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Tiham and Shakur play a game. First, Tiham chooses any positiveinteger a with 1 < a ≤ 58. Then Shakur chooses a positiveinteger b with b < a. Let f(a, b) be the smallest positive integer{bf(a,b)÷a}such that is an integer. Tiham's goal is to make f(a,b)as large as possible while Shakur's goal is to make f(a, b) assmall as possible. What value should Tiham choose for a? ​

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