




from __future__ import annotations

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






@dataclass
class  __magic_name__						:
				'''simple docstring'''







				SCREAMING_SNAKE_CASE__					:							int
				SCREAMING_SNAKE_CASE__					:							Node | None	      =					None
				SCREAMING_SNAKE_CASE__					:							Node | None	      =					None






def 			a   ():
							SCREAMING_SNAKE_CASE_   	=    Node(1     )
							SCREAMING_SNAKE_CASE_   	=    Node(2     )
							SCREAMING_SNAKE_CASE_   	=    Node(3     )
							SCREAMING_SNAKE_CASE_   	=    Node(4     )
							SCREAMING_SNAKE_CASE_   	=    Node(5     )
							return tree

def 			a   (_lowerCAmelCase     ):
							return [root.data, *preorder(root.left     ), *preorder(root.right     )] if root else []

def 			a   (_lowerCAmelCase     ):
							return postorder(root.left     ) + postorder(root.right     ) + [root.data] if root else []

def 			a   (_lowerCAmelCase     ):
							return [*inorder(root.left     ), root.data, *inorder(root.right     )] if root else []

def 			a   (_lowerCAmelCase     ):
							return (max(height(root.left     )  ,    height(root.right     )     ) + 1) if root else 0

def 			a   (_lowerCAmelCase     ):
							SCREAMING_SNAKE_CASE_   	=    []

							if root is None:
														return output

							SCREAMING_SNAKE_CASE_   	=    deque([root]     )

							while process_queue:
														SCREAMING_SNAKE_CASE_   	=    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  ,    _lowerCAmelCase     ):
							SCREAMING_SNAKE_CASE_   	=    []

							def populate_output(_lowerCAmelCase  ,    _lowerCAmelCase     ) -> 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(lowercase_  ,    lowercase_     )
							return output

def 			a   (_lowerCAmelCase  ,    _lowerCAmelCase     ):
							SCREAMING_SNAKE_CASE_   	=    []

							def populate_output(_lowerCAmelCase  ,    _lowerCAmelCase     ) -> 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(lowercase_  ,    lowercase_     )
							return output

def 			a   (_lowerCAmelCase     ):

							if root is None:
														return []

							SCREAMING_SNAKE_CASE_   	=    []

							SCREAMING_SNAKE_CASE_   	=    0
							SCREAMING_SNAKE_CASE_   	=    height(lowercase_     )

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

							return output

def 			a   ():  # Main function for testing.
							SCREAMING_SNAKE_CASE_   	=    make_tree()
							print(F"In-order Traversal: {inorder(lowercase_     )}"     )
							print(F"Pre-order Traversal: {preorder(lowercase_     )}"     )
							print(F"Post-order Traversal: {postorder(lowercase_     )}"  ,    '''\n'''     )

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

							print('''Complete Level Order Traversal: '''     )
							print(level_order(lowercase_     )  ,    '''\n'''     )

							print('''Level-wise order Traversal: '''     )

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

							print('''\nZigZag order Traversal: '''     )
							print(zigzag(lowercase_     )     )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()








from __future__ import annotations

from math import pi

# Define the Reduced Planck Constant ℏ (H bar), speed of light C, value of
# Pi and the function
__SCREAMING_SNAKE_CASE 						=1.0_5_4_5_7_1_8_1_7e-3_4  # unit of ℏ : J * s

__SCREAMING_SNAKE_CASE 						=3e8  # unit of c : m * s^-1

def 			a   (_lowerCAmelCase  ,    _lowerCAmelCase  ,    _lowerCAmelCase     ):

							if (force, area, distance).count(0     ) != 1:
														raise ValueError('''One and only one argument must be 0'''     )
							if force < 0:
														raise ValueError('''Magnitude of force can not be negative'''     )
							if distance < 0:
														raise ValueError('''Distance can not be negative'''     )
							if area < 0:
														raise ValueError('''Area can not be negative'''     )
							if force == 0:
														SCREAMING_SNAKE_CASE_   	=    (REDUCED_PLANCK_CONSTANT * SPEED_OF_LIGHT * pi**2 * area) / (
														    2_4_0 * (distance) ** 4
														)
														return {"force": force}
							elif area == 0:
														SCREAMING_SNAKE_CASE_   	=    (2_4_0 * force * (distance) ** 4) / (
														    REDUCED_PLANCK_CONSTANT * SPEED_OF_LIGHT * pi**2
														)
														return {"area": area}
							elif distance == 0:
														SCREAMING_SNAKE_CASE_   	=    (
														    (REDUCED_PLANCK_CONSTANT * SPEED_OF_LIGHT * pi**2 * area) / (2_4_0 * force)
														) ** (1 / 4)
														return {"distance": distance}
							raise ValueError('''One and only one argument must be 0'''     )


# Run doctest
if __name__ == "__main__":
			import doctest

			doctest.testmod()


