


from __future__ import annotations

import queue



class A__     :



  """simple docstring"""



  def __init__( self			:  Dict				,				lowerCamelCase__			:  Optional[Any]       ):
        a__	:  Any     =   data
        a__	:  str     =   None
        a__	:  str     =   None




def UpperCamelCase_				(				)	->   TreeNode:
      print("\n********Press N to stop entering at any point of time********\n"      )
      a__	:  Union[str, Any]     =   input("Enter the value of the root node: "      ).strip().lower()
      a__	:  queue.Queue     =   queue.Queue()
      a__	:  List[Any]     =   TreeNode(int(__a      )      )
      q.put(__a      )
      while not q.empty():
            a__	:  Dict     =   q.get()
            a__	:  str     =   f'''Enter the left node of {node_found.data}: '''
            a__	:  Any     =   input(__a      ).strip().lower() or "n"
            if check == "n":
                  return tree_node
            a__	:  Any     =   TreeNode(int(__a      )      )
            a__	:  str     =   left_node
            q.put(__a      )
            a__	:  Optional[Any]     =   f'''Enter the right node of {node_found.data}: '''
            a__	:  Any     =   input(__a      ).strip().lower() or "n"
            if check == "n":
                  return tree_node
            a__	:  List[Any]     =   TreeNode(int(__a      )      )
            a__	:  Tuple     =   right_node
            q.put(__a      )
      raise



def UpperCamelCase_				(				__a      )	->   None:
      if not isinstance(__a			,				__a      ) or not node:
            return
      print(node.data			,				end=","      )
      pre_order(node.left      )
      pre_order(node.right      )



def UpperCamelCase_				(				__a      )	->   None:
      if not isinstance(__a			,				__a      ) or not node:
            return
      in_order(node.left      )
      print(node.data			,				end=","      )
      in_order(node.right      )



def UpperCamelCase_				(				__a      )	->   None:
      if not isinstance(__a			,				__a      ) or not node:
            return
      post_order(node.left      )
      post_order(node.right      )
      print(node.data			,				end=","      )



def UpperCamelCase_				(				__a      )	->   None:
      if not isinstance(__a			,				__a      ) or not node:
            return
      a__	:  queue.Queue     =   queue.Queue()
      q.put(__a      )
      while not q.empty():
            a__	:  Union[str, Any]     =   q.get()
            print(node_dequeued.data			,				end=","      )
            if node_dequeued.left:
                  q.put(node_dequeued.left      )
            if node_dequeued.right:
                  q.put(node_dequeued.right      )



def UpperCamelCase_				(				__a      )	->   None:
      if not isinstance(__a			,				__a      ) or not node:
            return
      a__	:  queue.Queue     =   queue.Queue()
      q.put(__a      )
      while not q.empty():
            a__	:  List[Any]     =   []
            while not q.empty():
                  a__	:  Tuple     =   q.get()
                  print(node_dequeued.data			,				end=","      )
                  if node_dequeued.left:
                        list_.append(node_dequeued.left      )
                  if node_dequeued.right:
                        list_.append(node_dequeued.right      )
            print()
            for node in list_:
                  q.put(__a      )



def UpperCamelCase_				(				__a      )	->   None:
      if not isinstance(__a			,				__a      ) or not node:
            return
      a__	:  list[TreeNode]     =   []
      a__	:  Union[str, Any]     =   node
      while n or stack:
            while n:  # start from root node, find its left child
                  print(n.data			,				end=","      )
                  stack.append(__a      )
                  a__	:  List[Any]     =   n.left
            # end of while means current node doesn't have left child
            a__	:  Optional[int]     =   stack.pop()
            # start to traverse its right child
            a__	:  List[Any]     =   n.right



def UpperCamelCase_				(				__a      )	->   None:
      if not isinstance(__a			,				__a      ) or not node:
            return
      a__	:  list[TreeNode]     =   []
      a__	:  List[str]     =   node
      while n or stack:
            while n:
                  stack.append(__a      )
                  a__	:  List[str]     =   n.left
            a__	:  Dict     =   stack.pop()
            print(n.data			,				end=","      )
            a__	:  str     =   n.right



def UpperCamelCase_				(				__a      )	->   None:
      if not isinstance(__a			,				__a      ) or not node:
            return
      a__,	a__	:  Union[str, Any]     =   [], []
      a__	:  Tuple     =   node
      stacka.append(__a      )
      while stacka:  # to find the reversed order of post order, store it in stack2
            a__	:  Union[str, Any]     =   stacka.pop()
            if n.left:
                  stacka.append(n.left      )
            if n.right:
                  stacka.append(n.right      )
            stacka.append(__a      )
      while stacka:  # pop up from stack2 will be the post order
            print(stacka.pop().data			,				end=","      )



def UpperCamelCase_				(				__a = ""			,				__a=50			,				__a="*"      )	->   str:
      if not s:
            return "\n" + width * char
      a__,	a__	:  Any     =   divmod(width - len(__a      ) - 2			,				2      )
      return f'''{left * char} {s} {(left + extra) * char}'''


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    print(prompt("""Binary Tree Traversals"""))

    UpperCamelCase					:       TreeNode			    =     build_tree()
    print(prompt("""Pre Order Traversal"""))
    pre_order(node)
    print(prompt() + """\n""")

    print(prompt("""In Order Traversal"""))
    in_order(node)
    print(prompt() + """\n""")

    print(prompt("""Post Order Traversal"""))
    post_order(node)
    print(prompt() + """\n""")

    print(prompt("""Level Order Traversal"""))
    level_order(node)
    print(prompt() + """\n""")

    print(prompt("""Actual Level Order Traversal"""))
    level_order_actual(node)
    print("""*""" * 50 + """\n""")

    print(prompt("""Pre Order Traversal - Iteration Version"""))
    pre_order_iter(node)
    print(prompt() + """\n""")

    print(prompt("""In Order Traversal - Iteration Version"""))
    in_order_iter(node)
    print(prompt() + """\n""")

    print(prompt("""Post Order Traversal - Iteration Version"""))
    post_order_iter(node)
    print(prompt())







'''simple docstring'''



def       _UpperCamelCase			(_lowerCamelCase				:  Optional[Any]						)-> Dict:




     '''simple docstring'''





     __snake_case            =	[]
     __snake_case            =	[]
     __snake_case            =	{
         '''^''': 3,
         '''*''': 2,
         '''/''': 2,
         '''%''': 2,
         '''+''': 1,
         '''-''': 1,
     }  # Priority of each operator
     __snake_case            =	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				:  Optional[Any]						)-> str:




     '''simple docstring'''





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

     for i in range(len(_lowerCamelCase						)						):
          if infix[i] == "(":
               __snake_case            =	''')'''  # change "(" to ")"
          elif infix[i] == ")":
               __snake_case            =	'''('''  # change ")" to "("

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


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






