


from __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass



@dataclass
class   __lowerCamelCase :
       _lowercase       							=    42
       _lowercase       							=    None
       _lowercase       							=    None






def 		_A		(		):


     """simple docstring"""


     return TreeNode(3				,     TreeNode(9   )				,     TreeNode(20				,     TreeNode(15   )				,     TreeNode(7   )   )   )






def 		_A		(		_lowercase   ):


     """simple docstring"""


     def depth_first_search(
         _lowercase				,     _lowercase				,     _lowercase   ) -> None:
          if not root:
               return

          if depth == len(_lowercase   ):
               right_view.append(root.val   )

          depth_first_search(root.right				,     depth + 1				,     _lowercase   )
          depth_first_search(root.left				,     depth + 1				,     _lowercase   )

     __UpperCamelCase   = []
     if not root:
          return right_view

     depth_first_search(_lowercase				,     0				,     _lowercase   )
     return right_view






def 		_A		(		_lowercase   ):


     """simple docstring"""


     def depth_first_search(
         _lowercase				,     _lowercase				,     _lowercase   ) -> None:
          if not root:
               return

          if depth == len(_lowercase   ):
               left_view.append(root.val   )

          depth_first_search(root.left				,     depth + 1				,     _lowercase   )
          depth_first_search(root.right				,     depth + 1				,     _lowercase   )

     __UpperCamelCase   = []
     if not root:
          return left_view

     depth_first_search(_lowercase				,     0				,     _lowercase   )
     return left_view






def 		_A		(		_lowercase   ):


     """simple docstring"""


     def breadth_first_search(_lowercase				,     _lowercase   ) -> None:
          __UpperCamelCase   = [(root, 0)]
          __UpperCamelCase   = defaultdict(_lowercase   )

          while queue:
               __UpperCamelCase   = queue.pop(0   )
               __UpperCamelCase,						__UpperCamelCase   = first

               lookup[hd].append(node.val   )

               if node.left:
                    queue.append((node.left, hd - 1)   )
               if node.right:
                    queue.append((node.right, hd + 1)   )

          for pair in sorted(lookup.items()				,     key=lambda _lowercase   : each[0]   ):
               top_view.append(pair[1][0]   )

     __UpperCamelCase   = []
     if not root:
          return top_view

     breadth_first_search(_lowercase				,     _lowercase   )
     return top_view






def 		_A		(		_lowercase   ):


     """simple docstring"""


     from collections import defaultdict

     def breadth_first_search(_lowercase				,     _lowercase   ) -> None:
          __UpperCamelCase   = [(root, 0)]
          __UpperCamelCase   = defaultdict(_lowercase   )

          while queue:
               __UpperCamelCase   = queue.pop(0   )
               __UpperCamelCase,						__UpperCamelCase   = first
               lookup[hd].append(node.val   )

               if node.left:
                    queue.append((node.left, hd - 1)   )
               if node.right:
                    queue.append((node.right, hd + 1)   )

          for pair in sorted(lookup.items()				,     key=lambda _lowercase   : each[0]   ):
               bottom_view.append(pair[1][-1]   )

     __UpperCamelCase   = []
     if not root:
          return bottom_view

     breadth_first_search(_lowercase				,     _lowercase   )
     return bottom_view


if __name__ == "__main__":
    import doctest

    doctest.testmod()






from ..utils import DummyObject, requires_backends



class   __lowerCamelCase (metaclass=_a	):
       _lowercase       							=    ["""torch""", """transformers""", """k_diffusion"""]







       def __init__( self:   Tuple,*A_:   Union[str, Any],**A_:   Tuple				):






            '''simple docstring'''




            requires_backends(self,['torch', 'transformers', 'k_diffusion']				)







       @classmethod
       def 		snake_case_  ( cls:   int,*A_:   Optional[Any],**A_:   Tuple				):






            '''simple docstring'''




            requires_backends(cls,['torch', 'transformers', 'k_diffusion']				)







       @classmethod
       def 		snake_case_  ( cls:   int,*A_:   Tuple,**A_:   Tuple				):






            '''simple docstring'''




            requires_backends(cls,['torch', 'transformers', 'k_diffusion']				)


