





'''simple docstring'''







import numpy as np
import qiskit





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

    # 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)
												UpperCAmelCase_      :   int      =	np.random.randint(2 )
												if output == 1:
																		oracle_qc.x(SCREAMING_SNAKE_CASE__ )

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





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

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

						return dj_circuit





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      str,      SCREAMING_SNAKE_CASE__   :      int )			->						qiskit.result.counts.Counts:
						UpperCAmelCase_      :   Dict      =	qiskit.Aer.get_backend('''aer_simulator''' )

						UpperCAmelCase_      :   Dict      =	dj_oracle(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ )
						UpperCAmelCase_      :   Optional[Any]      =	dj_algorithm(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__ )

						# Execute the circuit on the simulator
						UpperCAmelCase_      :   Tuple      =	qiskit.execute(SCREAMING_SNAKE_CASE__,      SCREAMING_SNAKE_CASE__,      shots=1000 )

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


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

from collections.abc import Iterable, Iterator
from typing import Any, Generic, TypeVar

_lowerCamelCase         =	TypeVar("""T""", bound=bool)

class    _SCREAMING_SNAKE_CASE						(Generic[T]			):





     def __init__(							self			:				List[Any]  ,	UpperCamelCase			:				T					)->None:
      __SCREAMING_SNAKE_CASE							:     T							=						value
      __SCREAMING_SNAKE_CASE							:     SkewNode[T] | None							=						None
      __SCREAMING_SNAKE_CASE							:     SkewNode[T] | None							=						None





     @property
     def 						__snake_case     (							self			:				Dict					)->T:
      return self._value






     @staticmethod
     def 						__snake_case     (							UpperCamelCase			:				SkewNode[T] | None  ,	UpperCamelCase			:				SkewNode[T] | None					)->SkewNode[T] | None:
      if not roota:
       return roota

      if not roota:
       return roota

      if roota.value > roota.value:
       __SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE							:     List[Any]							=						roota, roota

      __SCREAMING_SNAKE_CASE							:     int							=						roota
      __SCREAMING_SNAKE_CASE							:     str							=						roota.right
      __SCREAMING_SNAKE_CASE							:     int							=						roota.left
      __SCREAMING_SNAKE_CASE							:     Optional[int]							=						SkewNode.merge(UpperCamelCase  ,	UpperCamelCase					)

      return result






class    _SCREAMING_SNAKE_CASE						(Generic[T]			):





     def __init__(							self			:				str  ,	UpperCamelCase			:				Iterable[T] | None = ()					)->None:
      __SCREAMING_SNAKE_CASE							:     SkewNode[T] | None							=						None
      if data:
       for item in data:
        self.insert(UpperCamelCase					)





     def __bool__(							self			:				str					)->bool:
      return self._root is not None





     def __iter__(							self			:				Any					)->Iterator[T]:
      __SCREAMING_SNAKE_CASE							:     list[Any]							=						[]
      while self:
       result.append(self.pop()					)

      # Pushing items back to the heap not to clear it.
      for item in result:
       self.insert(UpperCamelCase					)

      return iter(UpperCamelCase					)





     def 						__snake_case     (							self			:				List[Any]  ,	UpperCamelCase			:				T					)->None:
      __SCREAMING_SNAKE_CASE							:     str							=						SkewNode.merge(self._root  ,	SkewNode(UpperCamelCase					)					)





     def 						__snake_case     (							self			:				List[Any]					)->T | None:
      __SCREAMING_SNAKE_CASE							:     Any							=						self.top()
      __SCREAMING_SNAKE_CASE							:     List[Any]							=						(
          SkewNode.merge(self._root.left  ,	self._root.right					) if self._root else None
      )

      return result





     def 						__snake_case     (							self			:				Optional[int]					)->T:
      if not self._root:
       raise IndexError("Can't get top element for the empty heap."					)
      return self._root.value






     def 						__snake_case     (							self			:				Dict					)->None:
      __SCREAMING_SNAKE_CASE							:     Optional[Any]							=						None


if __name__ == "__main__":
      import doctest

      doctest.testmod()






