Fraction Game

from random import randrange

# calculates multipier based on how large the denominator can get
def calculate_starting_multiplier(max):
    if max <= 5:
        return 1
    elif max > 5 and max <= 7:
        return 1.25
    elif max > 7 and max <= 9:
        return 1.5
    elif max > 9 and max <= 12:
        return 1.75
    elif max > 12 and max <= 15:
        return 2
    else:
        return 3
def get_difficulty():
    DIFFICULTIES = {"EASY": 10, "MEDIUM" : 5, "HARD" : 3}
    chances = input(f"Select difficulty(1 - {DIFFICULTIES['EASY']}, 2 - {DIFFICULTIES['MEDIUM']}, 3 - {DIFFICULTIES['HARD']}): ")
    if (chances.isalpha()):
        print("Please enter the number associated with the difficulty (1,2,3)")
        return get_difficulty()

    chances = int(chances)

    if chances == 1:
        return DIFFICULTIES['EASY']
    elif chances == 2:
        return DIFFICULTIES["MEDIUM"]
    elif chances == 3:
        return DIFFICULTIES["HARD"]
    else:
        print("Please enter a 1, 2, 3 to select difficulty")
        return get_difficulty()

def game():
    print("Fraction Game\nAnswer with the correct fraction rounded to the thousandths place if possible.")
    a = input("What is the minimum denominator: ")
    b = input("What is the maximum denominator: ")

    # swapping the values if they're entered in the wrong order
    if int(a) > int(b):
        temp = a
        a = b
        b = temp

    print(f"a: {a}\nb: {b}")

    # checking to make sure the numbers are indeed numbers
    if a.isalpha() or b.isalpha():
        print("The input you provided is incorrect, make sure to enter only natural numbers.")
        game()
        return

    # once numbers have been confirmed as non-alphabetical, we turn them into natural numbers
    a = abs(int(a))
    b = abs(int(b))

    # points gamify the process
    points = 0

    # correct answers increase the multiplier
    correct = 0

    # multipier value of points
    correct_multiplier = calculate_starting_multiplier(b)

    # chance left until games in
    chances = get_difficulty()
    starting_chances = chances

    while chances > 0:
        # creating this rounds number
        denominator = randrange(a, b + 1)

        if denominator == 1:
            # if denominator is 1 we generate a random number between 1 and the max value as it'll be a natural number
            numerator = randrange(1, b)
        else:
            numerator = randrange(1, denominator)

        correct_answer = str(numerator) if denominator == 1 else str(round(numerator / denominator, 3))
        answer = input(f"{numerator}/{denominator} = ")

        # if correct add points
        if answer == correct_answer:
            # every 5 correct we update the multiplier
            if correct % 5 == 0:
                correct_multiplier += 0.1

            correct += 1
            points += (1 * correct_multiplier)
            print("Good!")
        else:
            chances -= 1
            print(f"{'x' * (starting_chances - chances)}")
    print(f"Final Score: {round(points, 2)}")

game()