

"""simple docstring"""





def   _A  (  UpperCamelCase_     :       Union[str, Any])	->						Dict:
   '''simple docstring'''


   __lowercase								=						[]
   __lowercase								=						[]
   __lowercase								=						{
       "^": 3,
       "*": 2,
       "/": 2,
       "%": 2,
       "+": 1,
       "-": 1,
   }  # Priority of each operator
   __lowercase								=						len(UpperCamelCase_) if (len(UpperCamelCase_) > 7) else 7

   # Print table header for output
   print(
       "Symbol".center(8),			"Stack".center(UpperCamelCase_),			"Postfix".center(UpperCamelCase_),			sep=" | ",			)
   print("-" * (print_width * 3 + 7))

   for x in infix:
      if x.isalpha() or x.isdigit():
         post_fix.append(UpperCamelCase_)  # if x is Alphabet / Digit, add it to Postfix
      elif x == "(":
         stack.append(UpperCamelCase_)  # if x is "(" push to Stack
      elif x == ")":  # if x is ")" pop stack until "(" is encountered
         while stack[-1] != "(":
            post_fix.append(stack.pop())  # Pop stack & add the content to Postfix
         stack.pop()
      else:
         if len(UpperCamelCase_) == 0:
            stack.append(UpperCamelCase_)  # If stack is empty, push x to stack
         else:  # while priority of x is not > priority of element in the stack
            while len(UpperCamelCase_) > 0 and priority[x] <= priority[stack[-1]]:
               post_fix.append(stack.pop())  # pop stack & add to Postfix
            stack.append(UpperCamelCase_)  # push x to stack

      print(
          x.center(8),			("".join(UpperCamelCase_)).ljust(UpperCamelCase_),			("".join(UpperCamelCase_)).ljust(UpperCamelCase_),			sep=" | ",			)  # Output in tabular format

   while len(UpperCamelCase_) > 0:  # while stack is not empty
      post_fix.append(stack.pop())  # pop stack & add to Postfix
      print(
          " ".center(8),			("".join(UpperCamelCase_)).ljust(UpperCamelCase_),			("".join(UpperCamelCase_)).ljust(UpperCamelCase_),			sep=" | ",			)  # Output in tabular format

   return "".join(UpperCamelCase_)  # return Postfix as str




def   _A  (  UpperCamelCase_     :       Union[str, Any])	->						List[Any]:
   '''simple docstring'''


   __lowercase								=						list(infix[::-1])  # reverse the infix equation

   for i in range(len(UpperCamelCase_)):
      if infix[i] == "(":
         __lowercase								=						")"  # change "(" to ")"
      elif infix[i] == ")":
         __lowercase								=						"("  # change ")" to "("

   return (infix_2_postfix("".join(UpperCamelCase_)))[
       ::-1
   ]  # call infix_2_postfix on Infix, return reverse of Postfix


if __name__ == "__main__":
   _a       =							input('\nEnter an Infix Equation = ')  # Input an Infix equation
   _a       =							''.join(Infix.split())  # Remove spaces from the input
   print('\n\t', Infix, '(Infix) -> ', infix_2_prefix(Infix), '(Prefix)')










'''simple docstring'''

from __future__ import annotations

import math


def 		__magic_name__    (	__UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	)		->					int:

					'''simple docstring'''

					if depth < 0:
										raise ValueError('''Depth cannot be less than 0'''	)

					if len(__UpperCAmelCase	) == 0:
										raise ValueError('''Scores cannot be empty'''	)

					if depth == height:
										return scores[node_index]

					if is_max:
										return max(
										    minimax(depth + 1,      node_index * 2,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	),      minimax(depth + 1,      node_index * 2 + 1,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	),      )

					return min(
					    minimax(depth + 1,      node_index * 2,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	),      minimax(depth + 1,      node_index * 2 + 1,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	),      )


def 		__magic_name__    (	)		->					None:

					'''simple docstring'''

					snake_case_									=				[90, 23, 6, 33, 21, 65, 123, 3_4423]
					snake_case_									=				math.log(len(__UpperCAmelCase	),      2	)
					print('''Optimal value : ''',      end=''''''	)
					print(minimax(0,      0,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	)	)


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							main()

