





"""simple docstring"""




from __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass






@dataclass
class  __A   :

			'''simple docstring'''







			lowerCAmelCase_												=						42
			lowerCAmelCase_												=						None
			lowerCAmelCase_												=						None





def lowerCAmelCase__()    ->				TreeNode:







	'''simple docstring'''







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





def lowerCAmelCase__(__snake_case							)    ->				list[int]:







	'''simple docstring'''







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

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

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

	lowerCamelCase__        =		[]
	if not root:
		return right_view

	depth_first_search(_lowerCamelCase	,0	,_lowerCamelCase							)
	return right_view





def lowerCAmelCase__(__snake_case							)    ->				list[int]:







	'''simple docstring'''







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

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

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

	lowerCamelCase__        =		[]
	if not root:
		return left_view

	depth_first_search(_lowerCamelCase	,0	,_lowerCamelCase							)
	return left_view





def lowerCAmelCase__(__snake_case							)    ->				list[int]:







	'''simple docstring'''







	def breadth_first_search(__snake_case	,__snake_case							) -> None:
		lowerCamelCase__        =		[(root, 0)]
		lowerCamelCase__        =		defaultdict(_lowerCamelCase							)

		while queue:
			lowerCamelCase__        =		queue.pop(0							)
			lowerCamelCase__    ,     lowerCamelCase__        =		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 __snake_case							: each[0]							):
			top_view.append(pair[1][0]							)

	lowerCamelCase__        =		[]
	if not root:
		return top_view

	breadth_first_search(_lowerCamelCase	,_lowerCamelCase							)
	return top_view





def lowerCAmelCase__(__snake_case							)    ->				list[int]:







	'''simple docstring'''







	from collections import defaultdict

	def breadth_first_search(__snake_case	,__snake_case							) -> None:
		lowerCamelCase__        =		[(root, 0)]
		lowerCamelCase__        =		defaultdict(_lowerCamelCase							)

		while queue:
			lowerCamelCase__        =		queue.pop(0							)
			lowerCamelCase__    ,     lowerCamelCase__        =		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 __snake_case							: each[0]							):
			bottom_view.append(pair[1][-1]							)

	lowerCamelCase__        =		[]
	if not root:
		return bottom_view

	breadth_first_search(_lowerCamelCase	,_lowerCamelCase							)
	return bottom_view


if __name__ == "__main__":
			import doctest

			doctest.testmod()










import os





def lowerCAmelCase__()    ->				Optional[Any]:







	'''simple docstring'''







	lowerCamelCase__        =		os.path.dirname(os.path.realpath(__snake_case							)							)
	lowerCamelCase__        =		os.path.join(__snake_case	,'''triangle.txt'''							)

	with open(__snake_case							) as f:
		lowerCamelCase__        =		f.readlines()

	lowerCamelCase__        =		[[int(__snake_case							) for y in x.rstrip('''\r\n'''							).split(''' '''							)] for x in triangle]

	for i in range(1	,len(__snake_case							)							):
		for j in range(len(a[i]							)							):
			lowerCamelCase__        =		a[i - 1][j] if j != len(a[i - 1]							) else 0
			lowerCamelCase__        =		a[i - 1][j - 1] if j > 0 else 0
			a[i][j] += max(__snake_case	,__snake_case							)
	return max(a[-1]							)


if __name__ == "__main__":
			print(solution())



