






import numpy as np





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  Union[str, Any]:


 """simple docstring"""



 a		=			np.array(snake_case_  )
 a		=			np.array(snake_case_  )

 a		=			abs(predict - actual  )
 a		=			difference.mean()

 return score





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  List[Any]:


 """simple docstring"""



 a		=			np.array(snake_case_  )
 a		=			np.array(snake_case_  )

 a		=			predict - actual
 a		=			np.square(snake_case_  )

 a		=			square_diff.mean()
 return score





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  List[str]:


 """simple docstring"""



 a		=			np.array(snake_case_  )
 a		=			np.array(snake_case_  )

 a		=			predict - actual
 a		=			np.square(snake_case_  )
 a		=			square_diff.mean()
 a		=			np.sqrt(snake_case_  )
 return score





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  Union[str, Any]:


 """simple docstring"""



 a		=			np.array(snake_case_  )
 a		=			np.array(snake_case_  )

 a		=			np.log(predict + 1  )
 a		=			np.log(actual + 1  )

 a		=			log_predict - log_actual
 a		=			np.square(snake_case_  )
 a		=			square_diff.mean()

 a		=			np.sqrt(snake_case_  )

 return score





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  List[str]:


 """simple docstring"""



 a		=			np.array(snake_case_  )
 a		=			np.array(snake_case_  )

 a		=			predict - actual
 a		=			np.sum(snake_case_  ) / len(snake_case_  )
 a		=			np.sum(snake_case_  ) / len(snake_case_  )
 # print(numerator, denumerator)
 a		=			float(snake_case_  ) / denumerator * 1_0_0

 return score





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  List[str]:


 """simple docstring"""



 return np.mean(np.array(snake_case_  ) == np.array(snake_case_  )  )













def   SCREAMING_SNAKE_CASE__						(   snake_case_  )   ->  int:


	"""simple docstring"""



	return n * (2 * n - 1)





def   SCREAMING_SNAKE_CASE__						(   snake_case_  )   ->  bool:


	"""simple docstring"""



	a		=			(1 + 2_4 * n) ** 0.5
	return ((1 + root) / 6) % 1 == 0





def   SCREAMING_SNAKE_CASE__						(   snake_case_ = 1_4_4  )   ->  int:


	"""simple docstring"""



	a		=			start
	a		=			hexagonal_num(snake_case_  )
	while not is_pentagonal(snake_case_  ):
		n += 1
		a		=			hexagonal_num(snake_case_  )
	return num


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





