Enigma - The electro-mechanical cipher machine was developed to protect communication in the mid-20th century Following the principles of the Enigma, a modified Enigma machine is developed having rotor Count rotors labeled from 1 to rotorCount. Each rotor has a value that can be set between min Rotor Value and maxRotorValue, inclusive. To make the machine work, the values set in the 2 through rotor County rotors should have a greatest common divisor with rotor 1 of 1. In other words, they should be set to a number that is coprime with the setting of rotor 1. The R & D department of the corporation building the system has employed you to calculate the number of possible configurations in which the rotors can be set

For example, assume you have rotorCount = 3 rotors and a range of minRotorValue =2 and maxRotorValue = 4. Our permutations are (2,3,3),(3,2,2),(3,2,4),(3,4,2),(3,4, 4) and (4, 3, 3). All of the other permutations are invalid due to the greatest common denominator constraint, so there are 6 valid configurations. To further demonstrate the reasoning, some of the invalid permutations are (2,3,2),(2,3,4),(2,2, 2)