






"""simple docstring"""



from __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass


@dataclass
class 	_UpperCamelCase :



    '''simple docstring'''


    __lowercase    :   int											=						42
    __lowercase    :   List[Any]											=						None
    __lowercase    :   int											=						None




def       snake_case__		(   )    ->TreeNode:
 return TreeNode(3       ,	TreeNode(9			)       ,	TreeNode(2_0       ,	TreeNode(1_5			)       ,	TreeNode(7			)			)			)




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




 def depth_first_search(
     _SCREAMING_SNAKE_CASE       ,	_SCREAMING_SNAKE_CASE       ,	_SCREAMING_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__			)

 UpperCAmelCase__ 						=				[]
 if not root:
  return right_view

 depth_first_search(lowerCAmelCase__       ,	0       ,	lowerCAmelCase__			)
 return right_view




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




 def depth_first_search(
     _SCREAMING_SNAKE_CASE       ,	_SCREAMING_SNAKE_CASE       ,	_SCREAMING_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__			)

 UpperCAmelCase__ 						=				[]
 if not root:
  return left_view

 depth_first_search(lowerCAmelCase__       ,	0       ,	lowerCAmelCase__			)
 return left_view




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




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

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

 UpperCAmelCase__ 						=				[]
 if not root:
  return top_view

 breadth_first_search(lowerCAmelCase__       ,	lowerCAmelCase__			)
 return top_view




def       snake_case__		(   _SCREAMING_SNAKE_CASE			)    ->list[int]:
 from collections import defaultdict

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

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

 UpperCAmelCase__ 						=				[]
 if not root:
  return bottom_view

 breadth_first_search(lowerCAmelCase__       ,	lowerCAmelCase__			)
 return bottom_view


if __name__ == "__main__":
 import doctest

 doctest.testmod()








"""simple docstring"""







from .stack import Stack

def 							UpperCamelCase_       (       lowerCAmelCase__ :							str		)		->  bool:

  """simple docstring"""




  lowerCAmelCase_  :							Stack[str]								=					Stack()
  lowerCAmelCase_  :							List[str]								=					{'(': ')', '[': ']', '{': '}'}
  for bracket in parentheses:
    if bracket in bracket_pairs:
      stack.push(lowerCAmelCase__		)
    elif bracket in (")", "]", "}"):
      if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
        return False
  return stack.is_empty()


if __name__ == "__main__":
     from doctest import testmod

     testmod()

     lowercase__						:							List[str]        =      ["""((()))""", """((())""", """(()))"""]
     print("""Balanced parentheses demonstration:\n""")
     for example in examples:
          lowercase__						:							List[Any]        =      """""" if balanced_parentheses(example) else """not """
          print(f'{example} is {not_str}balanced')





