


'''simple docstring'''

from __future__ import annotations

# Define the Gravitational Constant G and the function
__lowercase:		Optional[Any]							=     6.6_7_4_3e-1_1  # unit of G : m^3 * kg^-1 * s^-2



def        SCREAMING_SNAKE_CASE__(		_UpperCamelCase      :				str    ,		_UpperCamelCase      :				List[str]    ,		_UpperCamelCase      :				Union[str, Any]    ,		_UpperCamelCase      :				str   )		->					dict[str, float]:





   '''simple docstring'''







   UpperCamelCase__ 						=						mass_a * mass_a

   if (force, mass_a, mass_a, distance).count(0   ) != 1:
      raise ValueError("One and only one argument must be 0"   )
   if force < 0:
      raise ValueError("Gravitational force can not be negative"   )
   if distance < 0:
      raise ValueError("Distance can not be negative"   )
   if mass_a < 0 or mass_a < 0:
      raise ValueError("Mass can not be negative"   )
   if force == 0:
      UpperCamelCase__ 						=						GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
      return {"force": force}
   elif mass_a == 0:
      UpperCamelCase__ 						=						(force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
      return {"mass_1": mass_a}
   elif mass_a == 0:
      UpperCamelCase__ 						=						(force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
      return {"mass_2": mass_a}
   elif distance == 0:
      UpperCamelCase__ 						=						(GRAVITATIONAL_CONSTANT * product_of_mass / (force)) ** 0.5
      return {"distance": distance}
   raise ValueError("One and only one argument must be 0"   )


# Run doctest
if __name__ == "__main__":
   import doctest

   doctest.testmod()



'''simple docstring'''

from __future__ import annotations

import random
from collections.abc import Iterable
from typing import Any, Generic, TypeVar

__lowercase:		Optional[Any]							=     TypeVar("T", bound=bool)







class  UpperCAmelCase (       Generic[T]):

 def __init__( self :	int,					a_ :	T					):





    """simple docstring"""



    UpperCamelCase__ 						=						value
    UpperCamelCase__ 						=						None
    UpperCamelCase__ 						=						None

 @property
 def 		lowercase_						( self :	Dict					):





    """simple docstring"""



    return self._value

 @staticmethod
 def 		lowercase_						( a_ :	RandomizedHeapNode[T] | None,					a_ :	RandomizedHeapNode[T] | None					):





    """simple docstring"""



    if not roota:
       return roota

    if not roota:
       return roota

    if roota.value > roota.value:
       UpperCamelCase__						,		UpperCamelCase__ 						=						roota, roota

    if random.choice([True, False]					):
       UpperCamelCase__						,		UpperCamelCase__ 						=						roota.right, roota.left

    UpperCamelCase__ 						=						RandomizedHeapNode.merge(roota.left,					a_					)

    return roota







class  UpperCAmelCase (       Generic[T]):

 def __init__( self :	List[Any],					a_ :	Iterable[T] | None = ()					):





    """simple docstring"""



    UpperCamelCase__ 						=						None

    if data:
       for item in data:
          self.insert(a_					)

 def 		lowercase_						( self :	Any,					a_ :	T					):





    """simple docstring"""



    UpperCamelCase__ 						=						RandomizedHeapNode.merge(self._root,					RandomizedHeapNode(a_					)					)

 def 		lowercase_						( self :	Any					):





    """simple docstring"""



    UpperCamelCase__ 						=						self.top()

    if self._root is None:
       return None

    UpperCamelCase__ 						=						RandomizedHeapNode.merge(self._root.left,					self._root.right					)

    return result

 def 		lowercase_						( self :	Union[str, Any]					):





    """simple docstring"""



    if not self._root:
       raise IndexError("Can't get top element for the empty heap."					)
    return self._root.value

 def 		lowercase_						( self :	Tuple					):





    """simple docstring"""



    UpperCamelCase__ 						=						None

 def 		lowercase_						( self :	int					):





    """simple docstring"""



    UpperCamelCase__ 						=						[]
    while self:
       result.append(self.pop()					)

    return result

 def __bool__( self :	List[Any]					):





    """simple docstring"""



    return self._root is not None


if __name__ == "__main__":
       import doctest

       doctest.testmod()