"""simple docstring"""




import numpy as np
import qiskit




def 				_snake_case     (       lowerCAmelCase							:       str       ,			lowerCAmelCase							:       int     ):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_  :		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:
				SCREAMING_SNAKE_CASE_  :		Dict    				=   np.random.randint(1       ,			2**num_qubits     )
				# Next, format 'b' as a binary string of length 'n', padded with zeros:
				SCREAMING_SNAKE_CASE_  :		Union[str, Any]    				=   format(lowerCAmelCase       ,			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(lowerCAmelCase     ):
						if bit == "1":
								oracle_qc.x(lowerCAmelCase     )
        # Do the controlled-NOT gates for each qubit, using the output qubit
        # as the target:
				for index in range(lowerCAmelCase     ):
						oracle_qc.cx(lowerCAmelCase       ,			lowerCAmelCase     )
				# Next, place the final X-gates
				for index, bit in enumerate(lowerCAmelCase     ):
						if bit == "1":
								oracle_qc.x(lowerCAmelCase     )

    # 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)
				SCREAMING_SNAKE_CASE_  :		Any    				=   np.random.randint(2     )
				if output == 1:
						oracle_qc.x(lowerCAmelCase     )

		SCREAMING_SNAKE_CASE_  :		Union[str, Any]    				=   oracle_qc.to_gate()
		SCREAMING_SNAKE_CASE_  :		Tuple    				=   "Oracle"  # To show when we display the circuit
		return oracle_gate




def 				_snake_case     (       lowerCAmelCase							:       qiskit.QuantumCircuit       ,			lowerCAmelCase							:       int     ):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_  :		List[str]    				=   qiskit.QuantumCircuit(num_qubits + 1       ,			lowerCAmelCase     )
		# Set up the output qubit:
		dj_circuit.x(lowerCAmelCase     )
		dj_circuit.h(lowerCAmelCase     )
		# And set up the input register:
		for qubit in range(lowerCAmelCase     ):
				dj_circuit.h(lowerCAmelCase     )
		# Let's append the oracle gate to our circuit:
		dj_circuit.append(lowerCAmelCase       ,			range(num_qubits + 1     )     )
		# Finally, perform the H-gates again and measure:
		for qubit in range(lowerCAmelCase     ):
				dj_circuit.h(lowerCAmelCase     )

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

		return dj_circuit




def 				_snake_case     (       lowerCAmelCase							:       str       ,			lowerCAmelCase							:       int     ):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_  :		List[Any]    				=   qiskit.Aer.get_backend("aer_simulator"     )

		SCREAMING_SNAKE_CASE_  :		Union[str, Any]    				=   dj_oracle(lowerCAmelCase       ,			lowerCAmelCase     )
		SCREAMING_SNAKE_CASE_  :		List[str]    				=   dj_algorithm(lowerCAmelCase       ,			lowerCAmelCase     )

		# Execute the circuit on the simulator
		SCREAMING_SNAKE_CASE_  :		List[Any]    				=   qiskit.execute(lowerCAmelCase       ,			lowerCAmelCase       ,			shots=1_0_0_0     )

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


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

from __future__ import annotations






class 		a__						:

					def __init__(   self				:	Union[str, Any],_A				:	int   ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		List[Any]    				=   value
							SCREAMING_SNAKE_CASE_  :		Node | None    				=   None
							SCREAMING_SNAKE_CASE_  :		Node | None    				=   None







class 		a__						:
					A     	=							42

					def __init__(   self				:	Optional[Any]   ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		List[str]    				=   0

					def     __UpperCamelCase       (   self				:	List[Any],_A				:	Node | None,_A				:	int   ):







							"""simple docstring"""






							if node is None:
									return

							if path_sum == self.target:
									self.paths += 1

							if node.left:
									self.depth_first_search(node.left,path_sum + node.left.value   )
							if node.right:
									self.depth_first_search(node.right,path_sum + node.right.value   )






					def     __UpperCamelCase       (   self				:	List[str],_A				:	Node | None,_A				:	int | None = None   ):







							"""simple docstring"""






							if node is None:
									return 0
							if target is not None:
									SCREAMING_SNAKE_CASE_  :		Union[str, Any]    				=   target

							self.depth_first_search(_A,node.value   )
							self.path_sum(node.left   )
							self.path_sum(node.right   )

							return self.paths


if __name__ == "__main__":
		import doctest

		doctest.testmod()
