





def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   int      ,						_lowercase    :   int )      ->       int:




		'''simple docstring'''
		lowercase__				:			int            =		1.0
		for i in range(1      ,						r + 1 ):
				ret *= (n + 1 - i) / i
		return round(_lowercase )


def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   int )      ->       int:




		'''simple docstring'''
		return choose(8 + n      ,						_lowercase ) + choose(9 + n      ,						_lowercase ) - 10


def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   int )      ->       int:




		'''simple docstring'''
		return sum(non_bouncy_exact(_lowercase ) for i in range(1      ,						n + 1 ) )


def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   int = 100 )      ->       int:




		'''simple docstring'''
		return non_bouncy_upto(_lowercase )


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









def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   list )      ->       list:




		'''simple docstring'''
		lowercase__				:			Any            =		len(_lowercase )
		for cycle_start in range(0      ,						array_len - 1 ):
				lowercase__				:			List[str]            =		array[cycle_start]

				lowercase__				:			str            =		cycle_start
				for i in range(cycle_start + 1      ,						_lowercase ):
						if array[i] < item:
								pos += 1

				if pos == cycle_start:
						continue

				while item == array[pos]:
						pos += 1

				lowercase__      ,							lowercase__				:			Optional[Any]            =		item, array[pos]
				while pos != cycle_start:
						lowercase__				:			str            =		cycle_start
						for i in range(cycle_start + 1      ,						_lowercase ):
								if array[i] < item:
										pos += 1

						while item == array[pos]:
								pos += 1

						lowercase__      ,							lowercase__				:			Tuple            =		item, array[pos]

		return array


if __name__ == "__main__":
			assert cycle_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
			assert cycle_sort([0, 1, -1_0, 1_5, 2, -2]) == [-1_0, -2, 0, 1, 2, 1_5]


