


class    _a				:




	def __init__(   self		:						Optional[Any]						,   _SCREAMING_SNAKE_CASE		:						Any						)->			Optional[Any]:
			lowerCAmelCase__  :     Optional[Any]       	=   val
			# Number of nodes in left subtree
			lowerCAmelCase__  :     int       	=   0
			lowerCAmelCase__  :     int       	=   None
			lowerCAmelCase__  :     Optional[int]       	=   None
			lowerCAmelCase__  :     Dict       	=   None




	def 				UpperCAmelCase__(   self		:						Dict						,   _SCREAMING_SNAKE_CASE		:						Dict						)->			List[str]:
			assert self.left_tree_size == other.left_tree_size, "Unequal Sizes of Blocks"

			if self.val < other.val:
					lowerCAmelCase__  :     int       	=   self.right
					lowerCAmelCase__  :     Any       	=   None
					if self.right:
							lowerCAmelCase__  :     str       	=   other
					lowerCAmelCase__  :     List[Any]       	=   other
					lowerCAmelCase__  :     str       	=   self.left_tree_size * 2 + 1
					return self
			else:
					lowerCAmelCase__  :     Any       	=   other.right
					lowerCAmelCase__  :     List[str]       	=   None
					if other.right:
							lowerCAmelCase__  :     Tuple       	=   self
					lowerCAmelCase__  :     Optional[Any]       	=   self
					lowerCAmelCase__  :     Optional[int]       	=   other.left_tree_size * 2 + 1
					return other





class    _a				:




	def __init__(   self		:						Tuple						,   _SCREAMING_SNAKE_CASE		:						List[str]=None						,   _SCREAMING_SNAKE_CASE		:						List[str]=None						,   _SCREAMING_SNAKE_CASE		:						Dict=0						)->			List[Any]:
			lowerCAmelCase__  :     str       	=   heap_size
			lowerCAmelCase__  :     List[Any]       	=   bottom_root
			lowerCAmelCase__  :     Tuple       	=   min_node




	def 				UpperCAmelCase__(   self		:						Optional[Any]						,   _SCREAMING_SNAKE_CASE		:						str						)->			str:

			# Empty heaps corner cases
			if other.size == 0:
					return None
			if self.size == 0:
					lowerCAmelCase__  :     Dict       	=   other.size
					lowerCAmelCase__  :     Any       	=   other.bottom_root
					lowerCAmelCase__  :     List[Any]       	=   other.min_node
					return None
			# Update size
			lowerCAmelCase__  :     Optional[Any]       	=   self.size + other.size

			# Update min.node
			if self.min_node.val > other.min_node.val:
					lowerCAmelCase__  :     Any       	=   other.min_node
			# Merge

			# Order roots by left_subtree_size
			lowerCAmelCase__  :     Optional[int]       	=   []
			lowerCAmelCase__	,      lowerCAmelCase__  :     Tuple       	=   self.bottom_root, other.bottom_root
			while i or j:
					if i and ((not j) or i.left_tree_size < j.left_tree_size):
							combined_roots_list.append((i, True)						)
							lowerCAmelCase__  :     Optional[int]       	=   i.parent
					else:
							combined_roots_list.append((j, False)						)
							lowerCAmelCase__  :     List[Any]       	=   j.parent
        # Insert links between them
			for i in range(len(_SCREAMING_SNAKE_CASE						) - 1						):
					if combined_roots_list[i][1] != combined_roots_list[i + 1][1]:
							lowerCAmelCase__  :     str       	=   combined_roots_list[i + 1][0]
							lowerCAmelCase__  :     Dict       	=   combined_roots_list[i][0]
        # Consecutively merge roots with same left_tree_size
			lowerCAmelCase__  :     List[str]       	=   combined_roots_list[0][0]
			while i.parent:
					if (
					    (i.left_tree_size == i.parent.left_tree_size) and (not i.parent.parent)
					) or (
					    i.left_tree_size == i.parent.left_tree_size
					    and i.left_tree_size != i.parent.parent.left_tree_size
					):
							# Neighbouring Nodes
							lowerCAmelCase__  :     Optional[Any]       	=   i.left
							lowerCAmelCase__  :     Optional[int]       	=   i.parent.parent

