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- emacs/lisp function Write a function that takes one parameter that is a list of numbers and returns true (t) if all the elements of the list are multiples of the first one and nil otherwise. This said, a list generated by the function make-multiples could be passed to this new function and the result should be true. On the other hand, show an example of a list that could not have been generated by the first function for which the result is still true.2. A positive integer is perfect if it equals the sum of all of its factors, excluding the number itself. Using a list comprehension, define a function perfects :: Int -> [Int] that returns the list of all perfect numbers up to a given limit. For example: > perfects 500 [6,28,496] Many variations of this exercise are possible: o A number which is less than the sum of its proper divisors is called abundant. o A number which is greater than the sum of its proper divisions is called deficient. o A number for which the sum of all its divisors (including itself) is greater than the sum of the divisors of any smaller number is called highly abundant. For each of these variations, write a function which finds all the numbers with the stated property below a given number.Define a recursive function named trim; it takes as its arguments a linked list (the head node of it) and a non-negative integer representing the index of an element in the list. The function mutates the linked list such that all elements that occur after the index is removed. Additionally, the function returns a linked list of all the elements that were moved. If the index value exceeds the length of the linked list, it should raise an IndexError. For example, if we defined a list as l1 = LN(1, LN(2, LN 3))) , calling the function would return the linked list LN(2, LN(3)), and the mutated l1 would become LN(1). You must use recursion. def trim(l: LN, index: int) -> LN:
- Let xHead, yHead and zHead be the head pointers of 3 linked lists of integers (called X-list, Y-list and Z-list, respectively, from here). X-list and Y-list are each sorted (in non-decreasing order) in itself and each may be empty. Z-list is initially empty (i.e., zHead initially contains the null pointer). Develop and test a recursive C++ function called Merge2AscListsRecur that combines the nodes in X-list and Y-list into Z-list such that, after calling the function, Z-list is a sorted list (in non-decreasing order) containing all the nodes initially contained in X-list and Y-list – X-list and Y-list should both be empty after the call. Other specifications/requirements: ● Each node of the list has the following structure: struct Node{ int data; Node *link;}; ● The function should: ► Have only three parameters (each a pointer-to-Node) and no return value (be a void function). ► Not use any global variables or static local…Let xHead, yHead and zHead be the head pointers of 3 linked lists of integers (called X-list, Y-list and Z-list, respectively, from here). X-list and Y-list are each sorted (in non-decreasing order) in itself and each may be empty. Z-list is initially empty (i.e., zHead initially contains the null pointer). Develop and test a recursive C++ function called SortedMergeRecur that combines the nodes in X-list and Y-list into Z-list such that, after calling the function, Z-list is a sorted list (in non-decreasing order) containing all the nodes initially contained in X-list and Y-list – X-list and Y-list should both be empty after the call. Other specifications/requirements: ● Each node of the list has the following structure: struct Node{ int data; Node *link;}; ● The function should: ► Have only three parameters (each a pointer-to-Node) and no return value (be a void function). ► Not use any global variables or static local…Use a list comprehension to define a Haskell function Vex that takes a list of Ord items and removes all occurrences of the largest item in the list. Given the empty list, Vex should return the empty list. Make good use of let and/or where.
- Language: C++ Solve the following problem using a Singly Linked List.Given a singly linked list of characters, write a function to make a word out of given letters in the list Example:Input:C->S->A->R->B->B->E->LNULLOutput:S->C->R->A->B->B->L->E->NULLOCAML programming language Cartesian map Use the built-in higher order functions and write a non-recursive functionval cart_fun : ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list = <fun> which takes a function, and two lists as an input, and returns a third list whichcontains the result of the function applied on all possible pairs of elements from both input lists. # cart_fun ( * ) [1;2;2;6;3;9;1] [2;3];;- : int list = [2; 3; 4; 6; 4; 6; 12; 18; 6; 9; 18; 27; 2; 3]1. Recursion & List processing Write a recursive function flatten that takes a list as an argument and returns the flat version of that list. For example, (flatten '(a (b c) d)) -> (a b c d) (flatten '(((a)) (b (c)) d)-> (a b c d)
- (a) Write a function top_students(marks) that takes as a parameter a non-empty list of (name, mark) tuples, where name is the name of a student (a string) and mark is the student's mark for some course (an int). The function returns a list of the names of all students whose mark equals that of the top student. If there is just a single student with the maximum mark, the return value will be a list of length 1, as in the first example in the table below. The names in the return list should be in the same order as in the input parameter list. Test Result marks = [('Beatrice', 50), ('Nerly', 90), ('Uniza', 70)] print(top_students(marks)) ['Nerly'] marks = [('Beatrice', 80), ('Nerly', 75), ('Uniza', 66), ('Joshua', 80)] print(top_students(marks)) ['Beatrice', 'Joshua'] (b) Write a function char_counts(string) that takes a string as a parameter and returns a dictionary in…Write a Haskell function descending that receives a list and returns whether its values are in descending order. For example, given [], [42, 9, 9, 7] and "ymca" the function returns True; given [11, 5, 3, 4], "utopia" and "yummy" it returns False. ghci> descending "utopia" FalseI need help writing an emacs/lisp function Write a function that takes one parameter that is a list of numbers and returns true (t) if all the elements of the list are multiples of the first one and nil otherwise. This said, a list generated by the function make-multiples could be passed to this new function and the result should be true. On the other hand, show an example of a list that could not have been generated by the first function for which the result is still true.