rt algorithm Use ( 20 13 74 5 12 9 22 95 22 6 101 72 3 53 33 21 96) as input. To do that, calculate the average value of a sublist before dividing it. (quicksort ‘( 20 13 74 5 12 9 2
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Written in Dr Racket:
Write a recursive function that takes a list of numbers as input and returns a list of the numbers in ascending order.
Use the quicksort algorithm
Use ( 20 13 74 5 12 9 22 95 22 6 101 72 3 53 33 21 96) as input.
To do that, calculate the average value of a sublist before dividing it.
(quicksort ‘( 20 13 74 5 12 9 22 95 22 6 101 72 3 53 33 21 96))
returns ‘(3 5 6 9 12 13 20 21 22 22 33 53 72 74 95 96 101)
Do not use sort, quicksort, set!, or mean.
Step by step
Solved in 4 steps with 2 images
- The implementation of a queue in an array, as given in this chapter, uses the variable count to determine whether the queue is empty or full. You can also use the variable count to return the number of elements in the queue. On the other hand, class linkedQueueType does not use such a variable to keep track of the number of elements in the queue. Redefine the class linkedQueueType by adding the variable count to keep track of the number of elements in the queue. Modify the definitions of the functions addQueue and deleteQueue as necessary. Add the function queueCount to return the number of elements in the queue. Also, write a program to test various operations of the class you defined.Write a function in a racket code that takes as input a list of elements and returns a list with elements and their position after. For example, if the input to the function is (list ’a ’b ’c) then it will return (list a 1 b 2 c 3). Make sure to use recursionpython code Write a recursive function such that, given a list of intergers (say v) and an integer value (say x), the function returns resulting subset if there is a subset of intergers in v that sum up to x. Otherwise the function returns an empty list; Also write a sample code that runs this function using an example list and value x, and state the expected result
- The Binary Search algorithm works by testing a mid-point, then eliminating half of the list. In this exercise, you are going to take our binary search algorithm and add print statements so that you can track how the search executes. Inside of the recursive binary search function, add print statements to print out the starting, ending, and midpoint values each time. Then as you test a value, print out the results, either too high, too low, or a match. Sample Output Starting value: 0 Ending value: 9 Testing midpoint value: 4 Too high! Starting value: 0 Ending value: 3 Testing midpoint value: 1 Too low! Starting value: 2 Ending value: 3 Testing midpoint value: 2 Match!Write a recursive function in Python which should take a nested/embedded list and return us the number of string elements present in it (also counting the strings present in inner lists). Sample calls are shown below; >>> countstr([10,'abc',20,'hello']) 2 >>> countstr([10,'abc',2,'20']) 2 >>> countstr([10,'abc',20,['20','fahad',100], None, 10.5]) 3Using recursion, write a Python function def before(k,A) which takes an integer k and an array A of integers as inputs and returns a new array consisting of all the integers in A which come before the last occurrence of k in A, in the same order they are in A. For example, if A is [1,2,3,6,7,2,3,4] then before(3,A) will return [1,2,3,6,7,2]. If k does not occur in A, the function should return None.
- Write a recursive Racket function "update-if" that takes two functions, f and g, and a list xs as parameters and evaluates to a list. f will be a function that takes one parameter and evaluates true or false. g will be a function that takes one parameter and evaluates to some output. The result of update-if should be a list of items such that if x is in xs and (f x) is true, then (g x) is in the list. The output list's elements should keep the input list's items in the same relative order. For example (update-if even? add1 '(1 2 3 4)) should evaluate to '(3 5) because 2 and 4 make even? true and add1 turns 2 and 4 into 3 and 5.In C language, implement two recursive versions of the linear search that gets an array of songs and a title and searches for a song with the given title in the array. 1. In this version the function returns the first index of the array containing the number. If the number is not in the array, the function returns -1. int linear_search_rec_first(int* ar, int length, int number); 2. In this version the function returns the last index of the array containing the number. If the number is not in the array, the function returns -1. int linear_search_rec_last(int* ar, int length, int number); Example of test for case 1: void test_q3() { int ar1[]={1,2,3,4,5,4,3,2,1}; if (linear_search_rec_first(ar1,9,2)==1) printf("Q3-1 ok\n"); else printf("Q3-1 ERROR\n"); } Example of test for case 2: void test_q3() { int ar1[]={1,2,3,4,5,4,3,2,1}; if (linear_search_rec_last(ar1,9,2) == 7) printf("Q3-3 ok\n"); else printf("Q3-3 ERROR\n"); }Write a program that lists all ways people can line up for a photo (all permutations of a list of strings). The program will read a list of one word names (until -1), and use a recursive method to create and output all possible orderings of those names, one ordering per line. When the input is: Julia Lucas Mia -1 then the output is (must match the below ordering): Julia Lucas Mia Julia Mia Lucas Lucas Julia Mia Lucas Mia Julia Mia Julia Lucas Mia Lucas Julia partial code below, only lines 9-11, and 18 can be added onto, the rest must stay the same. #include <vector>#include <string>#include <iostream> using namespace std; // TODO: Write method to create and output all permutations of the list of names.void AllPermutations(const vector<string> &permList, const vector<string> &nameList) { } int main(int argc, char* argv[]) { vector<string> nameList; vector<string> permList; string name; // TODO: Read in a list of names; stop…
- In Kotlin, Write a recursive function with an expression body that takes an Int n and returns a list of the areas of circles for each radius from n to 1 (in decreasing order.) Get the areas by calling the area function. Then rewrite the recursive function so that the areas appear in increasing order. You do not need to use tail recursion in this caseimplement two recursive versions of the linear search that gets an array of songs and a title and searches for a song with the given title in the array. In this version, the function returns the first index of the array containing the number. If the number is not in the array, the function returns -1. int linear_search_rec_first(int* ar, int length, int number);Write a program that lists all ways people can line up for a photo (all permutations of a list of strings). The program will read a list of one word names (until -1), and use a recursive method to create and output all possible orderings of those names separated by a comma, one ordering per line. When the input is: Julia Lucas Mia -1 then the output is (must match the below ordering): Julia, Lucas, Mia Julia, Mia, Lucas Lucas, Julia, Mia Lucas, Mia, Julia Mia, Julia, Lucas Mia, Lucas, Julia