Adjoin-set for the ordered representation

Give an implementation of adjoin-set using the ordered representation. By analogy with element-of-set? show how to take advantage of the ordering to produce a procedure that requires on the average about half as many steps as with the unordered representation.


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(define x (adjoin-set 2 '()))
(define y (adjoin-set 0 x))
(define z (adjoin-set 1 y))
(define q (adjoin-set 1 z))

(check-equal? z q)
(check-equal? (adjoin-set 1 (adjoin-set 0 (adjoin-set 2 '())))
              (adjoin-set 1 (adjoin-set 2 (adjoin-set 0 '()))))