

from __future__ import annotations

lowerCAmelCase__						=	[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 , lowercase    )					->  None:
							'''simple docstring'''






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


			def __repr__(      self    )					->  str:
							'''simple docstring'''






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



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							list[int] )     -> Node | None:




				'''simple docstring'''





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

				A__            =     []
				A__            =     []

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



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							Node | None		,    SCREAMING_SNAKE_CASE_:							int		,    SCREAMING_SNAKE_CASE_:							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
				A__            =     (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		,    SCREAMING_SNAKE_CASE_		,    node.map_left[index] - 1 )
				else:
								# go to the right subtree and map index to the right subtree
								return rank_till_index(node.right		,    SCREAMING_SNAKE_CASE_		,    index - node.map_left[index] )



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							Node | None		,    SCREAMING_SNAKE_CASE_:							int		,    SCREAMING_SNAKE_CASE_:							int		,    SCREAMING_SNAKE_CASE_:							int )     -> int:




				'''simple docstring'''





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



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							Node | None		,    SCREAMING_SNAKE_CASE_:							int		,    SCREAMING_SNAKE_CASE_:							int		,    SCREAMING_SNAKE_CASE_:							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]
				A__            =     node.map_left[end] - (
				    node.map_left[start - 1] if start else 0
				)
				if num_elements_in_left_tree > index:
								return quantile(
								    node.left		,    SCREAMING_SNAKE_CASE_		,    (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    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							Node | None		,    SCREAMING_SNAKE_CASE_:							int		,    SCREAMING_SNAKE_CASE_:							int		,    SCREAMING_SNAKE_CASE_:							int		,    SCREAMING_SNAKE_CASE_:							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
				A__            =     range_counting(
				    node.left		,    (node.map_left[start - 1] if start else 0)		,    node.map_left[end] - 1		,    SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_		,    )
				A__            =     range_counting(
				    node.right		,    start - (node.map_left[start - 1] if start else 0)		,    end - node.map_left[end]		,    SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_		,    )
				return left + right


if __name__ == "__main__":
	import doctest

	doctest.testmod()




from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowerCAmelCase__						=	{"""configuration_nat""": ["""NAT_PRETRAINED_CONFIG_ARCHIVE_MAP""", """NatConfig"""]}


try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	lowerCAmelCase__						=	[
	    """NAT_PRETRAINED_MODEL_ARCHIVE_LIST""",
	    """NatForImageClassification""",
	    """NatModel""",
	    """NatPreTrainedModel""",
	    """NatBackbone""",
	]

if TYPE_CHECKING:
	from .configuration_nat import NAT_PRETRAINED_CONFIG_ARCHIVE_MAP, NatConfig

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_nat import (
		    NAT_PRETRAINED_MODEL_ARCHIVE_LIST,
		    NatBackbone,
		    NatForImageClassification,
		    NatModel,
		    NatPreTrainedModel,
		)

else:
	import sys

	lowerCAmelCase__						=	_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)