							# Merging trees
							lowerCAmelCase__  :     Optional[int]       	=   i.merge_trees(i.parent						)

							# Updating links
							lowerCAmelCase__  :     int       	=   previous_node
							lowerCAmelCase__  :     Dict       	=   next_node
							if previous_node:
									lowerCAmelCase__  :     Optional[Any]       	=   i
							if next_node:
									lowerCAmelCase__  :     Dict       	=   i
					else:
							lowerCAmelCase__  :     Any       	=   i.parent
        # Updating self.bottom_root
			while i.left:
					lowerCAmelCase__  :     int       	=   i.left
			lowerCAmelCase__  :     str       	=   i

			# Update other
			lowerCAmelCase__  :     Optional[int]       	=   self.size
			lowerCAmelCase__  :     Tuple       	=   self.bottom_root
			lowerCAmelCase__  :     List[str]       	=   self.min_node

			# Return the merged heap
			return self




	def 				UpperCAmelCase__(   self		:						Any						,   _SCREAMING_SNAKE_CASE		:						Union[str, Any]						)->			str:
			if self.size == 0:
					lowerCAmelCase__  :     Optional[int]       	=   Node(_SCREAMING_SNAKE_CASE						)
					lowerCAmelCase__  :     Optional[Any]       	=   1
					lowerCAmelCase__  :     Any       	=   self.bottom_root
			else:
					# Create new node
					lowerCAmelCase__  :     List[Any]       	=   Node(_SCREAMING_SNAKE_CASE						)

					# Update size
					self.size += 1

					# update min_node
					if val < self.min_node.val:
							lowerCAmelCase__  :     List[Any]       	=   new_node
					# Put new_node as a bottom_root in heap
					lowerCAmelCase__  :     Union[str, Any]       	=   new_node
					lowerCAmelCase__  :     str       	=   self.bottom_root
					lowerCAmelCase__  :     str       	=   new_node

					# Consecutively merge roots with same left_tree_size
					while (
					    self.bottom_root.parent
					    and self.bottom_root.left_tree_size
					    == self.bottom_root.parent.left_tree_size
					):
							# Next node
							lowerCAmelCase__  :     str       	=   self.bottom_root.parent.parent

							# Merge
							lowerCAmelCase__  :     Optional[Any]       	=   self.bottom_root.merge_trees(self.bottom_root.parent						)

							# Update Links
							lowerCAmelCase__  :     int       	=   next_node
							lowerCAmelCase__  :     Optional[int]       	=   None
							if next_node:
									lowerCAmelCase__  :     Tuple       	=   self.bottom_root




	def 				UpperCAmelCase__(   self		:						int						)->			Union[str, Any]:
			return self.min_node.val




	def 				UpperCAmelCase__(   self		:						Tuple						)->			Optional[Any]:
			return self.size == 0




	def 				UpperCAmelCase__(   self		:						Dict						)->			str:
			lowerCAmelCase__  :     Optional[int]       	=   self.min_node.val

			# Last element in heap corner case
			if self.size == 1:
					# Update size
					lowerCAmelCase__  :     int       	=   0

					# Update bottom root
					lowerCAmelCase__  :     Union[str, Any]       	=   None

					# Update min_node
					lowerCAmelCase__  :     Optional[Any]       	=   None

					return min_value
			# No right subtree corner case
			# The structure of the tree implies that this should be the bottom root
			# and there is at least one other root
			if self.min_node.right is None:
					# Update size
					self.size -= 1

					# Update bottom root
					lowerCAmelCase__  :     Optional[int]       	=   self.bottom_root.parent
					lowerCAmelCase__  :     Optional[int]       	=   None

					# Update min_node
					lowerCAmelCase__  :     Optional[Any]       	=   self.bottom_root
					lowerCAmelCase__  :     str       	=   self.bottom_root.parent
					while i:
							if i.val < self.min_node.val:
									lowerCAmelCase__  :     Optional[Any]       	=   i
							lowerCAmelCase__  :     int       	=   i.parent
					return min_value
			# General case
			# Find the BinomialHeap of the right subtree of min_node
			lowerCAmelCase__  :     Tuple       	=   self.min_node.right
			lowerCAmelCase__  :     Any       	=   None
			lowerCAmelCase__  :     Optional[int]       	=   bottom_of_new
			lowerCAmelCase__  :     List[Any]       	=   1

