


class       __lowerCAmelCase       :






  """simple docstring"""





  def __init__(       self    :    Union[str, Any]      ,			_lowerCAmelCase    :    Optional[int]					)				->	List[str]:




     """simple docstring"""
     snake_case_         =   val
     # Number of nodes in left subtree
     snake_case_         =   0
     snake_case_         =   None
     snake_case_         =   None
     snake_case_         =   None



  def    lowerCAmelCase__					(       self    :    str      ,			_lowerCAmelCase    :    Optional[Any]					)				->	Tuple:




     """simple docstring"""
     assert self.left_tree_size == other.left_tree_size, "Unequal Sizes of Blocks"

     if self.val < other.val:
        snake_case_         =   self.right
        snake_case_         =   None
        if self.right:
           snake_case_         =   other
        snake_case_         =   other
        snake_case_         =   self.left_tree_size * 2 + 1
        return self
     else:
        snake_case_         =   other.right
        snake_case_         =   None
        if other.right:
           snake_case_         =   self
        snake_case_         =   self
        snake_case_         =   other.left_tree_size * 2 + 1
        return other






class       __lowerCAmelCase       :






  """simple docstring"""





  def __init__(       self    :    List[Any]      ,			_lowerCAmelCase    :    str=None      ,			_lowerCAmelCase    :    str=None      ,			_lowerCAmelCase    :    Optional[int]=0					)				->	Union[str, Any]:




     """simple docstring"""
     snake_case_         =   heap_size
     snake_case_         =   bottom_root
     snake_case_         =   min_node



  def    lowerCAmelCase__					(       self    :    Union[str, Any]      ,			_lowerCAmelCase    :    List[str]					)				->	List[Any]:




     """simple docstring"""






     if other.size == 0:
        return None
     if self.size == 0:
        snake_case_         =   other.size
        snake_case_         =   other.bottom_root
        snake_case_         =   other.min_node
        return None
     # Update size
     snake_case_         =   self.size + other.size

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

     # Order roots by left_subtree_size
     snake_case_         =   []
     snake_case_      ,      snake_case_         =   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)					)
           snake_case_         =   i.parent
        else:
           combined_roots_list.append((j, False)					)
           snake_case_         =   j.parent
         # Insert links between them
     for i in range(len(lowercase_					) - 1					):
        if combined_roots_list[i][1] != combined_roots_list[i + 1][1]:
           snake_case_         =   combined_roots_list[i + 1][0]
           snake_case_         =   combined_roots_list[i][0]
         # Consecutively merge roots with same left_tree_size
     snake_case_         =   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
           snake_case_         =   i.left
           snake_case_         =   i.parent.parent

           # Merging trees
           snake_case_         =   i.merge_trees(i.parent					)

           # Updating links
           snake_case_         =   previous_node
           snake_case_         =   next_node
           if previous_node:
              snake_case_         =   i
           if next_node:
              snake_case_         =   i
        else:
           snake_case_         =   i.parent
         # Updating self.bottom_root
     while i.left:
        snake_case_         =   i.left
     snake_case_         =   i

     # Update other
     snake_case_         =   self.size
     snake_case_         =   self.bottom_root
     snake_case_         =   self.min_node

     # Return the merged heap
     return self



  def    lowerCAmelCase__					(       self    :    Optional[int]      ,			_lowerCAmelCase    :    Dict					)				->	Optional[Any]:




     """simple docstring"""






     if self.size == 0:
        snake_case_         =   Node(lowercase_					)
        snake_case_         =   1
        snake_case_         =   self.bottom_root
     else:
        # Create new node
        snake_case_         =   Node(lowercase_					)

        # Update size
        self.size += 1

        # update min_node
        if val < self.min_node.val:
           snake_case_         =   new_node
        # Put new_node as a bottom_root in heap
        snake_case_         =   new_node
        snake_case_         =   self.bottom_root
        snake_case_         =   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
           snake_case_         =   self.bottom_root.parent.parent

           # Merge
           snake_case_         =   self.bottom_root.merge_trees(self.bottom_root.parent					)

           # Update Links
           snake_case_         =   next_node
           snake_case_         =   None
           if next_node:
              snake_case_         =   self.bottom_root



  def    lowerCAmelCase__					(       self    :    Tuple					)				->	str:




     """simple docstring"""
     return self.min_node.val



  def    lowerCAmelCase__					(       self    :    Dict					)				->	Tuple:




