Nikky and Byron are playing a silly game in gym class. Nikky is told by his teacher to walk forward a steps (1 ≤ a ≤ 100) and then walk backward b steps (1 ≤ b ≤ 100), after which he repeats a forward, b backward, etc. Likewise, Byron is told to walk forward c steps (1 ≤ c ≤ 100) and then walk backward d steps (1 ≤ d ≤ 100), after which he repeats c forward, d backward, etc. You may assume that a ≥ b and c ≥ d.
Byron and Nikky have the same length of step, and they are required to take their steps simultane- ously (that is, Nikky and Byron will both step forward on their first steps at the same time, and this will continue for each step).
Nikky and Byron start walking from one end of a soccer field. After s steps (1 ≤ s ≤ 10000), the gym teacher will blow the whistle. Your task is to figure out who has moved the farthest away from the starting position when the whistle is blown.
Input Specification
The input will be the 5 integers a, b, c, d, and s, each on a separate line.
Output Specification
The output of your program will be one of three possibilities: Nikky if Nikky is farther ahead after s steps are taken; Byron if Byron is farther ahead after s steps are taken; Tied if Byron and Nikky are at the same distance from their starting position after s steps are taken.
Sample Input
4 2 5 3 12
Output for Sample Input
Byron
Explanation of Output for Sample Input
Notice that after 12 steps, Nikky has moved 4 − 2 + 4 − 2 steps, for a total of 4 steps from the starting position, whereas Byron has moved 5 − 3 + 4 steps, for a total of 6 steps from the starting position. Thus, Byron is ahead.

Create a class hand in its own module. one object of class hand represents a hand of cards and so one object stores a number of card objects. for this assignment you will submit three separate modules, one with the definition of class card, one with the definition of class hand and one with the main application that thoroughly tests class hand.class hand must contain the following four methods: 1) , numcardsinhand) takes an integer as parameter and initializes a hand object with numcardsinhand card objects inside it. these card objects are generated randomly. for simplicity, assume an infinite number of decks of cards.2) bjvalue(self) returns the blackjack value for the whole hand of cards3) ) returns a string containing all the cards in the hand4) hitme(self) adds one randomly generated card to the handcreate a main program in its own module that thoroughly tests class hand. you will have three modules/files to upload to your etudes assignment submission: card.py, hand.py and the module that contains your main program.two alternatives for extra credit - you cannot get credit for both! (+1 point): after you have thoroughly tested the class hand and all of its methods, add code to your main program that stores one hand object as a pickle file and reads it back into a new hand object. you are only eligible for this extra credit if class hand has all four of the methods above working.or(+2 points): after you have thoroughly tested the class hand and all of its methods, add code to your main program that stores one hand object as a text file on the disk and reads it back into a new hand object. you are only eligible for this extra credit if class hand has all four of the methods above working.notes: -start by making any and all modifications suggested by my comments to your previous submission of class card from assignment #6 "a robust card object"-once your class card is tested and working well, you will not make any further modifications to it for the purposes of class hand.-you can keep the test code for class card intact. if it is indented inside an if __name__ == "__main__", then it will not be executed when your main program's module imports it.-to save time, write and test one method for class hand at a time.-under no circumstances are you to attempt the extra credit until you are completely finished with writing and testing all the methods in class hand.