



"""simple docstring"""
def    A_  (			_lowercase = 50	):







						'''simple docstring'''


						snake_case_ :Dict						=			[1] * (length + 1)

						for row_length in range(3,					length + 1	):
												for block_length in range(3,					row_length + 1	):
																		for block_start in range(row_length - block_length	):
																								ways_number[row_length] += ways_number[
																								    row_length - block_start - block_length - 1
																								]

																		ways_number[row_length] += 1

						return ways_number[length]


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







from math import factorial




def 		lowerCAmelCase_    (  __UpperCAmelCase:			int		,   __UpperCAmelCase:			int      )      ->	int:

    # If either of the conditions are true, the function is being asked
    # to calculate a factorial of a negative number, which is not possible
    if n < k or k < 0:
        raise ValueError('''Please enter positive integers for n and k where n >= k'''      )
    return factorial(__UpperCAmelCase      ) // (factorial(__UpperCAmelCase      ) * factorial(n - k      ))


if __name__ == "__main__":
  print(
      'The number of five-card hands possible from a standard',
      F'''fifty-two card deck is: {combinations(52, 5)}\n''',
  )

  print(
      'If a class of 40 students must be arranged into groups of',
      F'''4 for group projects, there are {combinations(40, 4)} ways''',
      'to arrange them.\n',
  )

  print(
      'If 10 teams are competing in a Formula One race, there',
      F'''are {combinations(10, 3)} ways that first, second and''',
      'third place can be awarded.',
  )

