






from ..utils import DummyObject, requires_backends





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )





class __lowerCamelCase			(				metaclass=snake_case__):





	"""simple docstring"""






	UpperCamelCase__								=				["vision"]

	def __init__(							self	,   *UpperCAmelCase	,   **UpperCAmelCase   ):
							"""simple docstring"""







							requires_backends(self	,   ['vision']   )








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 __lowerCamelCase			:





	"""simple docstring"""






	def __init__(							self	,   UpperCAmelCase   ):
							"""simple docstring"""







							_UpperCAmelCase     =      -1
							_UpperCAmelCase     =      -1
							_UpperCAmelCase     =      [-1] * length
							_UpperCAmelCase     =      None
							_UpperCAmelCase     =      None

	def __repr__(							self   ):
							"""simple docstring"""







							return F"""Node(min_value={self.minn} max_value={self.maxx})"""



def __A   (				__lowerCAmelCase     )->  Node | None:





						"""simple docstring"""



						_UpperCAmelCase     =      Node(len(__lowerCAmelCase     )     )
						_UpperCAmelCase ,			_UpperCAmelCase     =      min(__lowerCAmelCase     ), max(__lowerCAmelCase     )
						# 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(__lowerCAmelCase     ):
												if num <= pivot:
																		left_arr.append(__lowerCAmelCase     )
												else:
																		right_arr.append(__lowerCAmelCase     )
												_UpperCAmelCase     =      len(__lowerCAmelCase     )
						_UpperCAmelCase     =      build_tree(__lowerCAmelCase     )
						_UpperCAmelCase     =      build_tree(__lowerCAmelCase     )
						return root


def __A   (				__lowerCAmelCase			,		__lowerCAmelCase			,		__lowerCAmelCase     )->  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			,		__lowerCAmelCase			,		node.map_left[index] - 1     )
						else:
												# go to the right subtree and map index to the right subtree
												return rank_till_index(node.right			,		__lowerCAmelCase			,		index - node.map_left[index]     )


def __A   (				__lowerCAmelCase			,		__lowerCAmelCase			,		__lowerCAmelCase			,		__lowerCAmelCase     )->  int:





						"""simple docstring"""



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


def __A   (				__lowerCAmelCase			,		__lowerCAmelCase			,		__lowerCAmelCase			,		__lowerCAmelCase     )->  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			,		__lowerCAmelCase			,		(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 __A   (				__lowerCAmelCase			,		__lowerCAmelCase			,		__lowerCAmelCase			,		__lowerCAmelCase			,		__lowerCAmelCase     )->  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			,		__lowerCAmelCase			,		__lowerCAmelCase			,		)
						_UpperCAmelCase     =      range_counting(
						    node.right			,		start - (node.map_left[start - 1] if start else 0)			,		end - node.map_left[end]			,		__lowerCAmelCase			,		__lowerCAmelCase			,		)
						return left + right


if __name__ == "__main__":
		import doctest

		doctest.testmod()
