Program dijkstra;
type lista = ^celula;
     celula = record
                    nod : longint;
                    cost : longint;
                    pred : lista;
               end;
const INF=200000000;
var Lda : array [1..50005] of lista;
    r  :lista;
    H,D: array [1..50005] of longint;
    n,i,a,b,c,v,k,aux1,p,lungime,aux: longint;

procedure swap(var x,y : longint);
var aux : longint;
  begin
    aux:=x; x:=y; y:=aux;
    end;

procedure coboara(k : longint);
  var fiu : longint;
    begin
         repeat
               fiu:=0;
               if k*2<=lungime then
                  begin
                       fiu:=k*2;
                       if  (k*2<lungime) then
                           if (D[H[k*2+1]]<D[H[k*2]]) then fiu:=k*2+1;
                       if D[H[fiu]]>=D[H[k]] then fiu:=0
                  end;
                  if fiu<>0 then begin
                                       swap(H[k],H[fiu]);
                                       k:=fiu;
                                 end;

         until fiu=0;
   end;

begin
   assign(input,'dijstra.in'); reset(input);
   assign(output,'dijkstra.out'); rewrite(output);
   readln(n,p); aux1:=n;
   for i:=1 to p do begin
                        readln(a,b,c);
                        new(r);
                        r^.nod:=b;
                        r^.cost:=c;
                        r^.pred:=lda[a];
                        lda[a]:=r;
                    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;
                          coboara(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;
                                                      k:=lungime;
       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;
                        r:=r^.pred;
                    end;

                   end;
   for i:=2 to aux1 do
                   if D[i]=INF then write(0,' ')
                               else write(D[i],' ');
   close(input);
   close(output);
end.