			# Size, min_node and bottom_root
			while bottom_of_new.left:
					lowerCAmelCase__  :     Optional[Any]       	=   size_of_new * 2 + 1
					lowerCAmelCase__  :     int       	=   bottom_of_new.left
					if bottom_of_new.val < min_of_new.val:
							lowerCAmelCase__  :     Dict       	=   bottom_of_new
        # Corner case of single root on top left path
			if (not self.min_node.left) and (not self.min_node.parent):
					lowerCAmelCase__  :     int       	=   size_of_new
					lowerCAmelCase__  :     Union[str, Any]       	=   bottom_of_new
					lowerCAmelCase__  :     Any       	=   min_of_new
					# print("Single root, multiple nodes case")
					return min_value
			# Remaining cases
			# Construct heap of right subtree
			lowerCAmelCase__  :     List[str]       	=   BinomialHeap(
			    bottom_root=_SCREAMING_SNAKE_CASE						,   min_node=_SCREAMING_SNAKE_CASE						,   heap_size=_SCREAMING_SNAKE_CASE						)

			# Update size
			lowerCAmelCase__  :     Optional[int]       	=   self.size - 1 - size_of_new

			# Neighbour nodes
			lowerCAmelCase__  :     Union[str, Any]       	=   self.min_node.left
			lowerCAmelCase__  :     List[Any]       	=   self.min_node.parent

			# Initialize new bottom_root and min_node
			lowerCAmelCase__  :     List[Any]       	=   previous_node or next_node
			lowerCAmelCase__  :     List[str]       	=   next_node

			# Update links of previous_node and search below for new min_node and
			# bottom_root
			if previous_node:
					lowerCAmelCase__  :     Optional[int]       	=   next_node

					# Update bottom_root and search for min_node below
					lowerCAmelCase__  :     Union[str, Any]       	=   previous_node
					lowerCAmelCase__  :     List[str]       	=   previous_node
					while self.bottom_root.left:
							lowerCAmelCase__  :     List[Any]       	=   self.bottom_root.left
							if self.bottom_root.val < self.min_node.val:
									lowerCAmelCase__  :     Union[str, Any]       	=   self.bottom_root
			if next_node:
					lowerCAmelCase__  :     Optional[Any]       	=   previous_node

					# Search for new min_node above min_node
					lowerCAmelCase__  :     str       	=   next_node
					while i:
							if i.val < self.min_node.val:
									lowerCAmelCase__  :     Optional[int]       	=   i
							lowerCAmelCase__  :     Optional[Any]       	=   i.parent
        # Merge heaps
			self.merge_heaps(_SCREAMING_SNAKE_CASE						)

			return min_value




	def 				UpperCAmelCase__(   self		:						Optional[Any]						)->			Optional[Any]:
			lowerCAmelCase__  :     Optional[Any]       	=   self.bottom_root
			while top_root.parent:
					lowerCAmelCase__  :     Optional[Any]       	=   top_root.parent
			# preorder
			lowerCAmelCase__  :     str       	=   []
			self.__traversal(_SCREAMING_SNAKE_CASE						,   _SCREAMING_SNAKE_CASE						)
			return heap_pre_order




	def 				UpperCAmelCase__(   self		:						Union[str, Any]						,   _SCREAMING_SNAKE_CASE		:						Any						,   _SCREAMING_SNAKE_CASE		:						List[str]						,   _SCREAMING_SNAKE_CASE		:						Tuple=0						)->			Any:
			if curr_node:
					preorder.append((curr_node.val, level)						)
					self.__traversal(curr_node.left						,   _SCREAMING_SNAKE_CASE						,   level + 1						)
					self.__traversal(curr_node.right						,   _SCREAMING_SNAKE_CASE						,   level + 1						)
			else:
					preorder.append(('''#''', level)						)




	def __str__(   self		:						Any						)->			Optional[int]:
			if self.is_empty():
					return ""
			lowerCAmelCase__  :     str       	=   self.pre_order()

			return "\n".join(('''-''' * level + str(_SCREAMING_SNAKE_CASE						)) for value, level in preorder_heap						)


# Unit Tests
if __name__ == "__main__":
		import doctest

		doctest.testmod()








import warnings

from ...utils import logging
from .image_processing_maskformer import MaskFormerImageProcessor


lowerCamelCase		=						logging.get_logger(__name__)





class    _a				(							_lowercase):




	def __init__(   self		:						Any						,   *_SCREAMING_SNAKE_CASE		:						int						,   **_SCREAMING_SNAKE_CASE		:						Dict						)->			None:
			warnings.warn(
			    '''The class MaskFormerFeatureExtractor is deprecated and will be removed in version 5 of Transformers.'''
			    ''' Please use MaskFormerImageProcessor instead.'''						,   _SCREAMING_SNAKE_CASE						,   )
			super().__init__(*_SCREAMING_SNAKE_CASE						,   **_SCREAMING_SNAKE_CASE						)




