

import numpy as np







def  UpperCAmelCase_   (_lowerCAmelCase :		Dict     ,			_lowerCAmelCase :		Dict		):
			__UpperCamelCase    :    Union[str, Any]								=      np.array(_lowerCAmelCase		)
			__UpperCamelCase    :    Tuple								=      np.array(_lowerCAmelCase		)

			__UpperCamelCase    :    Any								=      abs(predict - actual		)
			__UpperCamelCase    :    Optional[Any]								=      difference.mean()

			return score







def  UpperCAmelCase_   (_lowerCAmelCase :		List[Any]     ,			_lowerCAmelCase :		Optional[Any]		):
			__UpperCamelCase    :    Dict								=      np.array(_lowerCAmelCase		)
			__UpperCamelCase    :    Tuple								=      np.array(_lowerCAmelCase		)

			__UpperCamelCase    :    Dict								=      predict - actual
			__UpperCamelCase    :    Union[str, Any]								=      np.square(_lowerCAmelCase		)

			__UpperCamelCase    :    Tuple								=      square_diff.mean()
			return score







def  UpperCAmelCase_   (_lowerCAmelCase :		Dict     ,			_lowerCAmelCase :		List[str]		):
			__UpperCamelCase    :    Any								=      np.array(_lowerCAmelCase		)
			__UpperCamelCase    :    List[Any]								=      np.array(_lowerCAmelCase		)

			__UpperCamelCase    :    Dict								=      predict - actual
			__UpperCamelCase    :    Any								=      np.square(_lowerCAmelCase		)
			__UpperCamelCase    :    Optional[Any]								=      square_diff.mean()
			__UpperCamelCase    :    Optional[int]								=      np.sqrt(_lowerCAmelCase		)
			return score







def  UpperCAmelCase_   (_lowerCAmelCase :		Tuple     ,			_lowerCAmelCase :		Any		):
			__UpperCamelCase    :    Any								=      np.array(_lowerCAmelCase		)
			__UpperCamelCase    :    List[str]								=      np.array(_lowerCAmelCase		)

			__UpperCamelCase    :    List[Any]								=      np.log(predict + 1		)
			__UpperCamelCase    :    Union[str, Any]								=      np.log(actual + 1		)

			__UpperCamelCase    :    str								=      log_predict - log_actual
			__UpperCamelCase    :    Optional[int]								=      np.square(_lowerCAmelCase		)
			__UpperCamelCase    :    Any								=      square_diff.mean()

			__UpperCamelCase    :    List[Any]								=      np.sqrt(_lowerCAmelCase		)

			return score







def  UpperCAmelCase_   (_lowerCAmelCase :		List[str]     ,			_lowerCAmelCase :		Dict		):
			__UpperCamelCase    :    int								=      np.array(_lowerCAmelCase		)
			__UpperCamelCase    :    Union[str, Any]								=      np.array(_lowerCAmelCase		)

			__UpperCamelCase    :    List[str]								=      predict - actual
			__UpperCamelCase    :    str								=      np.sum(_lowerCAmelCase		) / len(_lowerCAmelCase		)
			__UpperCamelCase    :    str								=      np.sum(_lowerCAmelCase		) / len(_lowerCAmelCase		)
			# print(numerator, denumerator)
			__UpperCamelCase    :    str								=      float(_lowerCAmelCase		) / denumerator * 1_00

			return score







def  UpperCAmelCase_   (_lowerCAmelCase :		Any     ,			_lowerCAmelCase :		str		):
			return np.mean(np.array(_lowerCAmelCase		) == np.array(_lowerCAmelCase		)		)


from .balanced_parentheses import balanced_parentheses
from .stack import Stack







def  UpperCAmelCase_   (_lowerCAmelCase :		str		):
			return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(_lowerCAmelCase     ,			-1		)







def  UpperCAmelCase_   (_lowerCAmelCase :		str		):
			if not balanced_parentheses(_lowerCAmelCase		):
						raise ValueError("Mismatched parentheses"		)
			__UpperCamelCase    :    Stack[str]								=      Stack()
			__UpperCamelCase    :    int								=      []
			for char in expression_str:
						if char.isalpha() or char.isdigit():
									postfix.append(_lowerCAmelCase		)
						elif char == "(":
									stack.push(_lowerCAmelCase		)
						elif char == ")":
									while not stack.is_empty() and stack.peek() != "(":
												postfix.append(stack.pop()		)
									stack.pop()
						else:
									while not stack.is_empty() and precedence(_lowerCAmelCase		) <= precedence(stack.peek()		):
												postfix.append(stack.pop()		)
									stack.push(_lowerCAmelCase		)
			while not stack.is_empty():
						postfix.append(stack.pop()		)
			return " ".join(_lowerCAmelCase		)


if __name__ == "__main__":
					from doctest import testmod

					testmod()
					lowercase     :       int        =       "a+b*(c^d-e)^(f+g*h)-i"

					print("Infix to Postfix Notation demonstration:\n")
					print("Infix notation: " + expression)
					print("Postfix notation: " + infix_to_postfix(expression))