#include <iostream>
#include <fstream>
#include <queue>
#include <vector>
using namespace std;
#define MAXN 50010
#define INF 1000000000
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
vector <pair<int,int> > G[MAXN];
priority_queue<pair<int,int> >PQ;
int n,m,x,y,c,dist[MAXN],viz[MAXN],nod;
pair<int,int> aux;
int main()
{
    f>>n>>m;
    while(m--)
    {
        f>>x>>y>>c;
        G[x].push_back(make_pair(y,c));
    }
    for(int i=2; i<=n; i++)
        dist[i]=INF;
    dist[1]=0;
    PQ.push(make_pair(0,1));
    while(PQ.size())
    {
        aux=PQ.top();
        PQ.pop();
        nod=aux.second;
        if(!viz[nod])
        {
        viz[nod]++;
        for(int i=0; i<G[nod].size(); i++)
        {
            if(dist[nod]+G[nod][i].second<dist[G[nod][i].first])
            {
                dist[G[nod][i].first]=dist[nod]+G[nod][i].second;
                PQ.push(make_pair(-dist[i],G[nod][i].first));
            }
        }
        }
    }
    for(int i=2; i<=n; i++)
        {
            if(dist[i]==INF)
                dist[i]=0;
            g<<dist[i]<<' ';
        }
    return 0;
}