Show last appearance of element in list - scheme

I want to show the last appearance of an element from a given list. For example: For the list '(1 1 2 1 3 3 4 3 5 6), the result will be '(2 1 4 3 5 6)
This is the code I have:
(define (func L res)
(if (not (null? L))
(foldl (lambda (e)
(if (not (member e (cdr L)))
(cons e (remove-duplicates-right (cdr L)))
(remove-duplicates-right (cdr L))))
res L)
res))
(define (show-last-app L)
(func L '()))
The next error occurs: "foldl: given procedure does not accept 2 arguments"
This is how I solved it only with recursion but I want to use only foldl or filter and don't use functions with side effects:
(define (show-last-app L)
(cond
((null? L)
'())
((not (member (car L) (cdr L)))
(append (list (car L)) (show-last-app (cdr L))))
(else (show-last-app (cdr L)))))

I think you misunderstand how folds work in Scheme. This is closer to what you were aiming for:
(define (show-last-app L)
(foldr (lambda (e acc)
(if (not (member e acc))
(cons e acc)
acc))
'()
L))
If you really, really have to use foldl:
(define (show-last-app L)
(foldl (lambda (e acc)
(if (not (member e acc))
(cons e acc)
acc))
'()
(reverse L)))
Either way, it works as expected:
(show-last-app '(1 2 4 1 5 3 1 6 2))
=> (4 5 3 1 6 2)

Related

Create palindrom function without append function in output in scheme

i am trying to create palyndrom function which is doing palyndrom from input string. Something like this: (palindrome '(1 2 3 4)) ==> (1 2 3 4 3 2 1).
I have created this code below but it is returning me (palindrome '(1 2 3 4)) ==> (1 (2 (3 (4) 3) 2) 1)
My code is below. Task is to NOT use append or reverse.
(define (palindrome l)
(cond
((null? (cdr l)) (list (car l)))
((list (car l) (palindrome (cdr l)) (car l)))))
Thanks for help.
As in the comment of Sylwester, you can do your own version of append or reverse. Here is an example in which only the append function (called concatenate) is defined.
(define (palindrome l)
(define (concatenate l1 l2)
(if (null? l1)
l2
(cons (car l1) (concatenate (cdr l1) l2))))
(define (p l)
(cond ((null? l) '())
((null? (cdr l)) l)
(else (cons (car l) (concatenate (p (cdr l)) (list (car l)))))))
(p l))
(palindrome '(1 2 3 4))
'(1 2 3 4 3 2 1)
Here instead is a tail recursive version:
(define (palindrome l)
(define (concatenate l1 l2)
(if (null? l1)
l2
(cons (car l1) (concatenate (cdr l1) l2))))
(define (p l prefix suffix)
(cond ((null? l) (concatenate prefix suffix))
((null? (cdr l)) (concatenate prefix (cons (car l) suffix)))
(else (p (cdr l) (concatenate prefix (list (car l))) (cons (car l) suffix)))))
(p l '() '()))

contract violation scheme logic

I though calling a list and checking will it be even or odd would work this way.
It suppose to take a list [ 2 6 4 5] and check every element that is at a even position and print t or f. [2 #t 4 #f]. I know my try to do modulo on a list, that is probably causing the error. Is there way to check for the current list and check if it's even or odd.
modulo: contract violation
expected: integer?
given: '(2 3 4)
argument position: 1st
other arguments...:
(define (isEven E)
(if(= (modulo E 2) 0) #t #f))
(define (evenEE L)
(if (or (null? L) (null? (cdr L)))
L
(cons (car L)
(cons (isEven )
(evenEE (cddr L))
))))
Your code isn't applying the predicate correctly. In the definition of evenEE:
(define (evenEE L)
(if (or (null? L) (null? (cdr L)))
L
(cons (car L)
(cons (isEven )
(evenEE (cddr L))
))))
You need to replace (isEven ) with (isEven (cadr L)). That will call isEven with the second element in the list. Based on the error message you gave, I'm guessing you previously had it as (isEven (cdr L)). That would try to test whether the entire tail of the lest is even, which wouldn't make sense.
As an aside, the if form in isEven is redundant. You can replace
(define (isEven E)
(if(= (modulo E 2) 0) #t #f))
with
(define (isEven E)
(= (modulo E 2) 0))
So the whole program should look like this:
(define (isEven E)
(= (modulo E 2) 0))
(define (evenEE L)
(if (or (null? L) (null? (cdr L)))
L
(cons (car L)
(cons (isEven (cadr L))
(evenEE (cddr L))))))
Testing it out:
> (evenEE '(2 6 4 5))
'(2 #t 4 #f)

