


'''simple docstring'''






from __future__ import annotations

__UpperCAmelCase					       =							[]


def       _snake_case     (  A				,					A				,					A )		->					bool:
							for i in range(len(A ) ):
														if board[row][i] == 1:
																					return False
							for i in range(len(A ) ):
														if board[i][column] == 1:
																					return False
							for i, j in zip(range(A				,					-1				,					-1 )				,					range(A				,					-1				,					-1 ) ):
														if board[i][j] == 1:
																					return False
							for i, j in zip(range(A				,					-1				,					-1 )				,					range(A				,					len(A ) ) ):
														if board[i][j] == 1:
																					return False
							return True


def       _snake_case     (  A				,					A )		->					bool:
							if row >= len(A ):
														solution.append(A )
														printboard(A )
														print()
														return True
							for i in range(len(A ) ):
														if is_safe(A				,					A				,					A ):
																					lowerCAmelCase__      =			1
																					solve(A				,					row + 1 )
																					lowerCAmelCase__      =			0
							return False


def       _snake_case     (  A )		->					None:
							for i in range(len(A ) ):
														for j in range(len(A ) ):
																					if board[i][j] == 1:
																												print('''Q'''				,					end=''' ''' )
																					else:
																												print('''.'''				,					end=''' ''' )
														print()


# n=int(input("The no. of queens"))
__UpperCAmelCase					       =							8
__UpperCAmelCase					       =							[[0 for i in range(n)] for j in range(n)]
solve(board, 0)






print('''The total no. of solutions are :''', len(solution))



'''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()