






"""simple docstring"""


import numpy as np
import qiskit



def    lowerCAmelCase							(       __UpperCamelCase						,			__UpperCamelCase					):




  """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(__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)
    __A		     =					np.random.randint(2					)
    if output == 1:
      oracle_qc.x(__UpperCamelCase					)

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



def    lowerCAmelCase							(       __UpperCamelCase						,			__UpperCamelCase					):




  """simple docstring"""







  __A		     =					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    lowerCAmelCase							(       __UpperCamelCase						,			__UpperCamelCase					):




  """simple docstring"""







  __A		     =					qiskit.Aer.get_backend('''aer_simulator'''					)

  __A		     =					dj_oracle(__UpperCamelCase						,			__UpperCamelCase					)
  __A		     =					dj_algorithm(__UpperCamelCase						,			__UpperCamelCase					)

  # Execute the circuit on the simulator
  __A		     =					qiskit.execute(__UpperCamelCase						,			__UpperCamelCase						,			shots=1_0_0_0					)

  # 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"""



def   _lowerCAmelCase		(				UpperCAmelCase__							:       float,    UpperCAmelCase__							:       float,    UpperCAmelCase__							:       float   )		->list[int]:
						if hue < 0 or hue > 3_6_0:
												raise Exception("""hue should be between 0 and 360"""   )

						if saturation < 0 or saturation > 1:
												raise Exception("""saturation should be between 0 and 1"""   )

						if value < 0 or value > 1:
												raise Exception("""value should be between 0 and 1"""   )

						A__    :	int			=	value * saturation
						A__    :	Any			=	hue / 6_0
						A__    :	Any			=	chroma * (1 - abs(hue_section % 2 - 1   ))
						A__    :	Optional[Any]			=	value - chroma

						if hue_section >= 0 and hue_section <= 1:
												A__    :	Dict			=	round(2_5_5 * (chroma + match_value)   )
												A__    :	Optional[Any]			=	round(2_5_5 * (second_largest_component + match_value)   )
												A__    :	Any			=	round(2_5_5 * (match_value)   )
						elif hue_section > 1 and hue_section <= 2:
												A__    :	Optional[int]			=	round(2_5_5 * (second_largest_component + match_value)   )
												A__    :	Union[str, Any]			=	round(2_5_5 * (chroma + match_value)   )
												A__    :	Union[str, Any]			=	round(2_5_5 * (match_value)   )
						elif hue_section > 2 and hue_section <= 3:
												A__    :	Tuple			=	round(2_5_5 * (match_value)   )
												A__    :	List[str]			=	round(2_5_5 * (chroma + match_value)   )
												A__    :	Union[str, Any]			=	round(2_5_5 * (second_largest_component + match_value)   )
						elif hue_section > 3 and hue_section <= 4:
												A__    :	Any			=	round(2_5_5 * (match_value)   )
												A__    :	Dict			=	round(2_5_5 * (second_largest_component + match_value)   )
												A__    :	List[Any]			=	round(2_5_5 * (chroma + match_value)   )
						elif hue_section > 4 and hue_section <= 5:
												A__    :	Any			=	round(2_5_5 * (second_largest_component + match_value)   )
												A__    :	Dict			=	round(2_5_5 * (match_value)   )
												A__    :	Tuple			=	round(2_5_5 * (chroma + match_value)   )
						else:
												A__    :	Tuple			=	round(2_5_5 * (chroma + match_value)   )
												A__    :	Optional[int]			=	round(2_5_5 * (match_value)   )
												A__    :	str			=	round(2_5_5 * (second_largest_component + match_value)   )

						return [red, green, blue]




def   _lowerCAmelCase		(				UpperCAmelCase__							:       int,    UpperCAmelCase__							:       int,    UpperCAmelCase__							:       int   )		->list[float]:
						if red < 0 or red > 2_5_5:
												raise Exception("""red should be between 0 and 255"""   )

						if green < 0 or green > 2_5_5:
												raise Exception("""green should be between 0 and 255"""   )

						if blue < 0 or blue > 2_5_5:
												raise Exception("""blue should be between 0 and 255"""   )

						A__    :	int			=	red / 2_5_5
						A__    :	List[str]			=	green / 2_5_5
						A__    :	Optional[int]			=	blue / 2_5_5
						A__    :	Optional[int]			=	max(UpperCAmelCase__,    UpperCAmelCase__,    UpperCAmelCase__   )
						A__    :	Tuple			=	value - min(UpperCAmelCase__,    UpperCAmelCase__,    UpperCAmelCase__   )
						A__    :	Any			=	0 if value == 0 else chroma / value

						if chroma == 0:
												A__    :	Optional[Any]			=	0.0
						elif value == float_red:
												A__    :	Optional[Any]			=	6_0 * (0 + (float_green - float_blue) / chroma)
						elif value == float_green:
												A__    :	Tuple			=	6_0 * (2 + (float_blue - float_red) / chroma)
						else:
												A__    :	int			=	6_0 * (4 + (float_red - float_green) / chroma)

						A__    :	Optional[int]			=	(hue + 3_6_0) % 3_6_0

						return [hue, saturation, value]




def   _lowerCAmelCase		(				UpperCAmelCase__							:       list[float],    UpperCAmelCase__							:       list[float]   )		->bool:
						A__    :	Optional[Any]			=	abs(hsv_a[0] - hsv_a[0]   ) < 0.2
						A__    :	str			=	abs(hsv_a[1] - hsv_a[1]   ) < 0.002
						A__    :	Optional[int]			=	abs(hsv_a[2] - hsv_a[2]   ) < 0.002

						return check_hue and check_saturation and check_value






