


from __future__ import annotations

A :       Optional[int]						=   [2, 1, 4, 5, 6, 0, 8, 9, 1, 2, 0, 6, 4, 2, 0, 6, 5, 3, 2, 7]







class      _lowercase					:


       """simple docstring"""




       def __init__(  self				:     Optional[Any]   , __lowerCamelCase				:     str			):


             '''simple docstring'''



             lowerCamelCase__						:							int       =    -1
             lowerCamelCase__						:							int       =    -1
             lowerCamelCase__						:							list[int]       =    [-1] * length
             lowerCamelCase__						:							Node | None       =    None
             lowerCamelCase__						:							Node | None       =    None





       def __repr__(  self				:     List[Any]			):


             '''simple docstring'''



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



def  lowercase_						(						_A     :       Optional[Any]		):

      """simple docstring"""




      lowerCamelCase__						:							str       =    Node(len(SCREAMING_SNAKE_CASE__		)		)
      lowerCamelCase__						:							Tuple       =    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
      lowerCamelCase__						:							Optional[Any]       =    (root.minn + root.maxx) // 2

      lowerCamelCase__						:							list[int]       =    []
      lowerCamelCase__						:							list[int]       =    []

      for index, num in enumerate(SCREAMING_SNAKE_CASE__		):
            if num <= pivot:
                  left_arr.append(SCREAMING_SNAKE_CASE__		)
            else:
                  right_arr.append(SCREAMING_SNAKE_CASE__		)
            lowerCamelCase__						:							Tuple       =    len(SCREAMING_SNAKE_CASE__		)
      lowerCamelCase__						:							List[Any]       =    build_tree(SCREAMING_SNAKE_CASE__		)
      lowerCamelCase__						:							Optional[Any]       =    build_tree(SCREAMING_SNAKE_CASE__		)
      return root

def  lowercase_						(						_A     :       Dict       ,   _A     :       List[Any]       ,   _A     :       Dict		):

      """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
      lowerCamelCase__						:							Union[str, Any]       =    (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  lowercase_						(						_A     :       Dict       ,   _A     :       Dict       ,   _A     :       List[Any]       ,   _A     :       Dict		):

      """simple docstring"""




      if start > end:
            return 0
      lowerCamelCase__						:							str       =    rank_till_index(SCREAMING_SNAKE_CASE__       ,   SCREAMING_SNAKE_CASE__       ,   SCREAMING_SNAKE_CASE__		)
      lowerCamelCase__						:							int       =    rank_till_index(SCREAMING_SNAKE_CASE__       ,   SCREAMING_SNAKE_CASE__       ,   start - 1		)
      return rank_till_end - rank_before_start

def  lowercase_						(						_A     :       int       ,   _A     :       Union[str, Any]       ,   _A     :       List[str]       ,   _A     :       Dict		):

      """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]
      lowerCamelCase__						:							Dict       =    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  lowercase_						(						_A     :       str       ,   _A     :       List[Any]       ,   _A     :       Any       ,   _A     :       str       ,   _A     :       str		):

      """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
      lowerCamelCase__						:							Optional[Any]       =    range_counting(
          node.left       ,   (node.map_left[start - 1] if start else 0)       ,   node.map_left[end] - 1       ,   SCREAMING_SNAKE_CASE__       ,   SCREAMING_SNAKE_CASE__       ,   )
      lowerCamelCase__						:							Tuple       =    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()







import os

from apache_beam.io.filesystems import FileSystems
from apache_beam.pipeline import Pipeline

from .logging import get_logger


lowerCAmelCase					:				Union[str, Any]   	=2 << 20  # 2mb
lowerCAmelCase					:				Union[str, Any]   	=get_logger(__name__)






class 	_a			(      snake_case_  ):






			def 							_snake_case   (    self )	->					Dict:
									lowerCAmelCase	:   Optional[int]					     =					self._options.get_all_options().get("""runner""" )
									return runner in [None, "DirectRunner", "PortableRunner"]







def  _UpperCAmelCase  (				SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__=False  ):


						'''simple docstring'''




						lowerCAmelCase	:   Union[str, Any]					     =					FileSystems
						if fs.exists(SCREAMING_SNAKE_CASE__  ):
												if force_upload:
																		logger.info(F"""Remote path already exist: {remote_file_path}. Overwriting it as force_upload=True."""  )
												else:
																		logger.info(F"""Remote path already exist: {remote_file_path}. Skipping it as force_upload=False."""  )
																		return
						with fs.create(SCREAMING_SNAKE_CASE__  ) as remote_file:
												with open(SCREAMING_SNAKE_CASE__			,"""rb"""  ) as local_file:
																		lowerCAmelCase	:   Any					     =					local_file.read(SCREAMING_SNAKE_CASE__  )
																		while chunk:
																								remote_file.write(SCREAMING_SNAKE_CASE__  )
																								lowerCAmelCase	:   List[str]					     =					local_file.read(SCREAMING_SNAKE_CASE__  )







def  _UpperCAmelCase  (				SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__=False  ):


						'''simple docstring'''




						lowerCAmelCase	:   Optional[int]					     =					FileSystems
						if os.path.exists(SCREAMING_SNAKE_CASE__  ):
												if force_download:
																		logger.info(F"""Local path already exist: {remote_file_path}. Overwriting it as force_upload=True."""  )
												else:
																		logger.info(F"""Local path already exist: {remote_file_path}. Skipping it as force_upload=False."""  )
																		return
						with fs.open(SCREAMING_SNAKE_CASE__  ) as remote_file:
												with open(SCREAMING_SNAKE_CASE__			,"""wb"""  ) as local_file:
																		lowerCAmelCase	:   Optional[int]					     =					remote_file.read(SCREAMING_SNAKE_CASE__  )
																		while chunk:
																								local_file.write(SCREAMING_SNAKE_CASE__  )
																								lowerCAmelCase	:   Union[str, Any]					     =					remote_file.read(SCREAMING_SNAKE_CASE__  )

