


import numpy as np
import qiskit
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:str   ,    lowercase__	:int					)							->	qiskit.QuantumCircuit:
						__magic_name__					:				Optional[Any]				=   qiskit.QuantumCircuit(num_qubits + 1					)

						# First, let's deal with the case in which oracle is balanced
						if case == "balanced":
												# First generate a random number that tells us which CNOTs to
												# wrap in X-gates:
												__magic_name__					:				List[str]				=   np.random.randint(1   ,    2**num_qubits					)
												# Next, format 'b' as a binary string of length 'n', padded with zeros:
												__magic_name__					:				str				=   format(lowercase__   ,    f"0{num_qubits}b"					)
												# Next, we place the first X-gates. Each digit in our binary string
												# corresponds to a qubit, if the digit is 0, we do nothing, if it's 1
												# we apply an X-gate to that qubit:
												for index, bit in enumerate(lowercase__					):
																		if bit == "1":
																								oracle_qc.x(lowercase__					)
        # Do the controlled-NOT gates for each qubit, using the output qubit
        # as the target:
												for index in range(lowercase__					):
																		oracle_qc.cx(lowercase__   ,    lowercase__					)
												# Next, place the final X-gates
												for index, bit in enumerate(lowercase__					):
																		if bit == "1":
																								oracle_qc.x(lowercase__					)

    # Case in which oracle is constant
						if case == "constant":
												# First decide what the fixed output of the oracle will be
												# (either always 0 or always 1)
												__magic_name__					:				Tuple				=   np.random.randint(2					)
												if output == 1:
																		oracle_qc.x(lowercase__					)

						__magic_name__					:				List[Any]				=   oracle_qc.to_gate()
						__magic_name__					:				Optional[Any]				=   'Oracle'  # To show when we display the circuit
						return oracle_gate
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:qiskit.QuantumCircuit   ,    lowercase__	:int					)							->	qiskit.QuantumCircuit:
						__magic_name__					:				Any				=   qiskit.QuantumCircuit(num_qubits + 1   ,    lowercase__					)
						# Set up the output qubit:
						dj_circuit.x(lowercase__					)
						dj_circuit.h(lowercase__					)
						# And set up the input register:
						for qubit in range(lowercase__					):
												dj_circuit.h(lowercase__					)
						# Let's append the oracle gate to our circuit:
						dj_circuit.append(lowercase__   ,    range(num_qubits + 1					)					)
						# Finally, perform the H-gates again and measure:
						for qubit in range(lowercase__					):
												dj_circuit.h(lowercase__					)

						for i in range(lowercase__					):
												dj_circuit.measure(lowercase__   ,    lowercase__					)

						return dj_circuit
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:str   ,    lowercase__	:int					)							->	qiskit.result.counts.Counts:
						__magic_name__					:				Optional[int]				=   qiskit.Aer.get_backend('aer_simulator'					)

						__magic_name__					:				Optional[int]				=   dj_oracle(lowercase__   ,    lowercase__					)
						__magic_name__					:				Optional[int]				=   dj_algorithm(lowercase__   ,    lowercase__					)

						# Execute the circuit on the simulator
						__magic_name__					:				Any				=   qiskit.execute(lowercase__   ,    lowercase__   ,    shots=1_0_0_0					)

						# Return the histogram data of the results of the experiment.
						return job.result().get_counts(lowercase__					)


if __name__ == "__main__":
			print(F"""Deutsch Jozsa - Constant Oracle: {deutsch_jozsa('constant', 3)}""")
			print(F"""Deutsch Jozsa - Balanced Oracle: {deutsch_jozsa('balanced', 3)}""")






import math
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	list:
						if n <= 0:
												raise ValueError('Only positive integers have prime factors'					)
						__magic_name__					:				Union[str, Any]				=   []
						while n % 2 == 0:
												pf.append(2					)
												__magic_name__					:				Union[str, Any]				=   int(n / 2					)
						for i in range(3   ,    int(math.sqrt(lowercase__					)					) + 1   ,    2					):
												while n % i == 0:
																		pf.append(lowercase__					)
																		__magic_name__					:				List[str]				=   int(n / i					)
						if n > 2:
												pf.append(lowercase__					)
						return pf
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	int:
						if n <= 0:
												raise ValueError('Only positive numbers are accepted'					)
						__magic_name__					:				Union[str, Any]				=   1
						__magic_name__					:				Tuple				=   1
						while n % 2 == 0:
												temp += 1
												__magic_name__					:				Any				=   int(n / 2					)
						div *= temp
						for i in range(3   ,    int(math.sqrt(lowercase__					)					) + 1   ,    2					):
												__magic_name__					:				List[Any]				=   1
												while n % i == 0:
																		temp += 1
																		__magic_name__					:				Any				=   int(n / i					)
												div *= temp
						if n > 1:
												div *= 2
						return div
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	int:
						if n <= 0:
												raise ValueError('Only positive numbers are accepted'					)
						__magic_name__					:				int				=   1
						__magic_name__					:				List[str]				=   1
						while n % 2 == 0:
												temp += 1
												__magic_name__					:				List[Any]				=   int(n / 2					)
						if temp > 1:
												s *= (2**temp - 1) / (2 - 1)
						for i in range(3   ,    int(math.sqrt(lowercase__					)					) + 1   ,    2					):
												__magic_name__					:				int				=   1
												while n % i == 0:
																		temp += 1
																		__magic_name__					:				Optional[Any]				=   int(n / i					)
												if temp > 1:
																		s *= (i**temp - 1) / (i - 1)
						return int(lowercase__					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	int:
						__magic_name__					:				Dict				=   n
						for x in set(prime_factors(lowercase__					)					):
												s *= (x - 1) / x
						return int(lowercase__					)


if __name__ == "__main__":
			import doctest

			doctest.testmod()


