questions.scm

(define (caar x) (car (car x)))
(define (cadr x) (car (cdr x)))
(define (cdar x) (cdr (car x)))
(define (cddr x) (cdr (cdr x)))

; Some utility functions that you may find useful to implement.

(define (cons-all first rests)
  'replace-this-line)

(define (zip pairs)
  'replace-this-line)

;; Problem 17
;; Returns a list of two-element lists
(define (enumerate s)
  ; BEGIN PROBLEM 17
  'replace-this-line
  )
  ; END PROBLEM 17

;; Problem 18
;; List all ways to make change for TOTAL with DENOMS
(define (list-change total denoms)
  ; BEGIN PROBLEM 18
  (define (helper total denoms changes)
    (cond
      ((null? denoms) nil)
      ((< total (car denoms)) nil)
      ((= total (car denoms)) (list (append (cons (car denoms) nil) changes)))
      (else 
        (append  (helper total (cdr denoms) changes) (helper (- total (car denoms)) denoms (append (cons (car denoms) nil) changes))
         
          )        
      )
      )
    )
    (helper total (reverse denoms) nil)
  )

(define (reverse lis)
   (if (null? lis)
       '()
       (append (reverse (cdr lis))
               (list (car lis)))))

(define (cons-all first rests) (map (lambda (n) (cons first n)) rests))
  ; END PROBLEM 18

;; Problem 19
;; Returns a function that checks if an expression is the special form FORM
(define (check-special form)
  (lambda (expr) (equal? form (car expr))))

(define lambda? (check-special 'lambda))
(define define? (check-special 'define))
(define quoted? (check-special 'quote))
(define let?    (check-special 'let))

;; Converts all let special forms in EXPR into equivalent forms using lambda
(define (let-to-lambda expr)
  (cond ((atom? expr)
         ; BEGIN PROBLEM 19
         'replace-this-line
         ; END PROBLEM 19
         )
        ((quoted? expr)
         ; BEGIN PROBLEM 19
         'replace-this-line
         ; END PROBLEM 19
         )
        ((or (lambda? expr)
             (define? expr))
         (let ((form   (car expr))
               (params (cadr expr))
               (body   (cddr expr)))
           ; BEGIN PROBLEM 19
           'replace-this-line
           ; END PROBLEM 19
           ))
        ((let? expr)
         (let ((values (cadr expr))
               (body   (cddr expr)))
           ; BEGIN PROBLEM 19
           'replace-this-line
           ; END PROBLEM 19
           ))
        (else
         ; BEGIN PROBLEM 19
         'replace-this-line
         ; END PROBLEM 19
         )))