






'''simple docstring'''





import numpy as np
import qiskit



def 			__UpperCAmelCase				(lowercase__	,lowercase__				)		->				Tuple:

						'''simple docstring'''


						a_				     =   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:
												a_				     =   np.random.randint(1	,2**num_qubits				)
												# Next, format 'b' as a binary string of length 'n', padded with zeros:
												a_				     =   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)
												a_				     =   np.random.randint(2				)
												if output == 1:
																		oracle_qc.x(lowerCAmelCase__				)

						a_				     =   oracle_qc.to_gate()
						a_				     =   'Oracle'  # To show when we display the circuit
						return oracle_gate



def 			__UpperCAmelCase				(lowercase__	,lowercase__				)		->				Union[str, Any]:

						'''simple docstring'''


						a_				     =   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 			__UpperCAmelCase				(lowercase__	,lowercase__				)		->				Dict:

						'''simple docstring'''


						a_				     =   qiskit.Aer.get_backend("aer_simulator"				)

						a_				     =   dj_oracle(lowerCAmelCase__	,lowerCAmelCase__				)
						a_				     =   dj_algorithm(lowerCAmelCase__	,lowerCAmelCase__				)

						# Execute the circuit on the simulator
						a_				     =   qiskit.execute(lowerCAmelCase__	,lowerCAmelCase__	,shots=1000				)

						# 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)}')











'''simple docstring'''





from __future__ import annotations





class 		SCREAMING_SNAKE_CASE__   :



		def __init__(    self:    List[str]				,   a:    int = 0)  ->None:






								'''simple docstring'''


								a_				     =   value
								a_				     =   None
								a_				     =   None





def 			__UpperCAmelCase				(lowercase__	,lowercase__				)		->				Node | None:

						'''simple docstring'''


						if treea is None:
												return treea
						if treea is None:
												return treea

						a_				     =   treea.value + treea.value
						a_				     =   merge_two_binary_trees(treea.left	,treea.left				)
						a_				     =   merge_two_binary_trees(treea.right	,treea.right				)
						return treea



def 			__UpperCAmelCase				(lowercase__				)		->				None:

						'''simple docstring'''


						if root:
												print(root.value				)
												print_preorder(root.left				)
												print_preorder(root.right				)


if __name__ == "__main__":
							a_      = Node(1)
							a_      = Node(2)
							a_      = Node(3)
							a_      = Node(4)

							a_      = Node(2)
							a_      = Node(4)
							a_      = Node(6)
							a_      = Node(9)
							a_      = Node(5)

							print('Tree1 is: ')
							print_preorder(treea)
							print('Tree2 is: ')
							print_preorder(treea)
							a_      = merge_two_binary_trees(treea, treea)
							print('Merged Tree is: ')
							print_preorder(merged_tree)



