






from __future__ import annotations

UpperCAmelCase_					:		Tuple           = [2, 1, 4, 5, 6, 0, 8, 9, 1, 2, 0, 6, 4, 2, 0, 6, 5, 3, 2, 7]

class        _SCREAMING_SNAKE_CASE			:





	def __init__(						self							:   List[Any]					,    __lowerCamelCase							:   int      ):
		UpperCamelCase	:int		=      -1
		UpperCamelCase	:int		=      -1
		UpperCamelCase	:list[int]		=      [-1] * length
		UpperCamelCase	:Node | None		=      None
		UpperCamelCase	:Node | None		=      None





	def __repr__(						self							:   Tuple      ):
		return F"""Node(min_value={self.minn} max_value={self.maxx})"""

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






	"""simple docstring"""



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

	UpperCamelCase	:list[int]		=      []
	UpperCamelCase	:list[int]		=      []

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

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

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






	"""simple docstring"""



	if start > end:
		return 0
	UpperCamelCase	:Dict		=      rank_till_index(__magic_name__      ,     __magic_name__      ,     __magic_name__   )
	UpperCamelCase	:List[str]		=      rank_till_index(__magic_name__      ,     __magic_name__      ,     start - 1   )
	return rank_till_end - rank_before_start

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


if __name__ == "__main__":
	import doctest

	doctest.testmod()








class        _SCREAMING_SNAKE_CASE			:





	def __init__(						self							:   Union[str, Any]      ):
		UpperCamelCase	:Union[str, Any]		=      [0, 1]





	def 		_A					(						self							:   str					,    __lowerCamelCase							:   int      ):
		if (difference := index - (len(self.sequence      ) - 2)) >= 1:
			for _ in range(__lowerCamelCase      ):
				self.sequence.append(self.sequence[-1] + self.sequence[-2]      )
		return self.sequence[:index]

def   SCREAMING_SNAKE_CASE_				(				)						->     None:






	"""simple docstring"""



	print(
	    """Fibonacci Series Using Dynamic Programming\n"""      ,     """Enter the index of the Fibonacci number you want to calculate """      ,     """in the prompt below. (To exit enter exit or Ctrl-C)\n"""      ,     sep=""""""      ,     )
	UpperCamelCase	:Any		=      Fibonacci()

	while True:
		UpperCamelCase	:str		=      input(""">> """   )
		if prompt in {"exit", "quit"}:
			break

		try:
			UpperCamelCase	:int		=      int(__magic_name__   )
		except ValueError:
			print("""Enter a number or 'exit'"""   )
			continue

		print(fibonacci.get(__magic_name__   )   )


if __name__ == "__main__":
	main()