Sorting list of lists by their first element in scheme

I'm working on sorting a list of lists by their first element for example
(sort (list '(2 1 6 7) '(4 3 1 2 4 5) '(1 1))))
expected output => ('(1 1) '(2 1 6 7) '(4 3 1 2 4 5))
The algorithm I used is bubble sort. And I modified it to deal with lists. However, the code doesn't compile. The error is
mcar: contract violation
expected: mpair?
given: 4
Can someone correct my code and explain it. Thank you
(define (bubble L)
(if (null? (cdr L))
L
(if (< (car (car L)) (car (cadr L)))
(list (car L)
(bubble (car (cdr L))))
(list (cadr L)
(bubble (cons (car (car L)) (car (cddr L))))))))
(define (bubble-sort N L)
(cond ((= N 1) (bubble L))
(else
(bubble-sort (- N 1) (bubble L)))))
(define (bubble-set-up L)
(bubble-sort (length L) L))
(define t3 (list '(2 1 6 7) '(4 3 1 2 4 5) '(1 2 3) '(1 1)))
(bubble-set-up t3)
How about (sort (lambda (x y)(< (car x)(car y))) <YOUR_LIST>)?
I have fixed a few mistakes. There is at least one mistake left.
Consider the case where L only contains one element.
#lang r5rs
(define (bubble L)
(if (null? (cdr L))
L
(if (< (car (car L)) (car (cadr L)))
(cons (car L)
(bubble (cdr L)))
(cons (cadr L)
(bubble (cons (car L) (cddr L)))))))
(define (bubble-sort N L)
(cond ((= N 1) (bubble L))
(else
(bubble-sort (- N 1) (bubble L)))))
(define (bubble-set-up L)
(bubble-sort (length L) L))
(define t3 (list '(2 1 6 7) '(4 3 1 2 4 5) '(1 2 3) '(1 1)))
(display (bubble-set-up t3))
(newline)

how to call to this map function

I saw a code on a book about how to create a map function in Scheme, the code is the following:
(define map (lambda (f L)
(if null? L '()
(cons (f (car L)) (map f (cdr L))))))
(define square (lambda (x)
(* x x)))
(define square-list (lambda (L)
(map square L)))
Supposedly I can call it with:
(map square-list '(1 2 3 4))
but it is throwing me the following error:
SchemeError: too many operands in form: (null? L (quote ()) (cons (f (car L)) (map f (cdr L))))
Current Eval Stack:
-------------------------
0: (map square-list (quote (1 2 3 4)))
How should I call this function?
You have two errors. First, you forgot to surround the null? check with parentheses (and notice a better way to indent your code):
(define map
(lambda (f L)
(if (null? L)
'()
(cons (f (car L))
(map f (cdr L))))))
Second, you're expected to call the procedure like this:
(square-list '(1 2 3 4 5))
=> '(1 4 9 16 25)
You're missing parens around null? L, i.e. your condition should probably look like
(if (null? L) '()
(cons ...))

