

'''simple docstring'''



from __future__ import annotations

# This is the precision for this function which can be altered.
# It is recommended for users to keep this number greater than or equal to 10.
_lowercase    =		10


def A				(__lowerCamelCase				:int			,     __lowerCamelCase				:int			,     __lowerCamelCase				:list[int]			,     __lowerCamelCase				:int		):
						for i in range(__lowerCamelCase			,     __lowerCamelCase		):
												if array[i] == target:
																		return i
						return -1


def A				(__lowerCamelCase				:list[int]			,     __lowerCamelCase				:int		):
						_lowerCAmelCase  						=			0
						_lowerCAmelCase  						=			len(__lowerCamelCase		)
						while left <= right:
												if right - left < precision:
																		return lin_search(__lowerCamelCase			,     __lowerCamelCase			,     __lowerCamelCase			,     __lowerCamelCase		)

												_lowerCAmelCase  						=			(left + right) // 3 + 1
												_lowerCAmelCase  						=			2 * (left + right) // 3 + 1

												if array[one_third] == target:
																		return one_third
												elif array[two_third] == target:
																		return two_third

												elif target < array[one_third]:
																		_lowerCAmelCase  						=			one_third - 1
												elif array[two_third] < target:
																		_lowerCAmelCase  						=			two_third + 1

												else:
																		_lowerCAmelCase  						=			one_third + 1
																		_lowerCAmelCase  						=			two_third - 1
						else:
												return -1


def A				(__lowerCamelCase				:int			,     __lowerCamelCase				:int			,     __lowerCamelCase				:list[int]			,     __lowerCamelCase				:int		):
						if left < right:
												if right - left < precision:
																		return lin_search(__lowerCamelCase			,     __lowerCamelCase			,     __lowerCamelCase			,     __lowerCamelCase		)
												_lowerCAmelCase  						=			(left + right) // 3 + 1
												_lowerCAmelCase  						=			2 * (left + right) // 3 + 1

												if array[one_third] == target:
																		return one_third
												elif array[two_third] == target:
																		return two_third

												elif target < array[one_third]:
																		return rec_ternary_search(__lowerCamelCase			,     one_third - 1			,     __lowerCamelCase			,     __lowerCamelCase		)
												elif array[two_third] < target:
																		return rec_ternary_search(two_third + 1			,     __lowerCamelCase			,     __lowerCamelCase			,     __lowerCamelCase		)
												else:
																		return rec_ternary_search(one_third + 1			,     two_third - 1			,     __lowerCamelCase			,     __lowerCamelCase		)
						else:
												return -1


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						_lowercase    =		input("""Enter numbers separated by comma:\n""").strip()
						_lowercase    =		[int(item.strip()) for item in user_input.split(""",""")]
						assert collection == sorted(collection), F"List must be ordered.\n{collection}."
						_lowercase    =		int(input("""Enter the number to be found in the list:\n""").strip())
						_lowercase    =		ite_ternary_search(collection, target)
						_lowercase    =		rec_ternary_search(0, len(collection) - 1, collection, target)
						if resulta != -1:
												print(F"""Iterative search: {target} found at positions: {resulta}""")
												print(F"""Recursive search: {target} found at positions: {resulta}""")
						else:
												print("""Not found""")


'''simple docstring'''



import numpy as np
import qiskit


def A				(__lowerCamelCase				:int = 8			,     __lowerCamelCase				:int | None = None		):
						_lowerCAmelCase  						=			np.random.default_rng(seed=__lowerCamelCase		)

						# 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=__lowerCamelCase		)
						# The set of states Alice will prepare.
						_lowerCAmelCase  						=			rng.integers(2			,     size=__lowerCamelCase		)
						# Measurement basis for Bob's qubits.
						_lowerCAmelCase  						=			rng.integers(2			,     size=__lowerCamelCase		)

						# Quantum Circuit to simulate BB84
						_lowerCAmelCase  						=			qiskit.QuantumCircuit(__lowerCamelCase			,     name="""BB84"""		)

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

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

						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(__lowerCamelCase			,     __lowerCamelCase			,     shots=1			,     seed_simulator=__lowerCamelCase		)
						# Returns the result of measurement.
						_lowerCAmelCase  						=			job.result().get_counts(__lowerCamelCase		).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(
						            __lowerCamelCase			,     __lowerCamelCase			,     __lowerCamelCase		)
						        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(__lowerCamelCase		) >= key_len else gen_key.ljust(__lowerCamelCase			,     """0"""		)
						return key


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

						testmod()
