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Consider language B = {a n b m | n mod m == 0}, i.e., the number of as is divisible by the number of

Consider language B = {anbm | n mod m == 0}, i.e., the number of as is divisible by the number of bs, for example: ab ? B, aaaabb ? B, but abb ? B, aaabb ? B and aaaa ? B. Let TMB the Turing-Machine that recognizes language B.

a. Provide a detailed high-level description of TMBs algorithm.

b. Give a TMs state-diagram that implements that algorithm.

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