






"""simple docstring"""



from __future__ import annotations

import queue

class        a     :







    def __init__(			self							,		_lowerCamelCase       ):
      lowercase							    =       data
      lowercase							    =       None
      lowercase							    =       None


def 						_SCREAMING_SNAKE_CASE (    ):





  '''simple docstring'''





  print('\n********Press N to stop entering at any point of time********\n'    )
  lowercase							    =       input('Enter the value of the root node: '    ).strip().lower()
  lowercase							    =       queue.Queue()
  lowercase							    =       TreeNode(int(lowercase_    )    )
  q.put(lowercase_    )
  while not q.empty():
    lowercase							    =       q.get()
    lowercase							    =       f'Enter the left node of {node_found.data}: '
    lowercase							    =       input(lowercase_    ).strip().lower() or 'n'
    if check == "n":
      return tree_node
    lowercase							    =       TreeNode(int(lowercase_    )    )
    lowercase							    =       left_node
    q.put(lowercase_    )
    lowercase							    =       f'Enter the right node of {node_found.data}: '
    lowercase							    =       input(lowercase_    ).strip().lower() or 'n'
    if check == "n":
      return tree_node
    lowercase							    =       TreeNode(int(lowercase_    )    )
    lowercase							    =       right_node
    q.put(lowercase_    )
  raise
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  Optional[Any]    ):





  '''simple docstring'''





  if not isinstance(lowercase_		,					lowercase_    ) or not node:
    return
  print(node.data		,					end=','    )
  pre_order(node.left    )
  pre_order(node.right    )
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  Any    ):





  '''simple docstring'''





  if not isinstance(lowercase_		,					lowercase_    ) or not node:
    return
  in_order(node.left    )
  print(node.data		,					end=','    )
  in_order(node.right    )
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  int    ):





  '''simple docstring'''





  if not isinstance(lowercase_		,					lowercase_    ) or not node:
    return
  post_order(node.left    )
  post_order(node.right    )
  print(node.data		,					end=','    )
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  List[Any]    ):





  '''simple docstring'''





  if not isinstance(lowercase_		,					lowercase_    ) or not node:
    return
  lowercase							    =       queue.Queue()
  q.put(lowercase_    )
  while not q.empty():
    lowercase							    =       q.get()
    print(node_dequeued.data		,					end=','    )
    if node_dequeued.left:
      q.put(node_dequeued.left    )
    if node_dequeued.right:
      q.put(node_dequeued.right    )
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  Any    ):





  '''simple docstring'''





  if not isinstance(lowercase_		,					lowercase_    ) or not node:
    return
  lowercase							    =       queue.Queue()
  q.put(lowercase_    )
  while not q.empty():
    lowercase							    =       []
    while not q.empty():
      lowercase							    =       q.get()
      print(node_dequeued.data		,					end=','    )
      if node_dequeued.left:
        list_.append(node_dequeued.left    )
      if node_dequeued.right:
        list_.append(node_dequeued.right    )
    print()
    for node in list_:
      q.put(lowercase_    )
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  Optional[int]    ):





  '''simple docstring'''





  if not isinstance(lowercase_		,					lowercase_    ) or not node:
    return
  lowercase							    =       []
  lowercase							    =       node
  while n or stack:
    while n:  # start from root node, find its left child
      print(n.data		,					end=','    )
      stack.append(lowercase_    )
      lowercase							    =       n.left
    # end of while means current node doesn't have left child
    lowercase							    =       stack.pop()
    # start to traverse its right child
    lowercase							    =       n.right
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  Tuple    ):





  '''simple docstring'''





  if not isinstance(lowercase_		,					lowercase_    ) or not node:
    return
  lowercase							    =       []
  lowercase							    =       node
  while n or stack:
    while n:
      stack.append(lowercase_    )
      lowercase							    =       n.left
    lowercase							    =       stack.pop()
    print(n.data		,					end=','    )
    lowercase							    =       n.right
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  Optional[Any]    ):





  '''simple docstring'''





  if not isinstance(lowercase_		,					lowercase_    ) or not node:
    return
  lowercase    ,     lowercase							    =       [], []
  lowercase							    =       node
  stacka.append(lowercase_    )
  while stacka:  # to find the reversed order of post order, store it in stack2
    lowercase							    =       stacka.pop()
    if n.left:
      stacka.append(n.left    )
    if n.right:
      stacka.append(n.right    )
    stacka.append(lowercase_    )
  while stacka:  # pop up from stack2 will be the post order
    print(stacka.pop().data		,					end=','    )
def 						_SCREAMING_SNAKE_CASE (    __snake_case			:  Union[str, Any] = ""		,					__snake_case			:  Any=50		,					__snake_case			:  Optional[int]="*"    ):





  '''simple docstring'''





  if not s:
    return "\n" + width * char
  lowercase    ,     lowercase							    =       divmod(width - len(lowercase_    ) - 2		,					2    )
  return f'{left * char} {s} {(left + extra) * char}'


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    print(prompt('Binary Tree Traversals'))

    _UpperCamelCase		:  TreeNode						=		build_tree()
    print(prompt('Pre Order Traversal'))
    pre_order(node)
    print(prompt() + '\n')

    print(prompt('In Order Traversal'))
    in_order(node)
    print(prompt() + '\n')

    print(prompt('Post Order Traversal'))
    post_order(node)
    print(prompt() + '\n')

    print(prompt('Level Order Traversal'))
    level_order(node)
    print(prompt() + '\n')

    print(prompt('Actual Level Order Traversal'))
    level_order_actual(node)
    print('*' * 5_0 + '\n')

    print(prompt('Pre Order Traversal - Iteration Version'))
    pre_order_iter(node)
    print(prompt() + '\n')

    print(prompt('In Order Traversal - Iteration Version'))
    in_order_iter(node)
    print(prompt() + '\n')

    print(prompt('Post Order Traversal - Iteration Version'))
    post_order_iter(node)
    print(prompt())








from __future__ import annotations

import typing
from collections.abc import Iterable

import numpy as np

_lowerCamelCase	:		str							       =   typing.Union[Iterable[float], Iterable[int], np.ndarray]  # noqa: UP007
_lowerCamelCase	:		Tuple							       =   typing.Union[np.floataa, int, float]  # noqa: UP007







def SCREAMING_SNAKE_CASE				(       lowercase_ ,				lowercase_						)   ->       VectorOut:



       """simple docstring"""

       return np.sqrt(np.sum((np.asarray(lowercase_						) - np.asarray(lowercase_						)) ** 2						)						)







def SCREAMING_SNAKE_CASE				(       lowercase_ ,				lowercase_						)   ->       VectorOut:



       """simple docstring"""

       return sum((va - va) ** 2 for va, va in zip(lowercase_ ,				lowercase_						)						) ** (1 / 2)


if __name__ == "__main__":







  def SCREAMING_SNAKE_CASE				(       )   ->       None:



         """simple docstring"""

         from timeit import timeit

         print('''Without Numpy'''						)
         print(
             timeit(
                 '''euclidean_distance_no_np([1, 2, 3], [4, 5, 6])''' ,				number=10_000 ,				globals=globals() ,				)						)
         print('''With Numpy'''						)
         print(
             timeit(
                 '''euclidean_distance([1, 2, 3], [4, 5, 6])''' ,				number=10_000 ,				globals=globals() ,				)						)
  benchmark()


