Question 3. a) Design a NTM (Non-deterministic TM) that accepts all strings over {a, b, c}* that contain substrings in which either a symbol c exists before the string ab or after that. That is one of the substrings cab or abc should be available in the strings accepted by the machine. b) Use "yield" relation and show why in your designed NTM, the input string ccab belongs to the language accepted by NTM. Show all your work. c) Now use "yield" relation and show whether the input string abbbc is accepted by this NTM or not? Why? Show all your work.

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