




from __future__ import annotations

UpperCAmelCase__    :							str       		=     [2, 1, 4, 5, 6, 0, 8, 9, 1, 2, 0, 6, 4, 2, 0, 6, 5, 3, 2, 7]

class   UpperCAmelCase    :






   def __init__(						self :							Tuple    ,       UpperCamelCase_ :							int  )->      None:
     _lowercase:			int      =     -1
     _lowercase:			int      =     -1
     _lowercase:			list[int]      =     [-1] * length
     _lowercase:			Node | None      =     None
     _lowercase:			Node | None      =     None






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


def 		_lowerCamelCase					(       UpperCamelCase				)      ->		Node | None:





  """simple docstring"""





  _lowercase:			int      =     Node(len(UpperCamelCase				)				)
  _lowercase  ,       _lowercase:			Optional[int]      =     min(UpperCamelCase				), max(UpperCamelCase				)
  # Leaf node case where the node contains only one unique value
  if root.minn == root.maxx:
    return root
  _lowercase:			Optional[Any]      =     (root.minn + root.maxx) // 2

  _lowercase:			list[int]      =     []
  _lowercase:			list[int]      =     []

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


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


def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase				)      ->		int:





  """simple docstring"""





  if start > end:
    return 0
  _lowercase:			Dict      =     rank_till_index(UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase				)
  _lowercase:			Dict      =     rank_till_index(UpperCamelCase       ,  UpperCamelCase       ,  start - 1				)
  return rank_till_end - rank_before_start


def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase				)      ->		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]
  _lowercase:			Any      =     node.map_left[end] - (
      node.map_left[start - 1] if start else 0
  )
  if num_elements_in_left_tree > index:
    return quantile(
        node.left       ,  UpperCamelCase       ,  (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					(       UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase				)      ->		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
  _lowercase:			Optional[Any]      =     range_counting(
      node.left       ,  (node.map_left[start - 1] if start else 0)       ,  node.map_left[end] - 1       ,  UpperCamelCase       ,  UpperCamelCase       ,  )
  _lowercase:			List[str]      =     range_counting(
      node.right       ,  start - (node.map_left[start - 1] if start else 0)       ,  end - node.map_left[end]       ,  UpperCamelCase       ,  UpperCamelCase       ,  )
  return left + right


if __name__ == "__main__":
   import doctest

   doctest.testmod()






import random
import sys

UpperCAmelCase__    :							str       		=     'ABCDEFGHIJKLMNOPQRSTUVWXYZ'


def 		_lowerCamelCase					(       )      ->		None:





  """simple docstring"""





  _lowercase:			Any      =     input('Enter message: '				)
  _lowercase:			List[str]      =     'LFWOAYUISVKMNXPBDCRJTQEGHZ'
  _lowercase:			Tuple      =     input('Encrypt/Decrypt [e/d]: '				)

  check_valid_key(UpperCamelCase				)

  if resp.lower().startswith('e'				):
    _lowercase:			int      =     'encrypt'
    _lowercase:			Optional[int]      =     encrypt_message(UpperCamelCase       ,  UpperCamelCase				)
  elif resp.lower().startswith('d'				):
    _lowercase:			str      =     'decrypt'
    _lowercase:			Dict      =     decrypt_message(UpperCamelCase       ,  UpperCamelCase				)

  print(F'\n{mode.title()}ion: \n{translated}'				)


def 		_lowerCamelCase					(       UpperCamelCase				)      ->		None:





  """simple docstring"""





  _lowercase:			List[Any]      =     list(UpperCamelCase				)
  _lowercase:			Union[str, Any]      =     list(UpperCamelCase				)
  key_list.sort()
  letters_list.sort()

  if key_list != letters_list:
    sys.exit('Error in the key or symbol set.'				)


def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase				)      ->		str:





  """simple docstring"""





  return translate_message(UpperCamelCase       ,  UpperCamelCase       ,  'encrypt'				)


def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase				)      ->		str:





  """simple docstring"""





  return translate_message(UpperCamelCase       ,  UpperCamelCase       ,  'decrypt'				)


def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase				)      ->		str:





  """simple docstring"""





  _lowercase:			Optional[int]      =     ''
  _lowercase:			Any      =     LETTERS
  _lowercase:			Tuple      =     key

  if mode == "decrypt":
    _lowercase  ,       _lowercase:			Tuple      =     chars_b, chars_a

  for symbol in message:
    if symbol.upper() in chars_a:
      _lowercase:			int      =     chars_a.find(symbol.upper()				)
      if symbol.isupper():
        translated += chars_b[sym_index].upper()
      else:
        translated += chars_b[sym_index].lower()
    else:
      translated += symbol

  return translated


def 		_lowerCamelCase					(       )      ->		str:





  """simple docstring"""





  _lowercase:			Union[str, Any]      =     list(UpperCamelCase				)
  random.shuffle(UpperCamelCase				)
  return "".join(UpperCamelCase				)


if __name__ == "__main__":
   main()
