Description
Exercise 1: Building Lists
Use cons to build the following lists:
'(3 4)
'(1 2 3)
'(a (b c))
'(1)
'(2 (3 (4)))
Exercise 2: List Entries
Use car and cdr to obtain the elements from the list.
; Example:
; (define L '(1 2 3 4 5))
;
; (car L)
; => 1
;
; (cdr L)
; => '(2 3 4 5)
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Combine calls car and cdr to get the element 2, 3, 4 and 5 from the list L (4 solutions).
; (define L '(1 2 3 4 5))
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Combine calls car and cdr to get the element 2 and 5 from the list LL (2 solutions).
; (define LL '(1 (2 3 4) (5)))
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Note that you can use shorthand commands such
; (cadr '(1 2))
; => 2
; (car (cdr '(1 2)))
; => 2
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Exercise 3: Integer Range
Give a function that creates a list with integers in the specified range.
; The function takes two indices, i and k, and produces the integers
; between i and k including i and k.
;
; Example:
; (range 4 9)
; => (4 5 6 7 8 9)
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Exercise 4: Sum of Squares Digit
Consider the digits d_k,d_(k-1),…,d_1,d_0 of a positive integer number. The squares of the digits are then s = d_k^2 + d_(k-1)^2 + … + d_1^2 + d_0^2.
Create a function sosd that calculates the sum of square digits.
; The function calculates the sum of square digits.
;
; Example:
; (sosd 130)
; => 10
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Exercise 5: Every k-th element
; The function takes a list and an number selecting every kth
; element. Start counting at 1.
;
; Example:
; (drop '(a b c d e f g h i k) 3)
; => (a b d e g h k)
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Exercise 5 and Quiz: List Manipulation
Define a function addSubList that processes a list of lists of numbers and adds up all sub-lists. The output of your function is a flat list of numbers. (You can assume that your function only receives valid input).
(define Q '(1 2 (3 4) 1 5 (7 8)))
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; (addSubList Q)
; => '(1 2 7 1 5 15)
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