




from __future__ import annotations

from collections import deque
from collections.abc import Sequence
from dataclasses import dataclass
from typing import Any





@dataclass
class 					__lowerCamelCase			:




    """simple docstring"""

    snake_case__   = 42
    snake_case__   = None
    snake_case__   = None






def 				_A  (		):
     """simple docstring"""

     lowerCAmelCase__            =					Node(1     )
     lowerCAmelCase__            =					Node(2     )
     lowerCAmelCase__            =					Node(3     )
     lowerCAmelCase__            =					Node(4     )
     lowerCAmelCase__            =					Node(5     )
     return tree



def 				_A  (		lowerCAmelCase_	:   Node | None     ):
     """simple docstring"""

     return [root.data, *preorder(root.left     ), *preorder(root.right     )] if root else []



def 				_A  (		lowerCAmelCase_	:   Node | None     ):
     """simple docstring"""

     return postorder(root.left     ) + postorder(root.right     ) + [root.data] if root else []



def 				_A  (		lowerCAmelCase_	:   Node | None     ):
     """simple docstring"""

     return [*inorder(root.left     ), root.data, *inorder(root.right     )] if root else []



def 				_A  (		lowerCAmelCase_	:   Node | None     ):
     """simple docstring"""

     return (max(height(root.left     )  ,							height(root.right     )     ) + 1) if root else 0



def 				_A  (		lowerCAmelCase_	:   Node | None     ):
     """simple docstring"""

     lowerCAmelCase__            =					[]

     if root is None:
          return output

     lowerCAmelCase__            =					deque([root]     )

     while process_queue:
          lowerCAmelCase__            =					process_queue.popleft()
          output.append(node.data     )

          if node.left:
               process_queue.append(node.left     )
          if node.right:
               process_queue.append(node.right     )
     return output



def 				_A  (		lowerCAmelCase_	:   Node | None  ,							lowerCAmelCase_	:   int     ):
     """simple docstring"""

     lowerCAmelCase__            =					[]

     def populate_output(lowerCAmelCase_	:   Node | None  ,							lowerCAmelCase_	:   int     ) -> None:
          if not root:
               return
          if level == 1:
               output.append(root.data     )
          elif level > 1:
               populate_output(root.left  ,							level - 1     )
               populate_output(root.right  ,							level - 1     )

     populate_output(lowerCAmelCase_  ,							lowerCAmelCase_     )
     return output



def 				_A  (		lowerCAmelCase_	:   Node | None  ,							lowerCAmelCase_	:   int     ):
     """simple docstring"""

     lowerCAmelCase__            =					[]

     def populate_output(lowerCAmelCase_	:   Node | None  ,							lowerCAmelCase_	:   int     ) -> None:
          if root is None:
               return
          if level == 1:
               output.append(root.data     )
          elif level > 1:
               populate_output(root.right  ,							level - 1     )
               populate_output(root.left  ,							level - 1     )

     populate_output(lowerCAmelCase_  ,							lowerCAmelCase_     )
     return output



def 				_A  (		lowerCAmelCase_	:   Node | None     ):
     """simple docstring"""

     if root is None:
          return []

     lowerCAmelCase__            =					[]

     lowerCAmelCase__            =					0
     lowerCAmelCase__            =					height(lowerCAmelCase_     )

     for h in range(1  ,							height_tree + 1     ):
          if not flag:
               output.append(get_nodes_from_left_to_right(lowerCAmelCase_  ,							lowerCAmelCase_     )     )
               lowerCAmelCase__            =					1
          else:
               output.append(get_nodes_from_right_to_left(lowerCAmelCase_  ,							lowerCAmelCase_     )     )
               lowerCAmelCase__            =					0

     return output



def 				_A  (		):  # Main function for testing.
     """simple docstring"""

     lowerCAmelCase__            =					make_tree()
     print(F'In-order Traversal: {inorder(lowerCAmelCase_     )}'     )
     print(F'Pre-order Traversal: {preorder(lowerCAmelCase_     )}'     )
     print(F'Post-order Traversal: {postorder(lowerCAmelCase_     )}'  ,							"\n"     )

     print(F'Height of Tree: {height(lowerCAmelCase_     )}'  ,							"\n"     )

     print("Complete Level Order Traversal: "     )
     print(level_order(lowerCAmelCase_     )  ,							"\n"     )

     print("Level-wise order Traversal: "     )

     for level in range(1  ,							height(lowerCAmelCase_     ) + 1     ):
          print(F'Level {level}:'  ,							get_nodes_from_left_to_right(lowerCAmelCase_  ,							level=lowerCAmelCase_     )     )

     print("\nZigZag order Traversal: "     )
     print(zigzag(lowerCAmelCase_     )     )


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     main()







'''simple docstring'''






import cva
import numpy as np




class  _A :

		def __init__(   self					:   Any  ,      __magic_name__					:   float  ,      __magic_name__					:   int			)					->    Optional[int]:


					"""simple docstring"""

					if k in (0.04, 0.06):
								__snake_case					:      List[str]							      =     k
								__snake_case					:      int							      =     window_size
					else:
								raise ValueError("""invalid k value"""			)

		def __str__(   self					:   Union[str, Any]			)					->    str:


					"""simple docstring"""

					return str(self.k			)

		def 	lowercase__     (   self					:   Dict  ,      __magic_name__					:   str			)					->    tuple[cva.Mat, list[list[int]]]:


					"""simple docstring"""

					__snake_case					:      Dict							      =     cva.imread(__magic_name__  ,      0			)
					__snake_case      ,     __snake_case					:      List[str]							      =     img.shape
					__snake_case					:      list[list[int]]							      =     []
					__snake_case					:      str							      =     img.copy()
					__snake_case					:      Tuple							      =     cva.cvtColor(__magic_name__  ,      cva.COLOR_GRAY2RGB			)
					__snake_case      ,     __snake_case					:      List[Any]							      =     np.gradient(__magic_name__			)
					__snake_case					:      Optional[Any]							      =     dx**2
					__snake_case					:      Tuple							      =     dy**2
					__snake_case					:      List[Any]							      =     dx * dy
					__snake_case					:      List[Any]							      =     0.04
					__snake_case					:      Tuple							      =     self.window_size // 2
					for y in range(__magic_name__  ,      h - offset			):
								for x in range(__magic_name__  ,      w - offset			):
											__snake_case					:      Dict							      =     ixx[
											    y - offset : y + offset + 1, x - offset : x + offset + 1
											].sum()
											__snake_case					:      Optional[int]							      =     iyy[
											    y - offset : y + offset + 1, x - offset : x + offset + 1
											].sum()
											__snake_case					:      str							      =     ixy[
											    y - offset : y + offset + 1, x - offset : x + offset + 1
											].sum()

											__snake_case					:      List[str]							      =     (wxx * wyy) - (wxy**2)
											__snake_case					:      Dict							      =     wxx + wyy
											__snake_case					:      List[str]							      =     det - k * (trace**2)
											# Can change the value
											if r > 0.5:
														corner_list.append([x, y, r]			)
														color_img.itemset((y, x, 0)  ,      0			)
														color_img.itemset((y, x, 1)  ,      0			)
														color_img.itemset((y, x, 2)  ,      2_55			)
					return color_img, corner_list


if __name__ == "__main__":
	__UpperCamelCase					    =	HarrisCorner(0.04, 3)
	__UpperCamelCase    ,		__UpperCamelCase					    =	edge_detect.detect("path_to_image")
	cva.imwrite("detect.png", color_img)


