



from __future__ import annotations

from random import random




class 							lowerCAmelCase__  :







     def __init__(       self      :     str			,		_A      :     int | None = None):
           A__	:							List[Any]						    = value
           A__	:							Optional[int]						    = random()
           A__	:							Node | None						    = None
           A__	:							Node | None						    = None







     def __repr__(       self      :     int):
           from pprint import pformat

           if self.left is None and self.right is None:
                 return F'\'{self.value}: {self.prior:.5}\''
           else:
                 return pformat(
                     {F'{self.value}: {self.prior:.5}': (self.left, self.right)}			,		indent=1)







     def __str__(       self      :     List[str]):
           A__	:							List[Any]						    = str(self.value) + " "
           A__	:							Any						    = str(self.left or "")
           A__	:							List[Any]						    = str(self.right or "")
           return value + left + right




def 	snake_case__       (					__lowercase							,     __lowercase       )		->		tuple[Node | None, Node | None]:







      """simple docstring"""

      if root is None:  # None tree is split into 2 Nones
            return None, None
      elif root.value is None:
            return None, None
      else:
            if value < root.value:
                  A__	:							int						    = split(root.left							,     __lowercase       )
                  return left, root
            else:
                  A__	:							Union[str, Any]						    = split(root.right							,     __lowercase       )
                  return root, right
def 	snake_case__       (					__lowercase							,     __lowercase       )		->		Node | None:







      """simple docstring"""

      if (not left) or (not right):  # If one node is None, return the other
            return left or right
      elif left.prior < right.prior:
            A__	:							List[Any]						    = merge(left.right							,     __lowercase       )
            return left
      else:
            A__	:							Any						    = merge(__lowercase							,     right.left       )
            return right
def 	snake_case__       (					__lowercase							,     __lowercase       )		->		Node | None:







      """simple docstring"""

      A__	:							Optional[int]						    = Node(__lowercase       )
      A__	:							Tuple						    = split(__lowercase							,     __lowercase       )
      return merge(merge(__lowercase							,     __lowercase       )							,     __lowercase       )
def 	snake_case__       (					__lowercase							,     __lowercase       )		->		Node | None:







      """simple docstring"""

      A__	:							Any						    = split(__lowercase							,     value - 1       )
      A__	:							Optional[int]						    = split(__lowercase							,     __lowercase       )
      return merge(__lowercase							,     __lowercase       )
def 	snake_case__       (					__lowercase       )		->		None:







      """simple docstring"""

      if not root:  # None
            return
      else:
            inorder(root.left       )
            print(root.value							,     end=","       )
            inorder(root.right       )
def 	snake_case__       (					__lowercase							,     __lowercase       )		->		Node | None:







      """simple docstring"""

      for arg in args.split():
            if arg[0] == "+":
                  A__	:							Any						    = insert(__lowercase							,     int(arg[1:]       )       )

            elif arg[0] == "-":
                  A__	:							Optional[int]						    = erase(__lowercase							,     int(arg[1:]       )       )

            else:
                  print("Unknown command"       )

      return root
def 	snake_case__       (					)		->		None:







      """simple docstring"""

      A__	:							Optional[int]						    = None
      print(
          "enter numbers to create a tree, + value to add value into treap, "
          "- value to erase all nodes with value. 'q' to quit. "       )

      A__	:							Optional[Any]						    = input()
      while args != "q":
            A__	:							Any						    = interact_treap(__lowercase							,     __lowercase       )
            print(__lowercase       )
            A__	:							Any						    = input()

      print("good by!"       )


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()




snake_case    :						Tuple  =						'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
def 	snake_case__       (					)		->		None:







						"""simple docstring"""

						A__	:							Union[str, Any]						    = input("Enter message: "       )
						A__	:							Tuple						    = input("Enter key [alphanumeric]: "       )
						A__	:							Optional[Any]						    = input("Encrypt/Decrypt [e/d]: "       )

						if mode.lower().startswith("e"       ):
												A__	:							Tuple						    = "encrypt"
												A__	:							str						    = encrypt_message(__lowercase							,     __lowercase       )
						elif mode.lower().startswith("d"       ):
												A__	:							Optional[Any]						    = "decrypt"
												A__	:							Union[str, Any]						    = decrypt_message(__lowercase							,     __lowercase       )

						print(F'\n{mode.title()}ed message:'       )
						print(__lowercase       )
def 	snake_case__       (					__lowercase							,     __lowercase       )		->		str:







						"""simple docstring"""

						return translate_message(__lowercase							,     __lowercase							,     "encrypt"       )
def 	snake_case__       (					__lowercase							,     __lowercase       )		->		str:







						"""simple docstring"""

						return translate_message(__lowercase							,     __lowercase							,     "decrypt"       )
def 	snake_case__       (					__lowercase							,     __lowercase							,     __lowercase       )		->		str:







						"""simple docstring"""

						A__	:							Dict						    = []
						A__	:							Union[str, Any]						    = 0
						A__	:							List[Any]						    = key.upper()

						for symbol in message:
												A__	:							List[str]						    = LETTERS.find(symbol.upper()       )
												if num != -1:
																		if mode == "encrypt":
																								num += LETTERS.find(key[key_index]       )
																		elif mode == "decrypt":
																								num -= LETTERS.find(key[key_index]       )

																		num %= len(__lowercase       )

																		if symbol.isupper():
																								translated.append(LETTERS[num]       )
																		elif symbol.islower():
																								translated.append(LETTERS[num].lower()       )

																		key_index += 1
																		if key_index == len(__lowercase       ):
																								A__	:							Optional[int]						    = 0
												else:
																		translated.append(__lowercase       )
						return "".join(__lowercase       )


if __name__ == "__main__":
		main()