#include <fstream>
#include <vector>
#include <limits.h>
#include <utility>
#include <queue>

using namespace std;
ifstream in("dijkstra.in");
ofstream out("dijkstra.out");

int main()
{
    int i,n,m,x,y,cost,index;
    vector < int> vect[50005];
    vector < int> vectc[50005];
    priority_queue <pair <int,int> > mh;
    int viz[50005]={0};
    int dist[50005];
    in>>n>>m;
    for(i=1;i<=m;i++){
        in>>x>>y>>cost;
        vect[x].push_back(y);
        vectc[x].push_back(cost);
    }

    dist[1]=0;
    for(i=2;i<=n;i++)
        dist[i]=INT_MAX;
    mh.push(make_pair(0,1));
    while(!mh.empty()){
        pair<int,int> p=mh.top();
        mh.pop();
        index=p.second;
        if(viz[index]==1)
            continue;
        viz[index]=1;


        int lim=vect[index].size();
        for(int i=0;i<lim;i++){
            int vecin=vect[index][i];
            if(dist[vecin]>dist[index]+vectc[index][i]){
                dist[vecin]=dist[index]+vectc[index][i];
                mh.push(make_pair(-dist[vecin],vecin));
            }
        }
    }
    for(i=2;i<=n;i++)
        if(dist[i]==INT_MAX)
            out<<0<<" ";
        else
            out<<dist[i]<<" ";
    return 0;
}