(A) Write a program for the Online Turing Machine Simulator to simulate a Turing Machine with one tape that recognizes the language O. Language O {w | w ∈ {a, b}* and a(w) <= b(w)}   a(w) = number of a's in a string w.   b(w) = number of b's in a string w.

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(A) Write a program for the Online Turing Machine Simulator to simulate a Turing Machine with one
tape that recognizes the language O.

Language O {w | w ∈ {a, b}* and a(w) <= b(w)}
  a(w) = number of a's in a string w.
  b(w) = number of b's in a string w.

(B) Test the Turing Machine with one tape for:

  • one string from the language O
  • one string from the language M or language N

Language M M = {w | w ∈ {a, b}* and a(w) == b(w)}.
  a(w) = number of a's in a string w.
  b(w) = number of b's in a string w.
Language N N = {w | w ∈ {a, b}* and a(w) >= b(w)}.
  a(w) = number of a's in a string w.
  b(w) = number of b's in a string w.
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