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#lang racket
(define lower 1)
(define upper 100)
(define (start n m)
(set! lower (min n m))
(set! upper (max n m))
(guess))
(define (guess)
(quotient (+ lower upper) 2))
(define (smaller)
(set! upper (max lower (sub1 (guess))))
(guess))
(define (bigger)
(set! lower (min upper (add1 (guess))))
(guess))
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