
def        __UpperCamelCase					(    lowerCAmelCase__							:    Union[str, Any]  ):
 __a			:  Tuple		    =  []
 __a			:  Optional[int]		    =  []
 __a			:  Dict		    =  {
     '''^''': 3,
     '''*''': 2,
     '''/''': 2,
     '''%''': 2,
     '''+''': 1,
     '''-''': 1,
 }  # Priority of each operator
 __a			:  Tuple		    =  len(lowerCAmelCase__  ) if (len(lowerCAmelCase__  ) > 7) else 7

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

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

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

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

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




def        __UpperCamelCase					(    lowerCAmelCase__							:    int  ):
 __a			:  Dict		    =  list(infix[::-1]  )  # reverse the infix equation

 for i in range(len(lowerCAmelCase__  )  ):
  if infix[i] == "(":
   __a			:  Union[str, Any]		    =  ''')'''  # change "(" to ")"
  elif infix[i] == ")":
   __a			:  List[Any]		    =  '''('''  # change ")" to "("

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


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


from __future__ import annotations

# This is the precision for this function which can be altered.
# It is recommended for users to keep this number greater than or equal to 10.
lowercase__          =10




def        __UpperCamelCase					(    lowerCAmelCase__							:    int  ,       lowerCAmelCase__							:    int  ,       lowerCAmelCase__							:    list[int]  ,       lowerCAmelCase__							:    int  ):
 for i in range(lowerCAmelCase__  ,       lowerCAmelCase__  ):
  if array[i] == target:
   return i
 return -1




def        __UpperCamelCase					(    lowerCAmelCase__							:    list[int]  ,       lowerCAmelCase__							:    int  ):
 __a			:  List[Any]		    =  0
 __a			:  Union[str, Any]		    =  len(lowerCAmelCase__  )
 while left <= right:
  if right - left < precision:
   return lin_search(lowerCAmelCase__  ,       lowerCAmelCase__  ,       lowerCAmelCase__  ,       lowerCAmelCase__  )

  __a			:  str		    =  (left + right) // 3 + 1
  __a			:  List[Any]		    =  2 * (left + right) // 3 + 1

  if array[one_third] == target:
   return one_third
  elif array[two_third] == target:
   return two_third

  elif target < array[one_third]:
   __a			:  List[str]		    =  one_third - 1
  elif array[two_third] < target:
   __a			:  List[str]		    =  two_third + 1

  else:
   __a			:  Dict		    =  one_third + 1
   __a			:  Any		    =  two_third - 1
 else:
  return -1




def        __UpperCamelCase					(    lowerCAmelCase__							:    int  ,       lowerCAmelCase__							:    int  ,       lowerCAmelCase__							:    list[int]  ,       lowerCAmelCase__							:    int  ):
 if left < right:
  if right - left < precision:
   return lin_search(lowerCAmelCase__  ,       lowerCAmelCase__  ,       lowerCAmelCase__  ,       lowerCAmelCase__  )
  __a			:  Union[str, Any]		    =  (left + right) // 3 + 1
  __a			:  Optional[Any]		    =  2 * (left + right) // 3 + 1

  if array[one_third] == target:
   return one_third
  elif array[two_third] == target:
   return two_third

  elif target < array[one_third]:
   return rec_ternary_search(lowerCAmelCase__  ,       one_third - 1  ,       lowerCAmelCase__  ,       lowerCAmelCase__  )
  elif array[two_third] < target:
   return rec_ternary_search(two_third + 1  ,       lowerCAmelCase__  ,       lowerCAmelCase__  ,       lowerCAmelCase__  )
  else:
   return rec_ternary_search(one_third + 1  ,       two_third - 1  ,       lowerCAmelCase__  ,       lowerCAmelCase__  )
 else:
  return -1


if __name__ == "__main__":
      import doctest

      doctest.testmod()

      lowercase__          =input('Enter numbers separated by comma:\n').strip()
      lowercase__          =[int(item.strip()) for item in user_input.split(',')]
      assert collection == sorted(collection), F"List must be ordered.\n{collection}."
      lowercase__          =int(input('Enter the number to be found in the list:\n').strip())
      lowercase__          =ite_ternary_search(collection, target)
      lowercase__          =rec_ternary_search(0, len(collection) - 1, collection, target)
      if resulta != -1:
            print(F"""Iterative search: {target} found at positions: {resulta}""")
            print(F"""Recursive search: {target} found at positions: {resulta}""")
      else:
            print('Not found')
