

'''simple docstring'''






import math


def 	_A  (					A__   ):






 """simple docstring"""



 if 1 < number < 4:
  # 2 and 3 are primes
  return True
 elif number < 2 or number % 2 == 0 or number % 3 == 0:
  # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
  return False

 # All primes number are in format of 6k +/- 1
 for i in range(5  ,       int(math.sqrt(A__   ) + 1   )  ,       6   ):
  if number % i == 0 or number % (i + 2) == 0:
   return False
 return True


def 	_A  (					A__ = 10001   ):






 """simple docstring"""



 try:
  __lowercase													=				int(A__   )
 except (TypeError, ValueError):
  raise TypeError('''Parameter nth must be int or castable to int.'''   ) from None
 if nth <= 0:
  raise ValueError('''Parameter nth must be greater than or equal to one.'''   )
 __lowercase													=				[]
 __lowercase													=				2
 while len(A__   ) < nth:
  if is_prime(A__   ):
   primes.append(A__   )
   num += 1
  else:
   num += 1
 return primes[len(A__   ) - 1]


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




'''simple docstring'''






def 	_A  (					A__ = 50   ):






 """simple docstring"""



 __lowercase													=				[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() = }')

