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PreviousDefine a Linear Bounded Automaton (LBA). Design an LBA that accepts the language L = \{a^n b^n c^n | n \ge 1\}. Explain how tape length is restricted.NextDesign a single-tape Turing Machine that multiplies two unary numbers, where the input is of the form 1^m 0 1^n and the output is 1^{m \times n}. Clearly define the input alphabet, tape alphabet, and halting condition. Simulate the working of the Turing Machine on the input string 1101.