QUESTION 11 Fill in the code to complete the following method for computing factorial. (Choose all that apply /** Return the factorial for a specified index */ public static long factorial(int n) { if (n == 0) // Base case return 1; else return L; // Recursive call } DA. n* (n - 1 ) B. n * factorial(n - 1) OC. n OD. factorial(n - 1) * n
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- T/F 6. Consider the following recursive sum method:public int sum(int x){if (x == 0) return 0;else return sum(x - 1) + 1;}Consider the following function: void fun_with_recursion(int x) { printf("%i\n", x); fun_with_recursion(x + 1); } What will happen when this function is called by passing it the value 0?Recursion Practice Welcome back! In this lab, we will be reviewing recursion by practicing with some basic recursion problems. Objectives Increase familiarity with recursive logic by working through several recursive problems. Taking into consideration a few corner cases through analyzing the test cases. Using a regex expression that will remove punctuation. Getting Started This lab includes the following .java file: L4/└── Recursion.java└── Main.java**Main.java is a read-only file used for testing. It is not included in the starter jar.Here is the starter jar if you would like to code in a different environment: L4.jar. Please complete ALL functions. Make sure to read the description for each function carefully. Do not include any for or while loops in your methods. These can all be completed in a purely recursive style, so do it recursively! In the spirit of incremental development, implement each method one at a time, look at the test cases and take into consideration what is…
- Write a recursive function named “oddRec” that takes the address of the array and the number of elements as a parameter and returns the number of odd numbers in the array. (Do not use global variable)getSumEven Method; (Java) *Do not change method parameters* public static int getSumEven(int[] array) Returns the sum of even values (if any) present in the array parameter. You can assume array is not null. You may only use one auxiliary function. Your implementation must be recursive and you may not use any loop construct. Do not use ++ or -- in any recursive call argument. It may lead to an infinite recursion. For example, use index + 1, instead of index++. Parameters: array - Returns: Sum of even valuesHow can I apply this python code? 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],…
- Part (1) Write a recursion method named CalculateSeries, that will receive one integer valuen as parameter. The method will calculate and return the term n in the following series: T(0)= 0 T(n)= 2 T(n-1) +1 Part (2) Write the main method to test your method. Enter n >> 5 T(5) = 31 %3DPython question Analysis: Computational Complexity (Q14-15) In this section, you are asked to analyse the worst-case computational time complexity of Python functions. Always identify the order of growth in the tightest and simplest possible form using big-O notation, e.g., write O(n) instead of O(2n+n/2). Question 14 (Complexity 1) State the overall worst-case time complexity of the below function and provide a short explanation of your answer. The function accepts an integer n as input. def mystery(n): num = 1 count = 0 while num < n: num = num*2 count += 1 return count Question 15 (Complexity 2) State the overall worst-case time complexity of the below function and provide a short explanation of your answer. The function is supposed to return a list, res, containing the duplicated elements in the given list , lst, of size n. Analyse the function in terms of the length of the list, n. def duplicate_values(lst): res = [] for i in range(len(lst)):…Python Test: import recursive_functionsimport mathdef main():# Test factorialprint('Testing factorial.')assert recursive_functions.factorial(0) == 1assert recursive_functions.factorial(1) == math.factorial(1) == 1assert recursive_functions.factorial(2) == math.factorial(2) == 2assert recursive_functions.factorial(5) == math.factorial(5) == 120assert recursive_functions.factorial(7) == math.factorial(7) == 5040print('All tests pass for `factorial` ()\n')# Test sum_recursivelyprint('Testing sum_recursively.')assert recursive_functions.sum_recursively(0) == 0assert recursive_functions.sum_recursively(1) == sum(range(1+1)) == 1assert recursive_functions.sum_recursively(2) == sum(range(2+1)) == 3assert recursive_functions.sum_recursively(10) == sum(range(10+1)) == 55print('All tests pass for `sum_recursively` () ')# Test sumlist_recursively(l)print('Testing sumlist_recursively.')assert recursive_functions.sumlist_recursively([1,2,3]) == sum([1,2,3])assert…
- 4. CodeW. X b For fun X Solved x b Answer x+ Ohttps://codeworko... CodeWorkout X264: Recursion Programming Exercise: Multiply For function multiply,write the missing base case condition and action. This function will multiply two numbers x and y.You can assume that both x and y are positive. Examples: multiply(2, 3) -> 6 Your Answer: 1 public int multiply(int x, int y) { 2. if > { > } else { return multiply(x 1, y) + y; 3. 5. { 7. 1:08 AM 50°F Clear 日JAVA Question 2: For two integers m and n, their GCD (Greatest Common Divisor) can be computed by a recursive method. Write a recursive method gcd(m,n) to find their Greatest Common Divisor. Method body: If m is 0, the method returns n. If n is 0, the method returns m. If neither is 0, the method can recursively calculate the Greatest Common Divisor with two smaller parameters: One is n, the second one is m mod n (or m % n). The recursive method cannot have loops. Note: although there are other approaches to calculate Greatest Common Divisor, please follow the instructions in this question, otherwise you will not get the credit. main method: Prompt and read in two numbers to find the greatest common divisor. Call the gcd method with the two numbers as its argument. Print the result to the monitor. Example program run: Enter m: 12 Enter n: 28 GCD(12,28) = 4 And here is what I have so far, package CSCI1302;import java.util.*;public class RecursionDemo { public static void…PLZ help with the following: In Java Write a program using recursion to display all valid (i.e. properly open and closed) combinations of n-pairs of parentheses.