

'''simple docstring'''
import numpy as np
import qiskit







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

    # 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)
						_lowercase    :   Optional[int]      =     np.random.randint(2  )
						if output == 1:
									oracle_qc.x(UpperCamelCase__  )

			_lowercase    :   int      =     oracle_qc.to_gate()
			_lowercase    :   int      =     "Oracle"  # To show when we display the circuit
			return oracle_gate







def       _A	(			snake_case	,							snake_case  )    ->			Any:
			_lowercase    :   str      =     qiskit.QuantumCircuit(num_qubits + 1	,							UpperCamelCase__  )
			# Set up the output qubit:
			dj_circuit.x(UpperCamelCase__  )
			dj_circuit.h(UpperCamelCase__  )
			# And set up the input register:
			for qubit in range(UpperCamelCase__  ):
						dj_circuit.h(UpperCamelCase__  )
			# Let's append the oracle gate to our circuit:
			dj_circuit.append(UpperCamelCase__	,							range(num_qubits + 1  )  )
			# Finally, perform the H-gates again and measure:
			for qubit in range(UpperCamelCase__  ):
						dj_circuit.h(UpperCamelCase__  )

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

			return dj_circuit







def       _A	(			snake_case	,							snake_case  )    ->			Union[str, Any]:
			_lowercase    :   Tuple      =     qiskit.Aer.get_backend("aer_simulator"  )

			_lowercase    :   Union[str, Any]      =     dj_oracle(UpperCamelCase__	,							UpperCamelCase__  )
			_lowercase    :   Optional[Any]      =     dj_algorithm(UpperCamelCase__	,							UpperCamelCase__  )

			# Execute the circuit on the simulator
			_lowercase    :   Any      =     qiskit.execute(UpperCamelCase__	,							UpperCamelCase__	,							shots=10_00  )

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


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'''
class      a__						:


   def __init__(				self    ,       _UpperCamelCase						):





      """simple docstring"""





      _lowercase    :   Tuple      =     data
      _lowercase    :   int
      _lowercase    :   Node







def       _A	(			snake_case  )    ->			None:
   _lowercase    :   Any      =     0
   _lowercase    :   str      =     x







def       _A	(			snake_case	,							snake_case  )    ->			None:
   _lowercase  ,   _lowercase    :   Any      =     find_set(snake_case  ), find_set(snake_case  )
   if x == y:
      return

   elif x.rank > y.rank:
      _lowercase    :   Dict      =     x
   else:
      _lowercase    :   Optional[int]      =     y
      if x.rank == y.rank:
         y.rank += 1







def       _A	(			snake_case  )    ->			Node:
   if x != x.parent:
      _lowercase    :   Optional[int]      =     find_set(x.parent  )
   return x.parent







def       _A	(			snake_case  )    ->			set:
   _lowercase    :   Any      =     ({0, 1, 2}, {3, 4, 5})
   for s in sets:
      if node.data in s:
         return s
   _lowercase    :   List[Any]      =     F'''{node.data} is not in {sets}'''
   raise ValueError(snake_case  )







def       _A	(			)    ->			None:
   _lowercase    :   Union[str, Any]      =     [Node(snake_case  ) for i in range(6  )]
   for v in vertex:
      make_set(snake_case  )

   union_set(vertex[0]	,							vertex[1]  )
   union_set(vertex[1]	,							vertex[2]  )
   union_set(vertex[3]	,							vertex[4]  )
   union_set(vertex[3]	,							vertex[5]  )

   for nodea in vertex:
      for nodea in vertex:
         if find_python_set(snake_case  ).isdisjoint(find_python_set(snake_case  )  ):
            assert find_set(snake_case  ) != find_set(snake_case  )
         else:
            assert find_set(snake_case  ) == find_set(snake_case  )


if __name__ == "__main__":
    test_disjoint_set()






