





'''simple docstring'''







from .balanced_parentheses import balanced_parentheses
from .stack import Stack





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      str )			->						int:
						return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(SCREAMING_SNAKE_CASE__,      -1 )





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


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

					testmod()
					snake_case_  :							Union[str, Any]            =	"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))







def 					SCREAMING_SNAKE_CASE  (   __UpperCamelCase			:    list[int]							)			->							int:

				"""simple docstring"""







				if not isinstance(__UpperCamelCase				,    __UpperCamelCase							) or not all(
				    isinstance(__UpperCamelCase				,    __UpperCamelCase							) and item >= 0 for item in citations							):
								raise ValueError('''The citations should be a list of non negative integers.'''							)

				citations.sort()
				A__	:						str								=				len(__UpperCamelCase							)

				for i in range(__UpperCamelCase							):
								if citations[len_citations - 1 - i] <= i:
												return i

				return len_citations


if __name__ == "__main__":
					import doctest

					doctest.testmod()