

"""simple docstring"""





from itertools import product

def 						__SCREAMING_SNAKE_CASE						(   A_ = 15				):
	lowerCAmelCase__			:		float						       =			0.0
	lowerCAmelCase__			:		float
	lowerCAmelCase__			:		int
	lowerCAmelCase__			:		int
	lowerCAmelCase__			:		int
	lowerCAmelCase__			:		int
	lowerCAmelCase__			:		tuple[int, ...]

	for series in product(range(2				)		,  repeat=A_				):
		lowerCAmelCase__			:		List[str]						       =			series.count(1				)
		lowerCAmelCase__			:		Optional[Any]						       =			num_turns - num_blue
		if num_red >= num_blue:
			continue
		lowerCAmelCase__			:		List[str]						       =			1.0
		for ind, col in enumerate(A_		,  2				):
			if col == 0:
				prob *= (ind - 1) / ind
			else:
				prob *= 1 / ind

		total_prob += prob

	return int(1 / total_prob				)


if __name__ == "__main__":
							print(F'''{solution() = }''')







"""simple docstring"""





import random
import sys

__UpperCamelCase						:   Tuple							   =	'''ABCDEFGHIJKLMNOPQRSTUVWXYZ'''

def 						__SCREAMING_SNAKE_CASE						(   ):
	lowerCAmelCase__			:		List[str]						       =			input('''Enter message: '''				)
	lowerCAmelCase__			:		Optional[int]						       =			'''LFWOAYUISVKMNXPBDCRJTQEGHZ'''
	lowerCAmelCase__			:		List[Any]						       =			input('''Encrypt/Decrypt [e/d]: '''				)

	check_valid_key(A_				)

	if resp.lower().startswith('''e'''				):
		lowerCAmelCase__			:		Tuple						       =			'''encrypt'''
		lowerCAmelCase__			:		Union[str, Any]						       =			encrypt_message(A_		,  A_				)
	elif resp.lower().startswith('''d'''				):
		lowerCAmelCase__			:		Dict						       =			'''decrypt'''
		lowerCAmelCase__			:		str						       =			decrypt_message(A_		,  A_				)

	print(f'\n{mode.title()}ion: \n{translated}'				)

def 						__SCREAMING_SNAKE_CASE						(   A_				):
	lowerCAmelCase__			:		str						       =			list(A_				)
	lowerCAmelCase__			:		int						       =			list(A_				)
	key_list.sort()
	letters_list.sort()

	if key_list != letters_list:
		sys.exit('''Error in the key or symbol set.'''				)

def 						__SCREAMING_SNAKE_CASE						(   A_		,  A_				):
	return translate_message(A_		,  A_		,  '''encrypt'''				)

def 						__SCREAMING_SNAKE_CASE						(   A_		,  A_				):
	return translate_message(A_		,  A_		,  '''decrypt'''				)

def 						__SCREAMING_SNAKE_CASE						(   A_		,  A_		,  A_				):
	lowerCAmelCase__			:		str						       =			''''''
	lowerCAmelCase__			:		List[str]						       =			LETTERS
	lowerCAmelCase__			:		Optional[int]						       =			key

	if mode == "decrypt":
		lowerCAmelCase__       ,lowerCAmelCase__			:		int						       =			chars_b, chars_a

	for symbol in message:
		if symbol.upper() in chars_a:
			lowerCAmelCase__			:		int						       =			chars_a.find(symbol.upper()				)
			if symbol.isupper():
				translated += chars_b[sym_index].upper()
			else:
				translated += chars_b[sym_index].lower()
		else:
			translated += symbol

	return translated

def 						__SCREAMING_SNAKE_CASE						(   ):
	lowerCAmelCase__			:		Optional[int]						       =			list(A_				)
	random.shuffle(A_				)
	return "".join(A_				)


if __name__ == "__main__":
							main()




