




import math

__A						:							Optional[int]							=  1_0
__A						:							Union[str, Any]							=  7
__A						:							Union[str, Any]							=  BALLS_PER_COLOUR * NUM_COLOURS
def 					lowerCamelCase_    (    SCREAMING_SNAKE_CASE = 20   ):
			'''simple docstring'''
			SCREAMING_SNAKE_CASE           =					math.comb(SCREAMING_SNAKE_CASE					,	SCREAMING_SNAKE_CASE   )
			SCREAMING_SNAKE_CASE           =					math.comb(NUM_BALLS - BALLS_PER_COLOUR					,	SCREAMING_SNAKE_CASE   )

			SCREAMING_SNAKE_CASE           =					NUM_COLOURS * (1 - missing_colour / total)

			return f"""{result:.9f}"""


if __name__ == "__main__":
		print(solution(2_0))







from __future__ import annotations

import math
def 					lowerCamelCase_    (    SCREAMING_SNAKE_CASE   ):
			'''simple docstring'''

			if num <= 0:
						SCREAMING_SNAKE_CASE           =					f"""{num}: Invalid input, please enter a positive integer."""
						raise ValueError(SCREAMING_SNAKE_CASE   )

			SCREAMING_SNAKE_CASE           =					[True] * (num + 1)
			SCREAMING_SNAKE_CASE           =					[]
			SCREAMING_SNAKE_CASE           =					2
			SCREAMING_SNAKE_CASE           =					int(math.sqrt(SCREAMING_SNAKE_CASE   )   )

			while start <= end:
						# If start is a prime
						if sieve[start] is True:
									prime.append(SCREAMING_SNAKE_CASE   )

									# Set multiples of start be False
									for i in range(start * start					,	num + 1					,	SCREAMING_SNAKE_CASE   ):
												if sieve[i] is True:
															SCREAMING_SNAKE_CASE           =					False

						start += 1

			for j in range(end + 1					,	num + 1   ):
						if sieve[j] is True:
									prime.append(SCREAMING_SNAKE_CASE   )

			return prime


if __name__ == "__main__":
		print(prime_sieve(int(input("""Enter a positive integer: """).strip())))






