#include <fstream>
#include <vector>
#include <queue>
#include <climits>
using namespace std;
struct lista{
    int x,c;
};

vector <lista> v[50001];
int i,j,m,n,d[50001],viz[50001],a,b,c;
struct cmp{
    bool operator()(int x, int y){
        return d[x]>d[y];
     }


};
priority_queue < int, vector<int>, cmp > q;

void coada(int x){
    int nod,cost,j,vecin;
    q.push(x);
    viz[x]=1;
    while(!q.empty()){
        nod=q.top();
        q.pop();
        viz[nod]=0;
        for(j=0;j<v[nod].size();j++) {
            vecin=v[nod][j].x;
            cost=v[nod][j].c;
            if(d[nod]+cost<d[vecin]){
                d[vecin]=d[nod]+cost;
                if(viz[vecin]==0){
                    q.push(vecin);
                    viz[vecin]=1;
                }
            }

        }

    }
}
int main()
{
    ifstream cin("dijkstra.in");
    ofstream cout("dijkstra.out");
    cin>>n>>m;
    for(i=1;i<=m;i++){
        cin>>a>>b>>c;
        v[a].push_back({b,c});
    }
    for(i=2;i<=n;i++)
        d[i]=INT_MAX;
    coada(1);
    for(i=2;i<=n;i++)
        if(d[i]!=INT_MAX)
            cout<<d[i]<<" ";
        else
            cout<<0<<" ";
    return 0;
}