sicp-solutions/chapter-2/ex-2.60.scm

24 lines
635 B
Scheme

#lang sicp
; element-of-set? is the exact same
; O(n)
(define (element-of-set? x set)
(cond ((null? set) false)
((equal? x (car set)) true)
(else (element-of-set? x (cdr set)))))
; O(1)
(define (adjoin-set x set)
(cons x set)) ; we don't have to check anymore
; O(n), where n is the length of set1
(define (union-set set1 set2)
(append set1 set2))
; intersection-set can still be the exact same
; O(n^2)
(define (intersection-set set1 set2)
(cond ((or (null? set1) (null? set2)) '())
((element-of-set? (car set1) set2)
(cons (car set1) (intersection-set (cdr set1) set2)))
(else (intersection-set (cdr set1) set2))))