     """simple docstring"""
     return self.size == 0



  def    lowerCAmelCase__					(       self    :    int					)				->	List[str]:




     """simple docstring"""
     snake_case_         =   self.min_node.val

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

        # Update bottom root
        snake_case_         =   None

        # Update min_node
        snake_case_         =   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
        snake_case_         =   self.bottom_root.parent
        snake_case_         =   None

        # Update min_node
        snake_case_         =   self.bottom_root
        snake_case_         =   self.bottom_root.parent
        while i:
           if i.val < self.min_node.val:
              snake_case_         =   i
           snake_case_         =   i.parent
        return min_value
     # General case
     # Find the BinomialHeap of the right subtree of min_node
     snake_case_         =   self.min_node.right
     snake_case_         =   None
     snake_case_         =   bottom_of_new
     snake_case_         =   1

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

     # Update size
     snake_case_         =   self.size - 1 - size_of_new

     # Neighbour nodes
     snake_case_         =   self.min_node.left
     snake_case_         =   self.min_node.parent

     # Initialize new bottom_root and min_node
     snake_case_         =   previous_node or next_node
     snake_case_         =   next_node

     # Update links of previous_node and search below for new min_node and
     # bottom_root
     if previous_node:
        snake_case_         =   next_node

        # Update bottom_root and search for min_node below
        snake_case_         =   previous_node
        snake_case_         =   previous_node
        while self.bottom_root.left:
           snake_case_         =   self.bottom_root.left
           if self.bottom_root.val < self.min_node.val:
              snake_case_         =   self.bottom_root
     if next_node:
        snake_case_         =   previous_node

        # Search for new min_node above min_node
        snake_case_         =   next_node
        while i:
           if i.val < self.min_node.val:
              snake_case_         =   i
           snake_case_         =   i.parent
         # Merge heaps
     self.merge_heaps(lowercase_					)

     return min_value



  def    lowerCAmelCase__					(       self    :    List[str]					)				->	List[str]:




     """simple docstring"""
     snake_case_         =   self.bottom_root
     while top_root.parent:
        snake_case_         =   top_root.parent
     # preorder
     snake_case_         =   []
     self.__traversal(lowercase_      ,			lowercase_					)
     return heap_pre_order



  def    lowerCAmelCase__					(       self    :    List[str]      ,			_lowerCAmelCase    :    Optional[Any]      ,			_lowerCAmelCase    :    List[Any]      ,			_lowerCAmelCase    :    str=0					)				->	List[str]:




     """simple docstring"""






     if curr_node:
        preorder.append((curr_node.val, level)					)
        self.__traversal(curr_node.left      ,			lowercase_      ,			level + 1					)
        self.__traversal(curr_node.right      ,			lowercase_      ,			level + 1					)
     else:
        preorder.append(("#", level)					)



  def __str__(       self    :    Any					)				->	List[str]:




     """simple docstring"""






     if self.is_empty():
        return ""
     snake_case_         =   self.pre_order()

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


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

   doctest.testmod()








from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tf_available, is_torch_available


SCREAMING_SNAKE_CASE		:str											=       {'''configuration_cvt''': ['''CVT_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''CvtConfig''']}


try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   SCREAMING_SNAKE_CASE		:Any											=       [
       '''CVT_PRETRAINED_MODEL_ARCHIVE_LIST''',
       '''CvtForImageClassification''',
       '''CvtModel''',
       '''CvtPreTrainedModel''',
   ]

try:
   if not is_tf_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   SCREAMING_SNAKE_CASE		:Any											=       [
       '''TF_CVT_PRETRAINED_MODEL_ARCHIVE_LIST''',
       '''TFCvtForImageClassification''',
       '''TFCvtModel''',
       '''TFCvtPreTrainedModel''',
   ]

if TYPE_CHECKING:
   from .configuration_cvt import CVT_PRETRAINED_CONFIG_ARCHIVE_MAP, CvtConfig

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_cvt import (
          CVT_PRETRAINED_MODEL_ARCHIVE_LIST,
          CvtForImageClassification,
          CvtModel,
          CvtPreTrainedModel,
      )

   try:
      if not is_tf_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_tf_cvt import (
          TF_CVT_PRETRAINED_MODEL_ARCHIVE_LIST,
          TFCvtForImageClassification,
          TFCvtModel,
          TFCvtPreTrainedModel,
      )


else:
   import sys

   SCREAMING_SNAKE_CASE		:str											=       _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)




