function [str2,QQ] = run_sst(DFST,str)
% str2 is the output string
% QQ is the sequence of states that the automaton traverses

q = DFST.q0;
QQ = [q];
str2 = '';
for i=1:length(str)
  s = str(i);
  [q,t] = sst_delta(DFST,q,s); 
  QQ(end+1) = q;
  str2 = [str2 t];
end

return