Write a program in Python that converts Euclid’s algorithm to find the greatest common divisor (GCD) of two positive integers to a recursive function named gcd.

Write a recursive implementation of Euclid's Algorith for finding the greatest common divisor(GCD) of two intergers. Descriptions of this algorithm are available in algebra books and on theweb. (Note: A nonrecursive version of the GCD problem was given in the programming exercisesfor Chapter 7.) Write a test program that calls your GCD procedure five times, using thefollowing pairs of integers: (5,20),(24,18),(11,7),(432,226),(26,13). After each procedure call,display the GCD.

Using recursion, write a Python function def before(k,A) which takes an integer k and an array A of integers as inputs and returns a new array consisting of all the integers in A which come before the last  occurrence of k in A, in the same order they are in A. For example, if A is [1,2,3,6,7,2,3,4] then before(3,A) will return [1,2,3,6,7,2]. If k does not occur in A, the function should return None.

Write a C++ program using classes and recursion functions to covert a number in a given base (the user enters the base - from 2 to 9) to a decimal number. The algorithm states that each successive digit in the number is multiplied by the base raised to the power corresponding to its position in the number. The low-order digit is in position 0. We sum together all of these products to get the decimal value. For example, in binary- base 2, if we have the binary number 111001, we convert it to decimal as follows: 1x25 + 1x2* + 1x2³ + 0x2²+ 0x2² + 1x2º = 57 For a base 5 number, 14230: 1x5 + 4x53 + 2x52 + 3x5+ Ox5° = 1190 Validate your input. You should check for invalid digits and provide an informative error message to the user. This program requires you to use a recursive function for the conversion to decimal. Failure to do that will result in no points awarded.

Consider a recursive function, called f, that computes powers of 3 using only the + operator. Assume n > = 0. int f(int n) { if (n == 0) return 1; return f(n-1) + f(n-1) + f(n-1); } Give an optimized version of f, called g, where we save the result of the recursive call to a temporary variable t, then return t+t+t. i got int g(int n) { if (n == 0) return 1; int t = g(n - 1); return t+t+t; } so now Write a recurrence relation for T(n), the number addition operations performed by g(n) in terms of n.

Python

Use C language to write a program

IN PYTHON, Using recursion: ask the user for the length of a square and the character they want to use. Draw the square (similar to mini assignment #15 in functions part 3). Once the user creates the square with their specification, ask them if they want it to be smaller or larger and how many times. Draw all the squares growing in size to the specified range.

computer fundamental-hack assembly language

In c++, Thanks!!! Write the simplest program that will demonstrate iteration vs recursion using the following guidelines -  Write two primary helper functions - one iterative (IsArrayPrimeIter) and one recursive (IsArrayPrimeRecur) - each of which Take an array and its size as input params and return a bool such that 'true' ==> array and all elements are prime, 'false' ==> at least one element in array is not prime, so array is not prime.  Print out a message "Entering <function_name>" as the first statement of each function. Perform the code to test whether every element of the array is a Prime number. Print out a message "Leaving <function_name>" as the last statement before returning from the function. Remember - there will be nested loops for the iterative function and there can be no loops at all in the recursive function. You will need to define one other helper function (IsPrimeRecur) for the recursion which should also not contain any loops to make it a…