




class 	A	:
     """simple docstring"""

     def __init__(			self     :      str		,     A__     :      Tuple	) ->				int:
           lowerCamelCase__					     = val
           # Number of nodes in left subtree
           lowerCamelCase__					     = 0
           lowerCamelCase__					     = None
           lowerCamelCase__					     = None
           lowerCamelCase__					     = None




     def        __snake_case      (			self     :      Optional[Any]		,     A__     :      List[Any]	) ->				Optional[int]:
           assert self.left_tree_size == other.left_tree_size, "Unequal Sizes of Blocks"

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






class 	A	:
     """simple docstring"""

     def __init__(			self     :      Optional[Any]		,     A__     :      Optional[Any]=None		,     A__     :      Tuple=None		,     A__     :      int=0	) ->				Union[str, Any]:
           lowerCamelCase__					     = heap_size
           lowerCamelCase__					     = bottom_root
           lowerCamelCase__					     = min_node




     def        __snake_case      (			self     :      Optional[Any]		,     A__     :      Tuple	) ->				Any:

           # Empty heaps corner cases
           if other.size == 0:
                 return None
           if self.size == 0:
                 lowerCamelCase__					     = other.size
                 lowerCamelCase__					     = other.bottom_root
                 lowerCamelCase__					     = other.min_node
                 return None
           # Update size
           lowerCamelCase__					     = self.size + other.size

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

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

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

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

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

           # Return the merged heap
           return self




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

                 # Update size
                 self.size += 1

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

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

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




     def        __snake_case      (			self     :      List[Any]	) ->				int:
           return self.min_node.val




     def        __snake_case      (			self     :      Dict	) ->				int:
           return self.size == 0




     def        __snake_case      (			self     :      str	) ->				str:
           lowerCamelCase__					     = self.min_node.val

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

                 # Update bottom root
                 lowerCamelCase__					     = None

                 # Update min_node
                 lowerCamelCase__					     = 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__					     = self.bottom_root.parent
                 lowerCamelCase__					     = None

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

           # Size, min_node and bottom_root
           while bottom_of_new.left:
                 lowerCamelCase__					     = size_of_new * 2 + 1
                 lowerCamelCase__					     = bottom_of_new.left
                 if bottom_of_new.val < min_of_new.val:
                       lowerCamelCase__					     = 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__					     = size_of_new
                 lowerCamelCase__					     = bottom_of_new
                 lowerCamelCase__					     = min_of_new
                 # print("Single root, multiple nodes case")
                 return min_value
           # Remaining cases
           # Construct heap of right subtree
           lowerCamelCase__					     = BinomialHeap(
               bottom_root=A__		,     min_node=A__		,     heap_size=A__	)

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

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

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

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

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

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

           return min_value




     def        __snake_case      (			self     :      Tuple	) ->				List[Any]:
           lowerCamelCase__					     = self.bottom_root
           while top_root.parent:
                 lowerCamelCase__					     = top_root.parent
           # preorder
           lowerCamelCase__					     = []
           self.__traversal(A__		,     A__	)
           return heap_pre_order




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




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

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


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

      doctest.testmod()




import unittest
from pathlib import Path

from transformers import is_vision_available, load_tool
from transformers.testing_utils import get_tests_dir

from .test_tools_common import ToolTesterMixin


if is_vision_available():
							from PIL import Image







class 							a_  (		unittest.TestCase					, _snake_case				):

						def 	__a       (    self	:Union[str, Any])		->					Optional[Any]:
												UpperCAmelCase_     							=     load_tool('''image-question-answering''')
												self.tool.setup()
												UpperCAmelCase_     							=     load_tool('''image-question-answering'''   ,						remote=_lowercase)

						def 	__a       (    self	:int)		->					Union[str, Any]:
												UpperCAmelCase_     							=     Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO''')) / '''000000039769.png''')
												UpperCAmelCase_     							=     self.tool(_lowercase   ,						'''How many cats are sleeping on the couch?''')
												self.assertEqual(_lowercase   ,						'''2''')

						def 	__a       (    self	:int)		->					Dict:
												UpperCAmelCase_     							=     Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO''')) / '''000000039769.png''')
												UpperCAmelCase_     							=     self.remote_tool(_lowercase   ,						'''How many cats are sleeping on the couch?''')
												self.assertEqual(_lowercase   ,						'''2''')

						def 	__a       (    self	:Optional[int])		->					int:
												UpperCAmelCase_     							=     Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO''')) / '''000000039769.png''')
												UpperCAmelCase_     							=     self.tool(image=_lowercase   ,						question='''How many cats are sleeping on the couch?''')
												self.assertEqual(_lowercase   ,						'''2''')




						def 	__a       (    self	:Optional[Any])		->					List[str]:
												UpperCAmelCase_     							=     Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO''')) / '''000000039769.png''')
												UpperCAmelCase_     							=     self.remote_tool(image=_lowercase   ,						question='''How many cats are sleeping on the couch?''')
												self.assertEqual(_lowercase   ,						'''2''')





