#include <bits/stdc++.h>
#define inf 1e9
using namespace std;
const int nmax=5e4+3;
int n,m,a,b,c,nod,dist[nmax];
vector < pair<int,int> > v[nmax];
priority_queue < pair<int,int> > q;
int main()
{
    freopen("dijkstra.in","r",stdin);
    freopen("dijkstra.out","w",stdout);
    scanf("%d%d",&n,&m);
    for(int i=1;i<=m;++i)
    {
        scanf("%d%d%d",&a,&b,&c);
        v[a].push_back({c,b});
    }
    for(int i=1;i<=n;++i) sort(v[i].begin(),v[i].end());
    q.push({0,1});
    for(int i=2;i<=n;++i) dist[i]=inf;
    while(!q.empty())
    {
        nod=q.top().second;
        q.pop();
        for(int i=0;i<v[nod].size();++i)
        {
            if(dist[v[nod][i].second]>dist[nod]+v[nod][i].first)
            {
                dist[v[nod][i].second]=dist[nod]+v[nod][i].first;
                q.push({-dist[v[nod][i].second],v[nod][i].second});
            }
        }
    }
    for(int i=2;i<=n;++i)
    {
        if(dist[i]==inf) printf("0 ");
        else printf("%d ",dist[i]);
    }
    return 0;
}