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- •rewrite calculateSum function as a recursive function. m(i) = m(i-1) + i/(i+1), where i >=1Exercise 1: The number of combinations CR represents the number of subsets of cardi- nal p of a set of cardinal n. It is defined by C = 1 if p = 0 or if p = n, and by C = C+ C in the general case. An interesting property to nxC calculate the combinations is: C : Write the recursive function to solve this problem.1. Below, enter code to complete implementation of a recursive function sum allintegers(), which takes an input n and adds all integers preceding it, up to n: add all integers(n):
- For any part that requires recursion, if you do not create a recursive function, that will result in a on that part.Consider the following recursive function: if b = 0, if 6 > a > 0, a f(b, a) f (b, 2.(a mod b)) otherwise. f(a, b) = Estimate the number of recursive applications required to compute f(a, b).3. Write a recursive function that ассepts 8x8 array of an characters that represents a maze. Each position can contain either an X or a blank. Starting at position (0,1), list any path through the maze to get to the location (7,7). Only horizontal and vertical moves are allowed. If no path exists, write a message indicating there is no path. Moves can be made only to the locations that contain a blank. If an X is encountered, that path is blocked and another must be chosen. [6]
- Below,enter code to complete implementation of a recursive function sum_all_integers(), which takes an input n and adds all intergers preceding it, up to n: add_all_integers(n):Create a recursive function that simulates the range function. For example: Enter the range (begin, end, increment) separated by spaces: 3 15 3 [3,6,9,12]Write a recursive function that accepts a number and returns its factorial. b. Write a recursive function that accepts an array, its size and the index of the initial element as arguments. The function fills the array with the elements of the following sequence: n1 = 3, nk+1 = nk+35 c. Write an iterative and a recursive versions of the binary search. In C++ coding
- Recursive Palindrome! Recall that a palindrome is a string that reads the same forward and backward. Write a recursive function is_palindrome (s:str) -> bool to check whether a string s is a palindrome. Here's a hint: think about how you can use is_palindrome(t), where t is a substring of s, to help you decide whether s is a palindrome. Your Answer: 1 # Put your answer here 2 SubmitWrite a function that takes in an integer n and computes n!. Do this without recursion. In [ ]: deffactorial_iter(n):"""Takes in an integer n>0 and returns the product of all integers from 1 to n."""# YOUR CODE HEREraiseNotImplementedError() In [ ]: In [ ]: assert factorial_iter(6) == 720 assert factorial_iter(7) == 5040 assert factorial_iter(10) == 3628800Create a recursive function that multiplies two positive integers without the need of the * (or /) operator. You can utilise addition, subtraction, and bit shifting, but you should keep the amount of operations to a minimum.