




'''simple docstring'''






import warnings

from .generation import FlaxGenerationMixin

class 	SCREAMING_SNAKE_CASE_		(							_A					):
 warnings.warn(
     "Importing `FlaxGenerationMixin` from `src/transformers/generation_flax_utils.py` is deprecated and will "
     "be removed in Transformers v5. Import as `from transformers import FlaxGenerationMixin` instead."		,  _A		,  )









class 						lowerCamelCase_     :






						'''simple docstring'''







						def __init__(						self   :      Optional[int]						,						__lowerCamelCase   :      List[Any]			)   ->					Tuple:
									A				:       Dict														=    val
									# Number of nodes in left subtree
									A				:       List[Any]														=    0
									A				:       List[str]														=    None
									A				:       Union[str, Any]														=    None
									A				:       Dict														=    None







						def       SCREAMING_SNAKE_CASE__		(						self   :      Union[str, Any]						,						__lowerCamelCase   :      Union[str, Any]			)   ->					Optional[Any]:
									assert self.left_tree_size == other.left_tree_size, "Unequal Sizes of Blocks"

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







class 						lowerCamelCase_     :






						'''simple docstring'''







						def __init__(						self   :      Optional[int]						,						__lowerCamelCase   :      Optional[Any]=None						,						__lowerCamelCase   :      Union[str, Any]=None						,						__lowerCamelCase   :      Union[str, Any]=0			)   ->					Optional[Any]:
									A				:       List[str]														=    heap_size
									A				:       Optional[int]														=    bottom_root
									A				:       str														=    min_node







						def       SCREAMING_SNAKE_CASE__		(						self   :      Optional[int]						,						__lowerCamelCase   :      Optional[int]			)   ->					Optional[int]:

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

									# Update min.node
									if self.min_node.val > other.min_node.val:
												A				:       Tuple														=    other.min_node
									# Merge

									# Order roots by left_subtree_size
									A				:       Tuple														=    []
									A							,			A				:       List[str]														=    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)			)
															A				:       List[Any]														=    i.parent
												else:
															combined_roots_list.append((j, False)			)
															A				:       Optional[Any]														=    j.parent
        # Insert links between them
									for i in range(len(__lowerCamelCase			) - 1			):
												if combined_roots_list[i][1] != combined_roots_list[i + 1][1]:
															A				:       str														=    combined_roots_list[i + 1][0]
															A				:       Any														=    combined_roots_list[i][0]
        # Consecutively merge roots with same left_tree_size
									A				:       Dict														=    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
															A				:       Union[str, Any]														=    i.left
															A				:       Tuple														=    i.parent.parent

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

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

									# Update other
									A				:       Optional[Any]														=    self.size
									A				:       Any														=    self.bottom_root
									A				:       Optional[Any]														=    self.min_node

									# Return the merged heap
									return self







						def       SCREAMING_SNAKE_CASE__		(						self   :      Union[str, Any]						,						__lowerCamelCase   :      int			)   ->					Optional[Any]:
									if self.size == 0:
												A				:       Dict														=    Node(__lowerCamelCase			)
												A				:       List[Any]														=    1
												A				:       Optional[Any]														=    self.bottom_root
									else:
												# Create new node
												A				:       Tuple														=    Node(__lowerCamelCase			)

												# Update size
												self.size += 1

												# update min_node
												if val < self.min_node.val:
															A				:       List[Any]														=    new_node
												# Put new_node as a bottom_root in heap
												A				:       int														=    new_node
												A				:       Tuple														=    self.bottom_root
												A				:       Any														=    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
															A				:       List[Any]														=    self.bottom_root.parent.parent

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

															# Update Links
															A				:       List[Any]														=    next_node
															A				:       List[str]														=    None
															if next_node:
																		A				:       List[Any]														=    self.bottom_root







						def       SCREAMING_SNAKE_CASE__		(						self   :      Tuple			)   ->					int:
									return self.min_node.val







						def       SCREAMING_SNAKE_CASE__		(						self   :      List[str]			)   ->					Tuple:
									return self.size == 0







						def       SCREAMING_SNAKE_CASE__		(						self   :      Optional[int]			)   ->					Optional[int]:
									A				:       List[str]														=    self.min_node.val

									# Last element in heap corner case
									if self.size == 1:
												# Update size
												A				:       Union[str, Any]														=    0

												# Update bottom root
												A				:       int														=    None

												# Update min_node
												A				:       Optional[int]														=    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
												A				:       List[str]														=    self.bottom_root.parent
												A				:       Dict														=    None

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

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

									# Update size
									A				:       Tuple														=    self.size - 1 - size_of_new

									# Neighbour nodes
									A				:       List[str]														=    self.min_node.left
									A				:       List[str]														=    self.min_node.parent

									# Initialize new bottom_root and min_node
									A				:       List[Any]														=    previous_node or next_node
									A				:       int														=    next_node

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

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

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

									return min_value







						def       SCREAMING_SNAKE_CASE__		(						self   :      Union[str, Any]			)   ->					Optional[Any]:
									A				:       Tuple														=    self.bottom_root
									while top_root.parent:
												A				:       Optional[int]														=    top_root.parent
									# preorder
									A				:       Union[str, Any]														=    []
									self.__traversal(__lowerCamelCase						,						__lowerCamelCase			)
									return heap_pre_order







						def       SCREAMING_SNAKE_CASE__		(						self   :      Optional[int]						,						__lowerCamelCase   :      List[Any]						,						__lowerCamelCase   :      Optional[int]						,						__lowerCamelCase   :      Any=0			)   ->					List[Any]:
									if curr_node:
												preorder.append((curr_node.val, level)			)
												self.__traversal(curr_node.left						,						__lowerCamelCase						,						level + 1			)
												self.__traversal(curr_node.right						,						__lowerCamelCase						,						level + 1			)
									else:
												preorder.append(("#", level)			)







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

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


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

							doctest.testmod()