Recursive Exercises ALL PROGRAMS LISTED BELOW MUST USE RECURSION 1. Write a program that asks the user for a number then adds up ALL of the numbers from 1 to n, after squaring them. Ex/ if the user inputs 5 the answer should be 55
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- (Computation) A magic square is a square of numbers with N rows and N columns, in which each integer value from 1 to (N * N) appears exactly once, and the sum of each column, each row, and each diagonal is the same value. For example, Figure 7.21 shows a magic square in which N=3, and the sum of the rows, columns, and diagonals is 15. Write a program that constructs and displays a magic square for a given odd number N. This is the algorithm:Using recursion, create a program that will allow a user to enter five numbers. The program will provide the sum of all five numbers using recursive methods.Python Using recursion No loops Print asterisks If k > n, n is negative or zero, or indent is negative, the function does not print anything. It may use string multiplication and formatted strings such s * num for some string s and some integer num def printStars(k, n, indent):
- RECURSION 1 Good day please help me with this practice exercise for our upcoming exam on last week of january.. I promise to give helpful rating after. Note: Please give the output of the program in the picture Please write your answer on a PAPER the tracing of the program in the picture. The answer should explain step by step on how I will get the output. Please refer to the second photo a sample tracing on how you would trace the first picture.. AGAIN 2ND PHOTO IS ONLY A SAMPLE ON HOW TO TRACE THE PROGRAM.Python question Question 19 (Algorithmic problem) Write a RECURSIVE function that, given a text (as a string), returns the same text with vowels replaced with a hyphen (-). See the examples given below (doctests) Note: No marks will be awarded for non-recursive implementations. def remove_vowels(text): """ Input: a string of text Output: the same text with vowels removed Examples: >>> remove_vowels('this text') 'th-s t-xt' >>> remove_vowels('Python') 'Pyth-n' >>> remove_vowels('') '' >>> remove_vowels('Apple') '-ppl-' >>> remove_vowels('myths') 'myths' """Question-3 There are n number of students in a class.Assume a teacher enters and wants to shake hand according to an algorithm: Algorithm (X) à 2n a) Write a recursive function to solve this problem for any number of students also calculate the time complexity of your code, along with an idea what might be the best technique to solve this problem other than recursion. b) Consider this Algorithm-Z , Taking list of integer as input List Of Integer: X(Integer: number) List Of Integer: Y Integer: i = 2 While (i< number) While (number Mod i == 0) Y.Add(i) number = number / i End While i = i + 1 End While If (number > 1) Then Y.Add(number) Return Y End X (i) Explain what Algorithm Z is doing? (ii) Analyze the complexity of Algo-Z and then write an algorithm Better-Algo-X that does exactly the same thing but with a strictly better time complexity
- Question-3 There are n number of students in a class. Assume a teacher enters and wants to shake hand according to an algorithm: Algorithm (X) à 2n a) Write a recursive function to solve this problem for any number of students also calculate the time complexity of your code, along with an idea what might be the best technique to solve this problem other than recursion. b) Consider this Algorithm-Z , Taking list of integer as input List Of Integer: X(Integer: number) List Of Integer: Y Integer: i = 2 While (i < number) While (number Mod i == 0) Y.Add(i) number = number / i End While i = i + 1 End While If (number > 1) Then Y.Add(number) Return Y End X (i) Explain what Algorithm Z is doing? (ii) Analyze the complexity of Algo-Z and then write an algorithm Better-Algo-X that does exactly the same thing but with a strictly better time complexityIf your first name starts with a letter from A-J inclusively: Write a recursive method that takes a string as argument and determines if the string has more vowels than consonants. Test the method by asking the user to enter a string. Hint: Write your recursive method to first count vowels and consonants.1.)I have to recursive with python language and was asked to do a buy 2 get 1 free where you have some amount of money(x) each item costs a given amount(y), for each 2 item you get 1 free, builda recursive solution to find out how many items you can buy for x amount of money. 2.) Buy M, get N free Then alter your first answer to allow for the user to enter any M and N for how many you need to buy to get free items
- Simple MIPs Recursive Procedure Write a program that calls a recursive procedure. Inside this procedure, add 1 to a counter so you can verify the number of times it executes. Put a number in a MIPS counter that specifies the number of times you want to allow the recursion to continue. You can use a LOOPinstruction (or other conditional statements using MIPS), find a way for therecursive procedure to call itself a fixed number of times.Instructions : Complete the tasks listed below. PLEASE USE THE SCREENSHOT AS A GUIDENACE ask Lists Complete the body for the recursive method fac(n) which computes n! (n factorial) for n >= 0. Note: n! = n(n - 1) (n - 2) (n - 2)… (2) (1), where n > 0 and zero factorial, 0! = 1. Complete the body for the recursive method sum(n) to compute the sum of the first n positive integers. Complete the body for the recursive method pow(x,n) for computing xn, for a positive integer n, and real number x. Complete the body for the recursive method isPalindrome(str) to determine if a string of text is a palindrome. This method accepts a String and returns true if the string reads the same forwards as backwards. The string is trivially true for empty or one(1) letter strings. Hint: You should make use of the subtring and charAt methods of the String. Run the Viewer of the Sierpinski Triangles and give a description of what you observed as it relates to recursion. Write a short summary…Question-3 There are n number of students in a class. Assume a teacher enters and wants to shake hand according to an algorithm: Algorithm (X) à 2n a) Write a recursive function to solve this problem for any number of students also calculate the time complexity of your code, along with an idea what might be the best technique to solve this problem other than recursion.