Program dijkstra;
type lista = ^celula;
     celula = record
                    nod : longint;
                    cost : longint;
                    pred : lista;
               end;
const INF=999999999;
var Lda : array [1..50005] of lista;
    r  :lista;
    H,D: array [1..50051] of longint;
    n,i,a,b,c,v,k,aux,p,lungime: longint;
 
procedure swap(var x,y : longint);
  var aux : longint;
    begin
       aux:=x;
       x:=y;
       y:=aux;
    end;
 
procedure ridica(k : longint);
   var aux : longint;
     begin
          while (k>1) and (D[H[k]]<D[H[k div 2]]) do begin
                                                         swap(H[k],H[k div 2]);
                                                         k:=k div 2;
                                                      end;
    end;
 
procedure add (v,c : longint; var p : lista);
  var r : lista;
     begin
        new(r);
        r^.nod:=v;
        r^.cost:=c;
        r^.pred:=p;
        p:=r;
     end;
begin
   assign(input,'dijkstra.in'); reset(input);
   assign(output,'dijkstra.out'); rewrite(output);
   readln(n,p); aux:=n;
   for i:=1 to p do begin
                        readln(a,b,c);
                        add(b,c,lda[a]);
                    end;
 
   for i:=2 to n do D[i]:=INF;
   H[1]:=1;
   lungime:=1;
   while lungime>0 do begin
                          v:=H[1];
                          r:=lda[v];
                          H[1]:=H[lungime];
                          lungime:=lungime-1;
   while r<>nil do begin
                    if D[v]+r^.cost<D[r^.nod] then
                                                  begin
                            D[r^.nod]:=D[v]+r^.cost;
                            lungime:=lungime+1;
                            H[lungime]:=r^.nod;
                            ridica(lungime);
                                                  end;
                         r:=r^.pred;
                    end;
 
                   end;
   for i:=2 to aux do
                   if D[i]=INF then write(0,' ')
                               else write(D[i],' ');
  close(input);
   close(output);
end.