#include<fstream>
#include<vector>
#include<queue>
using namespace std;

#define NMAX 50005
#define INF (1<<30)

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

struct nod{
    int vf;
    int cost;
};
class cmp{
public:
    bool operator()(nod a, nod b){
        return a.cost > b.cost;
    };
};

vector <nod> v[NMAX];
priority_queue <nod, vector<nod>, cmp> h;

int n,m;
int d[NMAX];
bool viz[NMAX];

nod make_nod(int x, int c)
{
    nod z;
    z.vf=x, z.cost=c;
    return z;
}

void citire(){
    int x,y,cost;
    fin>>n>>m;

    for(int i=1;i<=m;i++){
        fin>>x>>y>>cost;
        v[x].push_back(make_nod(y,cost));
    }
}

void Dijkstra(int s){

    h.push(make_nod(s,0));
    viz[s]=1;
    while(!h.empty()){
        nod z=h.top();
        h.pop();

        for(unsigned int i=0;i<v[z.vf].size();i++){
            int x=v[z.vf][i].vf;
            int  cost=v[z.vf][i].cost;

            if(viz[x]==0 && d[x]>z.cost+cost){
                d[x]=z.cost+cost;
                viz[x]=1;
                h.push(make_nod(x,d[x]));
            }
        }
    }
}

int main(){
    citire();
    for(int i=2;i<=n;i++)
        d[i]=INF;
    Dijkstra(1);
    for(int i=2;i<=n;i++)
        if(d[i]==INF)
            fout<<0<<" ";
        else
            fout<<d[i]<<" ";
    return 0;
}