





'''simple docstring'''






from __future__ import annotations

from random import random




class  UpperCAmelCase     :




      def __init__(			self			: Any			,			__snake_case			: int | None = None  )				->      str:
            _lowerCAmelCase							     =							value
            _lowerCAmelCase							     =							random()
            _lowerCAmelCase							     =							None
            _lowerCAmelCase							     =							None




      def __repr__(			self			: Dict  )				->      str:
            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			: Dict  )				->      str:
            _lowerCAmelCase							     =							str(self.value  ) + """ """
            _lowerCAmelCase							     =							str(self.left or """"""  )
            _lowerCAmelCase							     =							str(self.right or """"""  )
            return value + left + right




def    UpperCamelCase__      (		lowerCAmelCase							,	lowerCAmelCase  ):





      """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:
                  _lowerCAmelCase     ,							_lowerCAmelCase							     =							split(root.left							,	lowerCAmelCase  )
                  return left, root
            else:
                  _lowerCAmelCase     ,							_lowerCAmelCase							     =							split(root.right							,	lowerCAmelCase  )
                  return root, right
def    UpperCamelCase__      (		lowerCAmelCase							,	lowerCAmelCase  ):





      """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:
            _lowerCAmelCase							     =							merge(left.right							,	lowerCAmelCase  )
            return left
      else:
            _lowerCAmelCase							     =							merge(lowerCAmelCase							,	right.left  )
            return right
def    UpperCamelCase__      (		lowerCAmelCase							,	lowerCAmelCase  ):





      """simple docstring"""


      _lowerCAmelCase							     =							Node(lowerCAmelCase  )
      _lowerCAmelCase     ,							_lowerCAmelCase							     =							split(lowerCAmelCase							,	lowerCAmelCase  )
      return merge(merge(lowerCAmelCase							,	lowerCAmelCase  )							,	lowerCAmelCase  )
def    UpperCamelCase__      (		lowerCAmelCase							,	lowerCAmelCase  ):





      """simple docstring"""


      _lowerCAmelCase     ,							_lowerCAmelCase							     =							split(lowerCAmelCase							,	value - 1  )
      _lowerCAmelCase     ,							_lowerCAmelCase							     =							split(lowerCAmelCase							,	lowerCAmelCase  )
      return merge(lowerCAmelCase							,	lowerCAmelCase  )
def    UpperCamelCase__      (		lowerCAmelCase  ):





      """simple docstring"""


      if not root:  # None
            return
      else:
            inorder(root.left  )
            print(root.value							,	end=""","""  )
            inorder(root.right  )
def    UpperCamelCase__      (		lowerCAmelCase							,	lowerCAmelCase  ):





      """simple docstring"""


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

            elif arg[0] == "-":
                  _lowerCAmelCase							     =							erase(lowerCAmelCase							,	int(arg[1:]  )  )

            else:
                  print("""Unknown command"""  )

      return root
def    UpperCamelCase__      (		):





      """simple docstring"""


      _lowerCAmelCase							     =							None
      print(
          """enter numbers to create a tree, + value to add value into treap, """
          """- value to erase all nodes with value. 'q' to quit. """  )

      _lowerCAmelCase							     =							input()
      while args != "q":
            _lowerCAmelCase							     =							interact_treap(lowerCAmelCase							,	lowerCAmelCase  )
            print(lowerCAmelCase  )
            _lowerCAmelCase							     =							input()

      print("""good by!"""  )


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()













'''simple docstring'''

def 						UpperCamelCase				(							_lowerCamelCase					:					int | float | str       ):
    try:
        A__				=			float(_lowerCamelCase       )
    except ValueError:
        raise ValueError("Please enter a valid number"       )
    A__				=			decimal - int(_lowerCamelCase       )
    if fractional_part == 0:
        return int(_lowerCamelCase       ), 1
    else:
        A__				=			len(str(_lowerCamelCase       ).split("."       )[1]       )
        A__				=			int(decimal * (10**number_of_frac_digits)       )
        A__				=			10**number_of_frac_digits
        A__,	A__				=			denominator, numerator
        while True:
            A__				=			dividend % divisor
            if remainder == 0:
                break
            A__,	A__				=			divisor, remainder
        A__,	A__				=			numerator / divisor, denominator / divisor
        return int(_lowerCamelCase       ), int(_lowerCamelCase       )


if __name__ == "__main__":
  print(f"""{decimal_to_fraction(2) = }""")
  print(f"""{decimal_to_fraction(89.0) = }""")
  print(f"""{decimal_to_fraction("67") = }""")
  print(f"""{decimal_to_fraction("45.0") = }""")
  print(f"""{decimal_to_fraction(1.5) = }""")
  print(f"""{decimal_to_fraction("6.25") = }""")
  print(f"""{decimal_to_fraction("78td") = }""")



