from __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass




@dataclass
class  __lowerCAmelCase	:



 '''simple docstring'''
 _lowerCamelCase    :						List[Any]					     =			42
 _lowerCamelCase    :						str					     =			None
 _lowerCamelCase    :						Dict					     =			None







def SCREAMING_SNAKE_CASE					(  ):
       return TreeNode(3		,    TreeNode(9					)		,    TreeNode(20		,    TreeNode(15					)		,    TreeNode(7					)					)					)


def SCREAMING_SNAKE_CASE					(  lowercase_:						TreeNode					):





       def depth_first_search(
           lowercase_:						TreeNode | None		,    lowercase_:						int		,    lowercase_:						list[int]					) -> 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  :							int	    =	[]
       if not root:
              return right_view

       depth_first_search(lowercase_		,    0		,    lowercase_					)
       return right_view


def SCREAMING_SNAKE_CASE					(  lowercase_:						TreeNode					):





       def depth_first_search(
           lowercase_:						TreeNode | None		,    lowercase_:						int		,    lowercase_:						list[int]					) -> 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  :							List[Any]	    =	[]
       if not root:
              return left_view

       depth_first_search(lowercase_		,    0		,    lowercase_					)
       return left_view


def SCREAMING_SNAKE_CASE					(  lowercase_:						TreeNode					):





       def breadth_first_search(lowercase_:						TreeNode		,    lowercase_:						list[int]					) -> None:
              _UpperCamelCase  :							List[Any]	    =	[(root, 0)]
              _UpperCamelCase  :							str	    =	defaultdict(lowercase_					)

              while queue:
                     _UpperCamelCase  :							List[Any]	    =	queue.pop(0					)
                     _UpperCamelCase    ,   _UpperCamelCase  :							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 lowercase_					: each[0]					):
                     top_view.append(pair[1][0]					)

       _UpperCamelCase  :							Optional[Any]	    =	[]
       if not root:
              return top_view

       breadth_first_search(lowercase_		,    lowercase_					)
       return top_view


def SCREAMING_SNAKE_CASE					(  lowercase_:						TreeNode					):
       from collections import defaultdict

       def breadth_first_search(lowercase_:						TreeNode		,    lowercase_:						list[int]					) -> None:
              _UpperCamelCase  :							Dict	    =	[(root, 0)]
              _UpperCamelCase  :							Optional[Any]	    =	defaultdict(lowercase_					)

              while queue:
                     _UpperCamelCase  :							Any	    =	queue.pop(0					)
                     _UpperCamelCase    ,   _UpperCamelCase  :							Optional[int]	    =	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  :							Optional[Any]	    =	[]
       if not root:
              return bottom_view

       breadth_first_search(lowercase_		,    lowercase_					)
       return bottom_view


if __name__ == "__main__":
 import doctest

 doctest.testmod()








def        a( A			:       int					,	A			:       int					,	A			:       int			)						->			float:
					"""simple docstring"""





					if common_ratio == 1:
										# Formula for sum if common ratio is 1
										return num_of_terms * first_term

					# Formula for finding sum of n terms of a GeometricProgression
					return (first_term / (1 - common_ratio)) * (1 - common_ratio**num_of_terms)
