# Plays a lottery game with the user, reading
# the user's numbers and printing how many matched.

import random

NUMBERS = 6
MAX_NUMBER = 40
PRIZE = 100

# Generates a set of the winning lotto numbers,
# which is returned as a set.
def create_winning_numbers():
    winning = set()
    while len(winning) < NUMBERS:
        num = random.randint(1, MAX_NUMBER)
        winning.add(num)
    return winning

# Reads the player's lottery ticket from the console,
# which is returned as a set.
def read_ticket():
    ticket = set()
    print("Type your", NUMBERS, "lotto numbers: ")
    while len(ticket) < NUMBERS:
        num = int(input("next number? "))
        ticket.add(num)
    print()
    return ticket

def main():
    # get winning number and ticket sets
    winning = create_winning_numbers()
    ticket = read_ticket()

    # print results
    print("Your ticket was:", ticket)
    print("Winning numbers:", winning)

    # keep only winning numbers from ticket (intersect)
    matches = ticket.intersect(winning)
    if len(matches) > 0:
        prize = 100 * 2 ** len(matches)
        print("Matched numbers:", matches)
        print("Your prize is $", prize)

main()