


'''simple docstring'''






from __future__ import annotations

import queue




class 	a__       :





							'''simple docstring'''






							def __init__(	self      ,					lowerCamelCase_     ) ->							Optional[int]:
														lowerCAmelCase__      =			data
														lowerCAmelCase__      =			None
														lowerCAmelCase__      =			None


def       _snake_case     (  )		->					TreeNode:
							print('''\n********Press N to stop entering at any point of time********\n''' )
							lowerCAmelCase__      =			input('''Enter the value of the root node: ''' ).strip().lower()
							lowerCAmelCase__      =			queue.Queue()
							lowerCAmelCase__      =			TreeNode(int(A ) )
							q.put(A )
							while not q.empty():
														lowerCAmelCase__      =			q.get()
														lowerCAmelCase__      =			F"""Enter the left node of {node_found.data}: """
														lowerCAmelCase__      =			input(A ).strip().lower() or '''n'''
														if check == "n":
																					return tree_node
														lowerCAmelCase__      =			TreeNode(int(A ) )
														lowerCAmelCase__      =			left_node
														q.put(A )
														lowerCAmelCase__      =			F"""Enter the right node of {node_found.data}: """
														lowerCAmelCase__      =			input(A ).strip().lower() or '''n'''
														if check == "n":
																					return tree_node
														lowerCAmelCase__      =			TreeNode(int(A ) )
														lowerCAmelCase__      =			right_node
														q.put(A )
							raise


def       _snake_case     (  A )		->					None:
							if not isinstance(A				,					A ) or not node:
														return
							print(node.data				,					end=''',''' )
							pre_order(node.left )
							pre_order(node.right )


def       _snake_case     (  A )		->					None:
							if not isinstance(A				,					A ) or not node:
														return
							in_order(node.left )
							print(node.data				,					end=''',''' )
							in_order(node.right )


def       _snake_case     (  A )		->					None:
							if not isinstance(A				,					A ) or not node:
														return
							post_order(node.left )
							post_order(node.right )
							print(node.data				,					end=''',''' )


def       _snake_case     (  A )		->					None:
							if not isinstance(A				,					A ) or not node:
														return
							lowerCAmelCase__      =			queue.Queue()
							q.put(A )
							while not q.empty():
														lowerCAmelCase__      =			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       _snake_case     (  A )		->					None:
							if not isinstance(A				,					A ) or not node:
														return
							lowerCAmelCase__      =			queue.Queue()
							q.put(A )
							while not q.empty():
														lowerCAmelCase__      =			[]
														while not q.empty():
																					lowerCAmelCase__      =			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       _snake_case     (  A )		->					None:
							if not isinstance(A				,					A ) or not node:
														return
							lowerCAmelCase__      =			[]
							lowerCAmelCase__      =			node
							while n or stack:
														while n:  # start from root node, find its left child
																					print(n.data				,					end=''',''' )
																					stack.append(A )
																					lowerCAmelCase__      =			n.left
														# end of while means current node doesn't have left child
														lowerCAmelCase__      =			stack.pop()
														# start to traverse its right child
														lowerCAmelCase__      =			n.right


def       _snake_case     (  A )		->					None:
							if not isinstance(A				,					A ) or not node:
														return
							lowerCAmelCase__      =			[]
							lowerCAmelCase__      =			node
							while n or stack:
														while n:
																					stack.append(A )
																					lowerCAmelCase__      =			n.left
														lowerCAmelCase__      =			stack.pop()
														print(n.data				,					end=''',''' )
														lowerCAmelCase__      =			n.right


def       _snake_case     (  A )		->					None:
							if not isinstance(A				,					A ) or not node:
														return
							lowerCAmelCase__     ,      lowerCAmelCase__      =			[], []
							lowerCAmelCase__      =			node
							stacka.append(A )
							while stacka:  # to find the reversed order of post order, store it in stack2
														lowerCAmelCase__      =			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       _snake_case     (  A = ""				,					A=50				,					A="*" )		->					str:
							if not s:
														return "\n" + width * char
							lowerCAmelCase__     ,      lowerCAmelCase__      =			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'''))

		__UpperCAmelCase					       =							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())



'''simple docstring'''






import numpy as np
import qiskit


def       _snake_case     (  A = 8				,					A = None )		->					str:
							lowerCAmelCase__      =			np.random.default_rng(seed=A )

							# Roughly 25% of the qubits will contribute to the key.
							# So we take more than we need.
							lowerCAmelCase__      =			6 * key_len
							# Measurement basis for Alice's qubits.
							lowerCAmelCase__      =			rng.integers(2				,					size=A )
							# The set of states Alice will prepare.
							lowerCAmelCase__      =			rng.integers(2				,					size=A )
							# Measurement basis for Bob's qubits.
							lowerCAmelCase__      =			rng.integers(2				,					size=A )

							# Quantum Circuit to simulate BB84
							lowerCAmelCase__      =			qiskit.QuantumCircuit(A				,					name='''BB84''' )

							# Alice prepares her qubits according to rules above.
							for index, _ in enumerate(A ):
														if alice_state[index] == 1:
																					bbaa_circ.x(A )
														if alice_basis[index] == 1:
																					bbaa_circ.h(A )
							bbaa_circ.barrier()

							# Bob measures the received qubits according to rules above.
							for index, _ in enumerate(A ):
														if bob_basis[index] == 1:
																					bbaa_circ.h(A )

							bbaa_circ.barrier()
							bbaa_circ.measure_all()

							# Simulate the quantum circuit.
							lowerCAmelCase__      =			qiskit.Aer.get_backend('''aer_simulator''' )
							# We only need to run one shot because the key is unique.
							# Multiple shots will produce the same key.
							lowerCAmelCase__      =			qiskit.execute(A				,					A				,					shots=1				,					seed_simulator=A )
							# Returns the result of measurement.
							lowerCAmelCase__      =			job.result().get_counts(A ).most_frequent()

							# Extracting the generated key from the simulation results.
							# Only keep measurement results where Alice and Bob chose the same basis.
							lowerCAmelCase__      =			''''''.join(
							    [
							        result_bit
							        for alice_basis_bit, bob_basis_bit, result_bit in zip(
							            A				,					A				,					A )
							        if alice_basis_bit == bob_basis_bit
							    ] )

							# Get final key. Pad with 0 if too short, otherwise truncate.
							lowerCAmelCase__      =			gen_key[:key_len] if len(A ) >= key_len else gen_key.ljust(A				,					'''0''' )
							return key


if __name__ == "__main__":
		print(f"""The generated key is : {bbaa(8, seed=0)}""")
		from doctest import testmod

		testmod()