import random
import datetime

motchs = ('Jan', 'Feb', 'Mar', 'Apr', 'May', 'Jun',
          'Jul', 'Aug', 'Sep', 'Oct', 'Nov', 'Dec')

def getBarthday(inp):
    date = datetime.date(2000, 1, 1)
    dates = []
    for i in range(1, int(inp) + 1):
        rand_day = datetime.timedelta(random.randint(1, 364))
        rand_date = date + rand_day
        dates.append(rand_date)
    return dates

def sameDate(dates):
    if len(dates) == len(set(dates)):
        return None
    for a, barthdeyA in enumerate(dates):
        for b, barthdeyB in enumerate(dates[a + 1:]):
            if barthdeyA == barthdeyB:
                return barthdeyA

def getMonth(dates):
    for i, date in enumerate(dates):
        if i != 0:
            print(', ', end='')
        motch = motchs[date.month - 1]
        print(f"{motch} {date.day}", end='')

def sameMonth(dates):
    date = sameDate(dates)
    if date != None:
        same_date = motchs[date.month - 1]
        print(f"\nSame a {same_date} {date.day}")
    else:
        print("Nohing same")

def simualtion(inp):
    digit = 0
    for i in range(100_000):
        dates = getBarthday(inp)
        sam_date = sameDate(dates)
        if i % 10_000 == 0 and i != 0:
            print(f"Simulations {i}")
        if sam_date != None:
            digit += 1
    chanse = round((digit/100_000) * 100, 2)
    print(f"Same = {digit}")
    print(f"Chanse = {chanse}")


def main():
    while True:
        inp = ''
        while not inp.isdecimal() or int(inp) > 100:
            print("Enter number no more than 100")
            inp = input("> ")
        dates = getBarthday(inp)
        getMonth(dates)
        sameMonth(dates)
        simualtion(inp)
        print("You want play again?")
        if not input("(yes/no)> ").startswith('y'):
            print("Thanks for playing")
            break

if __name__ == '__main__':
    main()