#include<cstdio>
#include<vector>
#include<queue>
using namespace std;
typedef pair<int,int>ii;
typedef vector<int>vi;
typedef vector<int>vii;
const int INF=1000000000;
const int NMAX=50000;
vector<ii>G[NMAX+5];
int main()
{
    freopen("dijkstra.in","r",stdin);
    freopen("dijkstra.out","w",stdout);
    int n,m,u,v,w,i;
    scanf("%d%d",&n,&m);
    for(i=1; i<=m; ++i)
    {
        scanf("%d%d%d",&u,&v,&w);
        G[u].push_back(ii(v,w));
    }
    vi dist(n+1,INF);
    dist[1]=0;
    priority_queue<ii, vector<ii>, greater<ii> > pq;
    pq.push(ii(0,1));
    while(!pq.empty())
    {
        ii front=pq.top();
        pq.pop();
        int d=front.first;
        int u=front.second;
        if(d>dist[u])
            continue;
        for(int j=0; j<(int)G[u].size(); ++j)
        {
            int v=G[u][j].first;
            int duv=G[u][j].second;
            if(dist[u]+duv<dist[v])
            {
                dist[v]=dist[u]+duv;
                pq.push(ii(dist[v],v));
            }
        }
    }
    for(i=2; i<=n; ++i)
    {
        printf("%d ",dist[i]);
    }
    return 0;
}