





from __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass
@dataclass
class SCREAMING_SNAKE_CASE_    :
						__magic_name__:      int
						__magic_name__:      TreeNode | None			   =							None
						__magic_name__:      TreeNode | None			   =							None


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


def 				SCREAMING_SNAKE_CASE__    (     __a ):

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

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

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

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

	depth_first_search(__a ,			0 ,			__a )
	return right_view


def 				SCREAMING_SNAKE_CASE__    (     __a ):

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

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

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

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

	depth_first_search(__a ,			0 ,			__a )
	return left_view


def 				SCREAMING_SNAKE_CASE__    (     __a ):

	def breadth_first_search(__a ,			__a ) -> None:
		snake_case_		:      Optional[int]           =						[(root, 0)]
		snake_case_		:      Tuple           =						defaultdict(__a )

		while queue:
			snake_case_		:      Any           =						queue.pop(0 )
			snake_case_    ,snake_case_		:      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 __a : each[0] ):
			top_view.append(pair[1][0] )

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

	breadth_first_search(__a ,			__a )
	return top_view


def 				SCREAMING_SNAKE_CASE__    (     __a ):
	from collections import defaultdict

	def breadth_first_search(__a ,			__a ) -> None:
		snake_case_		:      Any           =						[(root, 0)]
		snake_case_		:      int           =						defaultdict(__a )

		while queue:
			snake_case_		:      List[str]           =						queue.pop(0 )
			snake_case_    ,snake_case_		:      Dict           =						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 __a : each[0] ):
			bottom_view.append(pair[1][-1] )

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

	breadth_first_search(__a ,			__a )
	return bottom_view


if __name__ == "__main__":
						import doctest

						doctest.testmod()



from __future__ import annotations




def 		A						(  SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE     ,						):




			"""simple docstring"""


			if not all((nth_term, start_term_a, common_ratio_r)							):
						return []
			UpperCAmelCase__		:list[float | int] 		=    []
			UpperCAmelCase__		:str 		=    1
			UpperCAmelCase__		:Any 		=    common_ratio_r
			for _ in range(int(SCREAMING_SNAKE_CASE							)							):
						if not series:
									series.append(SCREAMING_SNAKE_CASE							)
						else:
									power += 1
									series.append(float(start_term_a * multiple							)							)
									UpperCAmelCase__		:str 		=    pow(float(SCREAMING_SNAKE_CASE							)     ,						SCREAMING_SNAKE_CASE							)
			return series


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						__snake_case					:							Optional[int]           =							float(input('Enter the last number (n term) of the Geometric Series'))
						__snake_case					:							List[str]           =							float(input('Enter the starting term (a) of the Geometric Series'))
						__snake_case					:							Optional[int]           =							float(
						    input('Enter the common ratio between two terms (r) of the Geometric Series')
						)
						print('Formula of Geometric Series => a + ar + ar^2 ... +ar^n')
						print(geometric_series(nth_term, start_term_a, common_ratio_r))





