Question 1[2 marks] For this question, we are looking at an algorithm used to implement the divisibility rule for 3 which states that: A number is divisible by 3 if the sum of all its digits is divisible by 3.…

Imagine a staircase with n steps. As you are climbing up this staircase, you either climb one or two steps at a time. The aim of this computing puzzle is to find out, using an algorithm, in how many distinct…

For this challenge we will investigate a range of algorithms used to apply some of the most common divisibility rules. We will first focus on the divisibility rule of 3 to introduce the concept of recursion. A divisibility rule is…

For this challenge we will investigate two algorithms used to find out if a word is a palindrome or not. The first algorithm will use an iterative approach, the second algorithm will use a recursive approach. Iterative Approach An iterative…

Six Degrees of Separation The Six degrees of separation is an idea that was originally set out by Frigyes Karinthy in 1929 and that can be applied to Social Networks such as Facebook. It is based on the idea that…

The purpose of this Python challenge is to demonstrate the use of a backtracking algorithm to find the exit path of Maze. Backtracking Algorithm A backtracking algorithm is a recursive algorithm that attempts to solve a given problem by testing…

The purpose of this Python challenge is to demonstrate the use of a backtracking algorithm to solve a Sudoku puzzle. Did You Know? The objective of a Sudoku puzzle is to fill a 9×9 grid with digits so that each…

The purpose of this Python challenge is to demonstrate the use of a backtracking algorithm to solve a Magic Square puzzle. Did You Know? A 3×3 magic square is an arrangement of the numbers from 1 to 9 in a…

The number e is a famous irrational number called Euler’s number after Leonhard Euler a Swiss Mathematician (1707 – 1783). Number e is considered to be one of the most important numbers in mathematics. The first few digits are: 2.7182818284590452353602874713527……

In Mathematics, the factorial of n is denoted by n! and calculated by the product of integer numbers from 1 to n. For instance: In this challenge you will write a Python program that asks the user to enter a…