Same-parity in Scheme

I am trying to solve the exercise 2.20 from SICP book. The exercise -
Write a procedure same-parity that takes one or more integers and returns a list of
all the arguments that have the same even-odd parity as the first argument. For example,
(same-parity 1 2 3 4 5 6 7)
(1 3 5 7)
(same-parity 2 3 4 5 6 7)
(2 4 6)
My code -
(define same-parity (lambda (int . l)
(define iter-even (lambda (l2 rl)
(cons ((null? l2) rl)
((even? (car l2))
(iter-even (cdr l2) (append rl (car l2))))
(else (iter-even (cdr l2) rl)))))
(define iter-odd (lambda (l2 rl)
(cons ((null? l2) rl)
((odd? (car l2))
(iter-odd (cdr l2) (append rl (car l2))))
(else (iter-odd (cdr l2) rl)))))
(if (even? int) (iter-even l (list int))
(iter-odd l (list int)))))
For some reason I am getting an error saying "The object (), passed as the first argument to cdr, is not the correct type". I tried to solve this for more than two hours, but I cant find any reason why it fails like that. Thanks for hlep.
Try this:
(define same-parity
(lambda (int . l)
(define iter-even
(lambda (l2 rl)
(cond ((null? l2) rl)
((even? (car l2))
(iter-even (cdr l2) (append rl (list (car l2)))))
(else (iter-even (cdr l2) rl)))))
(define iter-odd
(lambda (l2 rl)
(cond ((null? l2) rl)
((odd? (car l2))
(iter-odd (cdr l2) (append rl (list (car l2)))))
(else (iter-odd (cdr l2) rl)))))
(if (even? int)
(iter-even l (list int))
(iter-odd l (list int)))))
Explanation:
You are using cons instead of cond for the different conditions
in the part where append is called, the second argument must be a proper list (meaning: null-terminated) - but it is a cons-pair in your code. This was causing the error, the solution is to simply put the second element inside a list before appending it.
I must say, using append to build an output list is frowned upon. You should try to write the recursion in such a way that cons is used for creating the new list, this is more efficient, too.
Some final words - as you're about to discover in the next section of SICP, this problem is a perfect fit for using filter - a more idiomatic solution would be:
(define (same-parity head . tail)
(if (even? head)
(filter even? (cons head tail))
(filter odd? (cons head tail))))
First, I check the first element in the list. If it is even, I call the procedure that forms a list out of only the even elements. Else, I call the procedure that forms a list out of odd elements.
Here's my code
(define (parity-helper-even B)(cond
((= 1 (length B)) (cond
((even? (car B)) B)
(else '())
))
(else (cond
((even? (car B)) (append (list (car B)) (parity-helper-even (cdr B))))
(else (parity-helper-even(cdr B)))
))))
(define (parity-helper-odd B)(cond
((= 1 (length B)) (cond
((odd? (car B)) B)
(else '())
))
(else (cond
((odd? (car B)) (append (list (car B)) (parity-helper-odd (cdr B))))
(else (parity-helper-odd (cdr B)))
))))
(define (same-parity first . L) (cond
((even? first) (parity-helper-even (append (list first) L)))
(else (parity-helper-odd (append (list first) L)))))
(same-parity 1 2 3 4 5 6 7)
;Output (1 3 5 7)
While you are traversing the list, you might as well just split it into even and odd parities. As the last step, choose the one you want.
(define (parities args)
(let looking ((args args) (even '()) (odd '()))
(if (null? args)
(values even odd)
(let ((head (car args)))
(if (even? head)
(looking (cdr args) (cons head even) odd)
(looking (cdr args) even (cons head odd)))))))
(define (same-parity head . rest)
(let-values ((even odd) (parities (cons head rest)))
(if (even? head)
even
odd)))
Except for homework assignments, if you are going to look for one then you are likely to need the other. Said another way, you'd find yourself using parities more frequently in practice.
You could simply filter elements by parity of first element:
(define (same-parity x . y)
(define (iter z filter-by)
(cond ((null? z) z)
((filter-by (car z))
(cons (car z) (iter (cdr z) filter-by)))
(else (iter (cdr z) filter-by))))
(iter (cons x y) (if (even? x) even? odd?)))
And try:
(same-parity 1 2 3 4 5 6 7)
(same-parity 2 3 4 5 6 7)

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