code: 
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						return n * (2 * n - 1)
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> bool:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  Union[str, Any]    			=      (1 + 24 * n) ** 0.5
  						return ((1 + root) / 6) % 1 == 0
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int = 144     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  Tuple    			=      start
  						_lowercase					:  Optional[int]    			=      hexagonal_num(_UpperCAmelCase     )
  						while not is_pentagonal(_UpperCAmelCase     ):
  												n += 1
  												_lowercase					:  Optional[Any]    			=      hexagonal_num(_UpperCAmelCase     )
  						return num
  
  
  if __name__ == "__main__":
  							print(f'''{solution()} = ''')
  
  
  
  
  
style_context: 
  import os
  
  
  
  def 		UpperCamelCase    (					)      -> Optional[int]:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  Tuple    			=      0
  						_lowercase					:  List[Any]    			=      0
  						with open(os.path.dirname(_UpperCAmelCase     ) + "/p022_names.txt"     ) as file:
  												_lowercase					:  Any    			=      str(file.readlines()[0]     )
  												_lowercase					:  int    			=      name.replace("\""   , ""     ).split(","     )
  
  						name.sort()
  						for i in range(len(_UpperCAmelCase     )     ):
  												for j in name[i]:
  																		temp_sum += ord(_UpperCAmelCase     ) - ord("A"     ) + 1
  												total_sum += (i + 1) * temp_sum
  												_lowercase					:  Tuple    			=      0
  						return total_sum
  
  
  if __name__ == "__main__":
  							print(solution())
  
  
  
  
  