

from __future__ import annotations

import queue

class 							UpperCAmelCase_						:
							"""simple docstring"""







							def __init__(     self			,				_a			)       ->       Union[str, Any]:
												_a      :       Optional[Any]   =						data
												_a      :       Dict   =						None
												_a      :       Any   =						None



def   __UpperCAmelCase					(      )     ->	TreeNode:

					"""simple docstring"""

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



def   __UpperCAmelCase					(      __a :     TreeNode      )     ->	None:

					"""simple docstring"""

					if not isinstance(__a						,__a      ) or not node:
										return
					print(node.data						,end=''','''      )
					pre_order(node.left      )
					pre_order(node.right      )



def   __UpperCAmelCase					(      __a :     TreeNode      )     ->	None:

					"""simple docstring"""

					if not isinstance(__a						,__a      ) or not node:
										return
					in_order(node.left      )
					print(node.data						,end=''','''      )
					in_order(node.right      )



def   __UpperCAmelCase					(      __a :     TreeNode      )     ->	None:

					"""simple docstring"""

					if not isinstance(__a						,__a      ) or not node:
										return
					post_order(node.left      )
					post_order(node.right      )
					print(node.data						,end=''','''      )



def   __UpperCAmelCase					(      __a :     TreeNode      )     ->	None:

					"""simple docstring"""

					if not isinstance(__a						,__a      ) or not node:
										return
					_a      :       queue.Queue   =						queue.Queue()
					q.put(__a      )
					while not q.empty():
										_a      :       Tuple   =						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   __UpperCAmelCase					(      __a :     TreeNode      )     ->	None:

					"""simple docstring"""

					if not isinstance(__a						,__a      ) or not node:
										return
					_a      :       queue.Queue   =						queue.Queue()
					q.put(__a      )
					while not q.empty():
										_a      :       Tuple   =						[]
										while not q.empty():
															_a      :       List[Any]   =						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(__a      )



def   __UpperCAmelCase					(      __a :     TreeNode      )     ->	None:

					"""simple docstring"""

					if not isinstance(__a						,__a      ) or not node:
										return
					_a      :       list[TreeNode]   =						[]
					_a      :       List[Any]   =						node
					while n or stack:
										while n:  # start from root node, find its left child
															print(n.data						,end=''','''      )
															stack.append(__a      )
															_a      :       List[Any]   =						n.left
										# end of while means current node doesn't have left child
										_a      :       str   =						stack.pop()
										# start to traverse its right child
										_a      :       List[str]   =						n.right



def   __UpperCAmelCase					(      __a :     TreeNode      )     ->	None:

					"""simple docstring"""

					if not isinstance(__a						,__a      ) or not node:
										return
					_a      :       list[TreeNode]   =						[]
					_a      :       Tuple   =						node
					while n or stack:
										while n:
															stack.append(__a      )
															_a      :       Any   =						n.left
										_a      :       Tuple   =						stack.pop()
										print(n.data						,end=''','''      )
										_a      :       int   =						n.right



def   __UpperCAmelCase					(      __a :     TreeNode      )     ->	None:

					"""simple docstring"""

					if not isinstance(__a						,__a      ) or not node:
										return
					_a ,   _a      :       List[str]   =						[], []
					_a      :       List[str]   =						node
					stacka.append(__a      )
					while stacka:  # to find the reversed order of post order, store it in stack2
										_a      :       Optional[int]   =						stacka.pop()
										if n.left:
															stacka.append(n.left      )
										if n.right:
															stacka.append(n.right      )
										stacka.append(__a      )
					while stacka:  # pop up from stack2 will be the post order
										print(stacka.pop().data						,end=''','''      )



def   __UpperCAmelCase					(      __a :     str = ""						,__a :     Optional[int]=50						,__a :     List[Any]="*"      )     ->	str:

					"""simple docstring"""

					if not s:
										return "\n" + width * char
					_a ,   _a      :       Any   =						divmod(width - len(__a      ) - 2						,2      )
					return F"""{left * char} {s} {(left + extra) * char}"""


if __name__ == "__main__":
			import doctest

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

			a__												=						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('''*''' * 50 + '''\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 matplotlib.pyplot as plt  # type: ignore
import numpy

# initial triangle of Koch snowflake
a__												=						numpy.array([0, 0])
a__												=						numpy.array([0.5, 0.8660254])
a__												=						numpy.array([1, 0])
a__												=						[VECTOR_1, VECTOR_2, VECTOR_3, VECTOR_1]



def   __UpperCAmelCase					(      __a :     list[numpy.ndarray]						,__a :     int      )     ->	list[numpy.ndarray]:

					"""simple docstring"""

					_a      :       Tuple   =						initial_vectors
					for _ in range(__a      ):
										_a      :       int   =						iteration_step(__a      )
					return vectors



def   __UpperCAmelCase					(      __a :     list[numpy.ndarray]      )     ->	list[numpy.ndarray]:

					"""simple docstring"""

					_a      :       Tuple   =						[]
					for i, start_vector in enumerate(vectors[:-1]      ):
										_a      :       str   =						vectors[i + 1]
										new_vectors.append(__a      )
										_a      :       Optional[int]   =						end_vector - start_vector
										new_vectors.append(start_vector + difference_vector / 3      )
										new_vectors.append(
										    start_vector + difference_vector / 3 + rotate(difference_vector / 3						,60      )      )
										new_vectors.append(start_vector + difference_vector * 2 / 3      )
					new_vectors.append(vectors[-1]      )
					return new_vectors



def   __UpperCAmelCase					(      __a :     numpy.ndarray						,__a :     float      )     ->	numpy.ndarray:

					"""simple docstring"""

					_a      :       Tuple   =						numpy.radians(__a      )
					_a ,   _a      :       List[Any]   =						numpy.cos(__a      ), numpy.sin(__a      )
					_a      :       Dict   =						numpy.array(((c, -s), (s, c))      )
					return numpy.dot(__a						,__a      )



def   __UpperCAmelCase					(      __a :     list[numpy.ndarray]      )     ->	None:

					"""simple docstring"""

					_a      :       str   =						plt.gca()
					axes.set_aspect('''equal'''      )

					# matplotlib.pyplot.plot takes a list of all x-coordinates and a list of all
					# y-coordinates as inputs, which are constructed from the vector-list using
					# zip()
					_a ,   _a      :       Optional[int]   =						zip(*__a      )
					plt.plot(__a						,__a      )
					plt.show()


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			a__												=						iterate(INITIAL_VECTORS, 5)
			plot(processed_vectors)



