

"""simple docstring"""




import numpy as np
import qiskit
def   __SCREAMING_SNAKE_CASE		(		lowercase__     ,				lowercase__ ):
					"""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(lowercase__     ,				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(lowercase__ ):
															if bit == "1":
																				oracle_qc.x(lowercase__ )
        # Do the controlled-NOT gates for each qubit, using the output qubit
        # as the target:
										for index in range(lowercase__ ):
															oracle_qc.cx(lowercase__     ,				lowercase__ )
										# Next, place the final X-gates
										for index, bit in enumerate(lowercase__ ):
															if bit == "1":
																				oracle_qc.x(lowercase__ )

    # 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(lowercase__ )

					A     =   oracle_qc.to_gate()
					A     =   "Oracle"  # To show when we display the circuit
					return oracle_gate
def   __SCREAMING_SNAKE_CASE		(		lowercase__     ,				lowercase__ ):
					"""simple docstring"""
					A     =   qiskit.QuantumCircuit(num_qubits + 1     ,				lowercase__ )
					# Set up the output qubit:
					dj_circuit.x(lowercase__ )
					dj_circuit.h(lowercase__ )
					# And set up the input register:
					for qubit in range(lowercase__ ):
										dj_circuit.h(lowercase__ )
					# Let's append the oracle gate to our circuit:
					dj_circuit.append(lowercase__     ,				range(num_qubits + 1 ) )
					# Finally, perform the H-gates again and measure:
					for qubit in range(lowercase__ ):
										dj_circuit.h(lowercase__ )

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

					return dj_circuit
def   __SCREAMING_SNAKE_CASE		(		lowercase__     ,				lowercase__ ):
					"""simple docstring"""
					A     =   qiskit.Aer.get_backend("aer_simulator" )

					A     =   dj_oracle(lowercase__     ,				lowercase__ )
					A     =   dj_algorithm(lowercase__     ,				lowercase__ )

					# Execute the circuit on the simulator
					A     =   qiskit.execute(lowercase__     ,				lowercase__     ,				shots=1_000 )

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


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"""




import sys

sys.set_int_max_str_digits(0)  # type: ignore
def   __SCREAMING_SNAKE_CASE		(		lowercase__ ):
					"""simple docstring"""
					A     =   [0] * 11
					A     =   [0] * 11

					# mark last 9 numbers
					for _ in range(9 ):
										A     =   1
										A     =   number // 10
					# flag
					A     =   True

					# check last 9 numbers for pandigitality

					for x in range(9 ):
										if not check_last[x + 1]:
															A     =   False
					if not f:
										return f

					# mark first 9 numbers
					A     =   int(str(lowercase__ )[:9] )

					for _ in range(9 ):
										A     =   1
										A     =   number // 10

					# check first 9 numbers for pandigitality

					for x in range(9 ):
										if not check_front[x + 1]:
															A     =   False
					return f
def   __SCREAMING_SNAKE_CASE		(		lowercase__ ):
					"""simple docstring"""
					A     =   [0] * 11

					# mark last 9 numbers
					for _ in range(9 ):
										A     =   1
										A     =   number // 10
					# flag
					A     =   True

					# check last 9 numbers for pandigitality

					for x in range(9 ):
										if not check_last[x + 1]:
															A     =   False
					return f
def   __SCREAMING_SNAKE_CASE		(		):
					"""simple docstring"""
					A     =   1
					A     =   1
					A     =   2
					# temporary Fibonacci numbers

					A     =   1
					A     =   1
					A     =   2
					# temporary Fibonacci numbers mod 1e9

					# mod m=1e9, done for fast optimisation
					A     =   [0] * 1_000_000
					A     =   1_000_000_000

					for x in range(1_000_000 ):
										A     =   (aa + ba) % m
										A     =   ba % m
										A     =   ca % m
										if checka(lowercase__ ):
															A     =   1

					for x in range(1_000_000 ):
										A     =   a + b
										A     =   b
										A     =   c
										# perform check only if in tocheck
										if tocheck[x + 3] and check(lowercase__ ):
															return x + 3  # first 2 already done
					return -1


if __name__ == "__main__":
	print(f"""{solution() = }""")





