How to solve the problem by FOLLOWING this python code format?def createList(n): #Base Case/s #TODO: Add conditions here for your base case/s #if <condition> : #return <value> #Recursive Case/s #TODO: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once you've completed all the TODO for this function return []def removeMultiples(x, arr): #Base Case/s #TODO: Add conditions here for your base case/s #if <condition> : #return <value> #Recursive Case/s #TODO: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once you've completed all the TODO for this function return [] def Sieve_of_Eratosthenes(list): #Base Case/s if len(list) < 1 : return list #Recursive Case/s else: return [list[0]] + Sieve_of_Eratosthenes(removeMultiples(list[0], list[1:]))if __name__ == "__main__": n = int(input("Enter n: ")) print(n) list = createList(n) #Solution 1 primes = Sieve_of_Eratosthenes(list) print(primes) You are to do a recursive implementation of the Sieve of Eratosthenes, an ancient algorithmfor finding all prime numbers up to a given limit, n, which we will let the user input.We will be modifying this algorithm a bit. Instead of just marking the multiples of primenumbers, we will directly remove them by creating our own helperfunction, removeMultiples). This recursive function takes in a number, n, and a list andreturns a list that doesn't contain the multiples of n.We will also create a recursive function, greateList), that takes in the user input n and returns anarray of integers from 2 through n (i.e. [2, 3, 4, ..., n]). You can use this list when testingthe removeMultiples() helper function above.Our last recursive function is the SieveOfEratosthenes). This takes in a list and returns a list ofprime numbers from the input list. This function is already fully working in the given template tomake you focus more on implementing the first two. This is intended to serve as a guide on how tocreate or manipulate arrays in a recursive manner.

The code is already given above. Problem: Using PYTHON, create and implement a recursive function…

Answered: How to solve the problem by FOLLOWING…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

How to solve the problem by FOLLOWING this python code format?

def createList(n):
#Base Case/s
#TODO: Add conditions here for your base case/s
#if <condition> :
#return <value>

#Recursive Case/s
#TODO: Add conditions here for your recursive case/s
#else:
#return <operation and recursive call>

#remove the line after this once you've completed all the TODO for this function
return []

def removeMultiples(x, arr):
#Base Case/s
#TODO: Add conditions here for your base case/s
#if <condition> :
#return <value>

#Recursive Case/s
#TODO: Add conditions here for your recursive case/s
#else:
#return <operation and recursive call>

#remove the line after this once you've completed all the TODO for this function
return []

def Sieve_of_Eratosthenes(list):
#Base Case/s
if len(list) < 1 :
return list
#Recursive Case/s
else:
return [list[0]] + Sieve_of_Eratosthenes(removeMultiples(list[0], list[1:]))

if __name__ == "__main__":
n = int(input("Enter n: "))
print(n)
list = createList(n)
#Solution 1
primes = Sieve_of_Eratosthenes(list)
print(primes)

You are to do a recursive implementation of the Sieve of Eratosthenes, an ancient algorithm
for finding all prime numbers up to a given limit, n, which we will let the user input.
We will be modifying this algorithm a bit. Instead of just marking the multiples of prime
numbers, we will directly remove them by creating our own helper
function, removeMultiples). This recursive function takes in a number, n, and a list and
returns a list that doesn't contain the multiples of n.
We will also create a recursive function, greateList), that takes in the user input n and returns an
array of integers from 2 through n (i.e. [2, 3, 4, ..., n]). You can use this list when testing
the removeMultiples() helper function above.
Our last recursive function is the SieveOfEratosthenes). This takes in a list and returns a list of
prime numbers from the input list. This function is already fully working in the given template to
make you focus more on implementing the first two. This is intended to serve as a guide on how to
create or manipulate arrays in a recursive manner.

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