User blog comment:LittlePeng9/Random Turing machines/@comment-5529393-20130418180243/@comment-1605058-20130418183109

Yes, this machine uses u on top instead of 0. After analysing Buchholz's proof of his theorem I'm pretty sure these hydras still can't grow infinitely

No, machine doesn't work without multiplier. But I'm sure we can make setup such that even 150 state machine will create that big output