






from __future__ import annotations

from enum import Enum, unique
from typing import TypeVar

# Create a generic variable that can be 'Enum', or any subclass.
__A  							=  TypeVar("T", bound="Enum")



@unique
class 							_A (    UpperCamelCase							):
    """simple docstring"""

    lowerCamelCase  :       str   =   80
    lowerCamelCase  :       str   =   70
    lowerCamelCase  :       str   =   60
    lowerCamelCase  :       List[Any]   =   50
    lowerCamelCase  :       Optional[Any]   =   40
    lowerCamelCase  :       Dict   =   30
    lowerCamelCase  :       Any   =   20
    lowerCamelCase  :       Any   =   10




@unique
class 							_A (    UpperCamelCase							):
    """simple docstring"""

    lowerCamelCase  :       Optional[Any]   =   24
    lowerCamelCase  :       int   =   21
    lowerCamelCase  :       Any   =   18
    lowerCamelCase  :       List[str]   =   15
    lowerCamelCase  :       List[str]   =   12
    lowerCamelCase  :       Optional[int]   =   9
    lowerCamelCase  :       Optional[Any]   =   6
    lowerCamelCase  :       Union[str, Any]   =   3
    lowerCamelCase  :       str   =   2
    lowerCamelCase  :       Union[str, Any]   =   1
    lowerCamelCase  :       Optional[int]   =   -1
    lowerCamelCase  :       Dict   =   -2
    lowerCamelCase  :       Optional[int]   =   -3
    lowerCamelCase  :       Dict   =   -6
    lowerCamelCase  :       int   =   -9
    lowerCamelCase  :       str   =   -12
    lowerCamelCase  :       str   =   -15
    lowerCamelCase  :       Optional[Any]   =   -18
    lowerCamelCase  :       Tuple   =   -21
    lowerCamelCase  :       Dict   =   -24



    @classmethod
    def _a       (							cls			:    type[T]			)			->       dict:
           return {unit.name: unit.value for unit in cls if unit.value > 0}



    @classmethod
    def _a       (							cls			:    type[T]			)			->       dict:
           return {unit.name: unit.value for unit in cls if unit.value < 0}







def 			lowercase__  (				A_:	float		)  ->							str:







       """simple docstring"""






       __UpperCAmelCase    							=SIUnit.get_positive() if value > 0 else SIUnit.get_negative()
       for name_prefix, value_prefix in prefixes.items():
              __UpperCAmelCase    							=value / (10**value_prefix)
              if numerical_part > 1:
                     return F'''{numerical_part!s} {name_prefix}'''
       return str(A_		)







def 			lowercase__  (				A_:	float		)  ->							str:







       """simple docstring"""






       for prefix in BinaryUnit:
              __UpperCAmelCase    							=value / (2**prefix.value)
              if numerical_part > 1:
                     return F'''{numerical_part!s} {prefix.name}'''
       return str(A_		)


if __name__ == "__main__":
   import doctest

   doctest.testmod()












from __future__ import annotations

__A  							=  [2, 1, 4, 5, 6, 0, 8, 9, 1, 2, 0, 6, 4, 2, 0, 6, 5, 3, 2, 7]



class 							_A :
    """simple docstring"""

    def __init__(							self			:    List[str]   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
           __UpperCAmelCase    							=-1
           __UpperCAmelCase    							=-1
           __UpperCAmelCase    							=[-1] * length
           __UpperCAmelCase    							=None
           __UpperCAmelCase    							=None



    def __repr__(							self			:    Optional[int]			)			->       str:
           return f'''Node(min_value={self.minn} max_value={self.maxx})'''







def 			lowercase__  (				A_:	list[int]		)  ->							Node | None:







       """simple docstring"""






       __UpperCAmelCase    							=Node(len(A_		)		)
       __UpperCAmelCase							,   __UpperCAmelCase    							=min(A_		), max(A_		)
       # Leaf node case where the node contains only one unique value
       if root.minn == root.maxx:
              return root
       __UpperCAmelCase    							=(root.minn + root.maxx) // 2

       __UpperCAmelCase    							=[]
       __UpperCAmelCase    							=[]

       for index, num in enumerate(A_		):
              if num <= pivot:
                     left_arr.append(A_		)
              else:
                     right_arr.append(A_		)
              __UpperCAmelCase    							=len(A_		)
       __UpperCAmelCase    							=build_tree(A_		)
       __UpperCAmelCase    							=build_tree(A_		)
       return root







def 			lowercase__  (				A_:	Node | None     ,			A_:	int     ,			A_:	int		)  ->							int:







       """simple docstring"""






       if index < 0 or node is None:
              return 0
       # Leaf node cases
       if node.minn == node.maxx:
              return index + 1 if node.minn == num else 0
       __UpperCAmelCase    							=(node.minn + node.maxx) // 2
       if num <= pivot:
              # go the left subtree and map index to the left subtree
              return rank_till_index(node.left     ,			A_     ,			node.map_left[index] - 1		)
       else:
              # go to the right subtree and map index to the right subtree
              return rank_till_index(node.right     ,			A_     ,			index - node.map_left[index]		)







def 			lowercase__  (				A_:	Node | None     ,			A_:	int     ,			A_:	int     ,			A_:	int		)  ->							int:







       """simple docstring"""






       if start > end:
              return 0
       __UpperCAmelCase    							=rank_till_index(A_     ,			A_     ,			A_		)
       __UpperCAmelCase    							=rank_till_index(A_     ,			A_     ,			start - 1		)
       return rank_till_end - rank_before_start







def 			lowercase__  (				A_:	Node | None     ,			A_:	int     ,			A_:	int     ,			A_:	int		)  ->							int:







       """simple docstring"""






       if index > (end - start) or start > end or node is None:
              return -1
       # Leaf node case
       if node.minn == node.maxx:
              return node.minn
       # Number of elements in the left subtree in interval [start, end]
       __UpperCAmelCase    							=node.map_left[end] - (
           node.map_left[start - 1] if start else 0
       )
       if num_elements_in_left_tree > index:
              return quantile(
                  node.left     ,			A_     ,			(node.map_left[start - 1] if start else 0)     ,			node.map_left[end] - 1     ,			)
       else:
              return quantile(
                  node.right     ,			index - num_elements_in_left_tree     ,			start - (node.map_left[start - 1] if start else 0)     ,			end - node.map_left[end]     ,			)







def 			lowercase__  (				A_:	Node | None     ,			A_:	int     ,			A_:	int     ,			A_:	int     ,			A_:	int		)  ->							int:







       """simple docstring"""






       if (
           start > end
           or node is None
           or start_num > end_num
           or node.minn > end_num
           or node.maxx < start_num
       ):
              return 0
       if start_num <= node.minn and node.maxx <= end_num:
              return end - start + 1
       __UpperCAmelCase    							=range_counting(
           node.left     ,			(node.map_left[start - 1] if start else 0)     ,			node.map_left[end] - 1     ,			A_     ,			A_     ,			)
       __UpperCAmelCase    							=range_counting(
           node.right     ,			start - (node.map_left[start - 1] if start else 0)     ,			end - node.map_left[end]     ,			A_     ,			A_     ,			)
       return left + right


if __name__ == "__main__":
   import doctest

   doctest.testmod()




