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Consider the following two languages i.e. Language-1 and Language-2 to solve the given questions. Language-1: Over the = {a,b}, a language that accepts all strings

Consider the following two languages i.e. Language-1 and Language-2 to solve the given questions.

Language-1:

Over the = {a,b}, a language that accepts all strings with number of a and b collectively divisible by 6.

Language-2:

Over the = {a,b}, a language that accepts all strings with number of a and b collectively divisible by 6 and number of as is divisible by 3.

  1. Write Regular Expressions for the given languages.
  2. Construct Deterministic Finite Automata (DFA) for the given languages.

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