





from __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass

@dataclass
class 						UpperCamelCase__					:



     '''simple docstring'''

     __snake_case       :      str						      =     42
     __snake_case       :      Tuple						      =     None
     __snake_case       :      Optional[Any]						      =     None



def   __lowercase  ( )					->  TreeNode:


      '''simple docstring'''


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



def   __lowercase  ( _SCREAMING_SNAKE_CASE      )					->  list[int]:


      '''simple docstring'''


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

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

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

      SCREAMING_SNAKE_CASE						=		[]
      if not root:
            return right_view

      depth_first_search(_UpperCAmelCase					,		0					,		_UpperCAmelCase      )
      return right_view



def   __lowercase  ( _SCREAMING_SNAKE_CASE      )					->  list[int]:


      '''simple docstring'''


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

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

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

      SCREAMING_SNAKE_CASE						=		[]
      if not root:
            return left_view

      depth_first_search(_UpperCAmelCase					,		0					,		_UpperCAmelCase      )
      return left_view



def   __lowercase  ( _SCREAMING_SNAKE_CASE      )					->  list[int]:


      '''simple docstring'''


      def breadth_first_search(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      ) -> None:
            SCREAMING_SNAKE_CASE						=		[(root, 0)]
            SCREAMING_SNAKE_CASE						=		defaultdict(_UpperCAmelCase      )

            while queue:
                  SCREAMING_SNAKE_CASE						=		queue.pop(0      )
                  SCREAMING_SNAKE_CASE						=		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 _SCREAMING_SNAKE_CASE      : each[0]      ):
                  top_view.append(pair[1][0]      )

      SCREAMING_SNAKE_CASE						=		[]
      if not root:
            return top_view

      breadth_first_search(_UpperCAmelCase					,		_UpperCAmelCase      )
      return top_view



def   __lowercase  ( _SCREAMING_SNAKE_CASE      )					->  list[int]:


      '''simple docstring'''


      from collections import defaultdict

      def breadth_first_search(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      ) -> None:
            SCREAMING_SNAKE_CASE						=		[(root, 0)]
            SCREAMING_SNAKE_CASE						=		defaultdict(_UpperCAmelCase      )

            while queue:
                  SCREAMING_SNAKE_CASE						=		queue.pop(0      )
                  SCREAMING_SNAKE_CASE						=		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 _SCREAMING_SNAKE_CASE      : each[0]      ):
                  bottom_view.append(pair[1][-1]      )

      SCREAMING_SNAKE_CASE						=		[]
      if not root:
            return bottom_view

      breadth_first_search(_UpperCAmelCase					,		_UpperCAmelCase      )
      return bottom_view


if __name__ == "__main__":
      import doctest

      doctest.testmod()







"""simple docstring"""




from __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass


@dataclass
class 	a__		:
   _lowerCamelCase       				=					42
   _lowerCamelCase       				=					None
   _lowerCamelCase       				=					None




def 	lowercase__  (      )  ->      TreeNode:






      '''simple docstring'''


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


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


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

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

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

      lowercase	:   list											= []
      if not root:
            return right_view

      depth_first_search(_UpperCAmelCase						,   0						,   _UpperCAmelCase					)
      return right_view


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


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

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

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

      lowercase	:   list											= []
      if not root:
            return left_view

      depth_first_search(_UpperCAmelCase						,   0						,   _UpperCAmelCase					)
      return left_view


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


      def breadth_first_search(_UpperCAmelCase						,   _UpperCAmelCase					) -> None:
            lowercase	:   List[str]											= [(root, 0)]
            lowercase	:   List[Any]											= defaultdict(_UpperCAmelCase					)

            while queue:
                  lowercase	:   Union[str, Any]											= queue.pop(0					)
                  lowercase						,     lowercase	:   str											= 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 _UpperCAmelCase					: each[0]					):
                  top_view.append(pair[1][0]					)

      lowercase	:   list											= []
      if not root:
            return top_view

      breadth_first_search(_UpperCAmelCase						,   _UpperCAmelCase					)
      return top_view


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


      from collections import defaultdict

      def breadth_first_search(_UpperCAmelCase						,   _UpperCAmelCase					) -> None:
            lowercase	:   Any											= [(root, 0)]
            lowercase	:   Dict											= defaultdict(_UpperCAmelCase					)

            while queue:
                  lowercase	:   str											= queue.pop(0					)
                  lowercase						,     lowercase	:   List[Any]											= 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 _UpperCAmelCase					: each[0]					):
                  bottom_view.append(pair[1][-1]					)

      lowercase	:   list											= []
      if not root:
            return bottom_view

      breadth_first_search(_UpperCAmelCase						,   _UpperCAmelCase					)
      return bottom_view


if __name__ == "__main__":
     import doctest

     doctest.testmod()
