(convernt into C++) Convert the following recursive function to tail recursive: int sequence2(int n) { if (n < 4) else return n/2; return 3* sequence2(n-1);
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- (Recursive Greatest Common Divisor) The greatest common divisor of integers x and y isthe largest integer that evenly divides both x and y. Write a recursive function gcd that returns thegreatest common divisor of x and y. The gcd of x and y is defined recursively as follows: If y is equalto 0, then gcd(x, y) is x; otherwise gcd(x, y) is gcd(y, x % y), where % is the remainder operator.(GREATEST COMMON DIVISOR) The greatest common divisor of integers x and y is the largest integer that evenly divides into both x and y. Write and test a recursive function gcd that returns the greatest common divisor of x and y. The gcd of x and y is defined recursively as follows: If y is equal to 0, then gcd (x, y) is x; otherwise, gcd (x, y) is gcd (y, x % y), where % is the remainder operator.(Recursive Exponentiation) Write a recursive function power(base, exponent) that wheninvoked returnsbaseexponentFor example, power(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is an integer greater than or equalto 1. Hint: The recursion step would use the relationshipbaseexponent = base * baseexponent–1and the terminating condition occurs when exponent is equal to 1 becausebase1 = base
- (Please provide photos so the code is easier to understand) Write a small C++ program that defines a recursive function GCD based on the model of the Lisp function (defun gcd (n m)"Returns the gcd of two numbers" (let ((dividend n) (divisor m) (remainder 1)) (while (/= remainder 0) (setq remainder (mod dividend divisor)) (setq dividend divisor) (setq divisor remainder)) dividend)) In the main function, write a loop (while or do) that repeats the following actions: ask the user to enter two numbers, compute their GCD and output it, until the user enters 0 for one of the numbers.Fibonacci write 4 function (Recursion version, Memoization version) (Iterative version, Tabulation version) and main function to test the 4 functions ,, by c++.For glass box testing of a recursive function, you should test cases where: a) the function returns without a recursive call, ie using a base case b) the function makes exactly one recursive call c) the function makes more than one recursive call d) all of these
- (Will report abuse if you just copy the previous answer) Write a tail recursive procedure in Scheme for the bang-bang operator: n!! Here 1!! is 1, 2!! = 2, and if n>2, n!!=(n−2)!!×n. Put this in the file bang-bang.scm.(Recursion and Backtracking) Write the pseudo code for a recursive method called addB2D that takes two binary numbers as strings, adds the numbers and returns the result as a decimal integer. For example, addB2D(‘‘101’’, ‘‘11’’) should return 8 (because the strings are binary representation of 5 and 3, respectively). Your solution should not just simply convert the binary numbers to decimal numbers and add the re- sults. An acceptable solution tries to find the sum by just directly processing the binary representations without at first converting them to decimal values.(OCaml) Define a recursive function pos: int list -> bool that returns true if allelements of the list are greater than zero, false otherwise. [Hint: and operation isdefined as & in OCaml]# pos [1; 2; -1];;b) : false# pos [1; 2];;c) : true
- (Recursive Sequential Search Algorithm) Write and implement a recursive version of the sequential search algorithm.(Towers of Hanoi: Iterative Solution) Any program that can be implemented recursivelycan be implemented iteratively, although sometimes with considerably more difficulty and considerably less clarity. Try writing an iterative version of the Towers of Hanoi. If you succeed, compareyour iterative version with the recursive version you developed in Exercise 5.36. Investigate issuesof performance, clarity, and your ability to demonstrate the correctness of the programs.2) Consider a recursive function to find the maximum value in an array of integers. The function declaration is: int maxValue( int vals[], int size, int start ); For this function, we need to know the size of the array and the starting index of the array (because both will change when a recursive call is made). You may assume that there is at least one value in the array. C++ language