



from __future__ import annotations

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

__lowerCamelCase								=      TypeVar('''T''', bound=bool)


class 	snake_case_			(Generic[T]	):




       """simple docstring"""






       def __init__(  self  ,lowercase):

             """simple docstring"""





             UpperCAmelCase_	:						T					   =		value
             UpperCAmelCase_	:						RandomizedHeapNode[T] | None					   =		None
             UpperCAmelCase_	:						RandomizedHeapNode[T] | None					   =		None



       @property
       def 			A_ (  self):

             """simple docstring"""





             return self._value



       @staticmethod
       def 			A_ (  lowercase  ,lowercase):

             """simple docstring"""





             if not roota:
                   return roota

             if not roota:
                   return roota

             if roota.value > roota.value:
                   UpperCAmelCase_   ,   UpperCAmelCase_	:						Optional[int]					   =		roota, roota

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

             UpperCAmelCase_	:						str					   =		RandomizedHeapNode.merge(roota.left  ,lowercase)

             return roota


class 	snake_case_			(Generic[T]	):




       """simple docstring"""






       def __init__(  self  ,lowercase = ()):

             """simple docstring"""





             UpperCAmelCase_	:						RandomizedHeapNode[T] | None					   =		None

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



       def 			A_ (  self  ,lowercase):

             """simple docstring"""





             UpperCAmelCase_	:						List[str]					   =		RandomizedHeapNode.merge(self._root  ,RandomizedHeapNode(lowercase))



       def 			A_ (  self):

             """simple docstring"""





             UpperCAmelCase_	:						Optional[Any]					   =		self.top()

             if self._root is None:
                   return None

             UpperCAmelCase_	:						Optional[Any]					   =		RandomizedHeapNode.merge(self._root.left  ,self._root.right)

             return result



       def 			A_ (  self):

             """simple docstring"""





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



       def 			A_ (  self):

             """simple docstring"""





             UpperCAmelCase_	:						Optional[Any]					   =		None



       def 			A_ (  self):

             """simple docstring"""





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

             return result



       def __bool__(  self):

             """simple docstring"""





             return self._root is not None


if __name__ == "__main__":
   import doctest

   doctest.testmod()





def  _snake_case			(							__snake_case       ,	__snake_case       ,	__snake_case     )  ->  list[int]:






      '''simple docstring'''







      if hue < 0 or hue > 3_6_0:
            raise Exception("hue should be between 0 and 360"     )

      if saturation < 0 or saturation > 1:
            raise Exception("saturation should be between 0 and 1"     )

      if value < 0 or value > 1:
            raise Exception("value should be between 0 and 1"     )

      UpperCAmelCase_	:						Tuple					   =		value * saturation
      UpperCAmelCase_	:						Union[str, Any]					   =		hue / 6_0
      UpperCAmelCase_	:						Tuple					   =		chroma * (1 - abs(hue_section % 2 - 1     ))
      UpperCAmelCase_	:						Tuple					   =		value - chroma

      if hue_section >= 0 and hue_section <= 1:
            UpperCAmelCase_	:						List[str]					   =		round(2_5_5 * (chroma + match_value)     )
            UpperCAmelCase_	:						str					   =		round(2_5_5 * (second_largest_component + match_value)     )
            UpperCAmelCase_	:						int					   =		round(2_5_5 * (match_value)     )
      elif hue_section > 1 and hue_section <= 2:
            UpperCAmelCase_	:						Union[str, Any]					   =		round(2_5_5 * (second_largest_component + match_value)     )
            UpperCAmelCase_	:						Union[str, Any]					   =		round(2_5_5 * (chroma + match_value)     )
            UpperCAmelCase_	:						int					   =		round(2_5_5 * (match_value)     )
      elif hue_section > 2 and hue_section <= 3:
            UpperCAmelCase_	:						List[str]					   =		round(2_5_5 * (match_value)     )
            UpperCAmelCase_	:						Any					   =		round(2_5_5 * (chroma + match_value)     )
            UpperCAmelCase_	:						Optional[int]					   =		round(2_5_5 * (second_largest_component + match_value)     )
      elif hue_section > 3 and hue_section <= 4:
            UpperCAmelCase_	:						str					   =		round(2_5_5 * (match_value)     )
            UpperCAmelCase_	:						Dict					   =		round(2_5_5 * (second_largest_component + match_value)     )
            UpperCAmelCase_	:						Optional[Any]					   =		round(2_5_5 * (chroma + match_value)     )
      elif hue_section > 4 and hue_section <= 5:
            UpperCAmelCase_	:						str					   =		round(2_5_5 * (second_largest_component + match_value)     )
            UpperCAmelCase_	:						Any					   =		round(2_5_5 * (match_value)     )
            UpperCAmelCase_	:						str					   =		round(2_5_5 * (chroma + match_value)     )
      else:
            UpperCAmelCase_	:						Optional[int]					   =		round(2_5_5 * (chroma + match_value)     )
            UpperCAmelCase_	:						Dict					   =		round(2_5_5 * (match_value)     )
            UpperCAmelCase_	:						Optional[int]					   =		round(2_5_5 * (second_largest_component + match_value)     )

      return [red, green, blue]







def  _snake_case			(							__snake_case       ,	__snake_case       ,	__snake_case     )  ->  list[float]:






      '''simple docstring'''







      if red < 0 or red > 2_5_5:
            raise Exception("red should be between 0 and 255"     )

      if green < 0 or green > 2_5_5:
            raise Exception("green should be between 0 and 255"     )

      if blue < 0 or blue > 2_5_5:
            raise Exception("blue should be between 0 and 255"     )

      UpperCAmelCase_	:						str					   =		red / 2_5_5
      UpperCAmelCase_	:						Dict					   =		green / 2_5_5
      UpperCAmelCase_	:						int					   =		blue / 2_5_5
      UpperCAmelCase_	:						Any					   =		max(__snake_case       ,	__snake_case       ,	__snake_case     )
      UpperCAmelCase_	:						Union[str, Any]					   =		value - min(__snake_case       ,	__snake_case       ,	__snake_case     )
      UpperCAmelCase_	:						Optional[Any]					   =		0 if value == 0 else chroma / value

      if chroma == 0:
            UpperCAmelCase_	:						Tuple					   =		0.0
      elif value == float_red:
            UpperCAmelCase_	:						List[str]					   =		6_0 * (0 + (float_green - float_blue) / chroma)
      elif value == float_green:
            UpperCAmelCase_	:						Union[str, Any]					   =		6_0 * (2 + (float_blue - float_red) / chroma)
      else:
            UpperCAmelCase_	:						Dict					   =		6_0 * (4 + (float_red - float_green) / chroma)

      UpperCAmelCase_	:						int					   =		(hue + 3_6_0) % 3_6_0

      return [hue, saturation, value]







def  _snake_case			(							__snake_case       ,	__snake_case     )  ->  bool:






      '''simple docstring'''







      UpperCAmelCase_	:						List[str]					   =		abs(hsv_a[0] - hsv_a[0]     ) < 0.2
      UpperCAmelCase_	:						Optional[Any]					   =		abs(hsv_a[1] - hsv_a[1]     ) < 0.002
      UpperCAmelCase_	:						Tuple					   =		abs(hsv_a[2] - hsv_a[2]     ) < 0.002

      return check_hue and check_saturation and check_value
