
                if (dist[to]!=INF)
                    h.erase(h.find(make_pair(dist[to],to)));
                dist[to]=dist[nod]+cost;
                h.insert(make_pair(dist[to],to));
            }
        }
    }
    for (i=2; i<=n; i++)
    {
        if (dist[i]==INF)
            dist[i]=0;
        out<<dist[i]<<" ";
    }
}