Turing Machine Intro - problems 249 and 250

Some time ago some of colleagues proposed us having some tasks related to Turing Machine. The topic is bit difficult - not in regard of implementing / using TM, bur in regard of inventing less or more curious problems. However, browsing the internet I found TMs are still discussed in programming courses with some examples and even exercises given. So decided to give it a try.

Now we have small interpreter on the site, with its syntax described along with the Turing Machine concent itself.

And here come two first small puzzles: Turing Increment #249 and Turing Clone #250. Probably reading instruction will take more time than solving, but let's see :)