code: 
  
  
  
  
  
  
  """simple docstring"""
  import math
  from collections.abc import Generator
  
  
  def        A	(							__snake_case:   Optional[Any]     )						->		str:
  
         """simple docstring"""
  
  
  
  
  
         __magic_name__										=						(i for i in range(1   ,    (max_n + 1)     ))
         for i in (n for n in numbers if n > 1):
                for j in range(2   ,    UpperCamelCase__     ):
                       if (i % j) == 0:
                              break
                else:
                       yield i
  
  
  def        A	(							__snake_case:   Optional[Any]     )						->		Any:
  
         """simple docstring"""
  
  
  
  
  
         __magic_name__										=						(i for i in range(1   ,    (max_n + 1)     ))
         for i in (n for n in numbers if n > 1):
                # only need to check for factors up to sqrt(i)
                __magic_name__										=						int(math.sqrt(UpperCamelCase__     )     ) + 1
                for j in range(2   ,    UpperCamelCase__     ):
                       if (i % j) == 0:
                              break
                else:
                       yield i
  
  
  def        A	(							__snake_case:   str     )						->		List[str]:
  
         """simple docstring"""
  
  
  
  
  
         __magic_name__										=						(i for i in range(1   ,    (max_n + 1)   ,    2     ))
         # It's useless to test even numbers as they will not be prime
         if max_n > 2:
                yield 2  # Because 2 will not be tested, it's necessary to yield it now
         for i in (n for n in numbers if n > 1):
                __magic_name__										=						int(math.sqrt(UpperCamelCase__     )     ) + 1
                for j in range(3   ,    UpperCamelCase__   ,    2     ):
                       # As we removed the even numbers, we don't need them now
                       if (i % j) == 0:
                              break
                else:
                       yield i
  
  
  def        A	(							)						->		Dict:
  
         """simple docstring"""
  
  
  
  
  
         from timeit import timeit
  
         __magic_name__										=						'from __main__ import slow_primes, primes, fast_primes'
         print(timeit('slow_primes(1_000_000_000_000)'   ,    setup=UpperCamelCase__   ,    number=1_0_0_0_0_0_0     )     )
         print(timeit('primes(1_000_000_000_000)'   ,    setup=UpperCamelCase__   ,    number=1_0_0_0_0_0_0     )     )
         print(timeit('fast_primes(1_000_000_000_000)'   ,    setup=UpperCamelCase__   ,    number=1_0_0_0_0_0_0     )     )
  
  
  if __name__ == "__main__":
        snake_case   :   Dict    		=		int(input("""Calculate primes up to:\n>> """).strip())
        for ret in primes(number):
              print(ret)
        benchmark()
style_context: 
  
  
  
  
  
  
  """simple docstring"""
  import numpy as np
  import qiskit
  
  
  def        A	(							__snake_case:   str   ,    __snake_case:   int     )						->		qiskit.QuantumCircuit:
  
         """simple docstring"""
  
  
  
  
  
         __magic_name__										=						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:
                __magic_name__										=						np.random.randint(1   ,    2**num_qubits     )
                # Next, format 'b' as a binary string of length 'n', padded with zeros:
                __magic_name__										=						format(__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(__snake_case     ):
                       if bit == "1":
                              oracle_qc.x(__snake_case     )
          # Do the controlled-NOT gates for each qubit, using the output qubit
          # as the target:
                for index in range(__snake_case     ):
                       oracle_qc.cx(__snake_case   ,    __snake_case     )
                # Next, place the final X-gates
                for index, bit in enumerate(__snake_case     ):
                       if bit == "1":
                              oracle_qc.x(__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)
                __magic_name__										=						np.random.randint(2     )
                if output == 1:
                       oracle_qc.x(__snake_case     )
  
         __magic_name__										=						oracle_qc.to_gate()
         __magic_name__										=						'Oracle'  # To show when we display the circuit
         return oracle_gate
  
  
  def        A	(							__snake_case:   qiskit.QuantumCircuit   ,    __snake_case:   int     )						->		qiskit.QuantumCircuit:
  
         """simple docstring"""
  
  
  
  
  
         __magic_name__										=						qiskit.QuantumCircuit(num_qubits + 1   ,    __snake_case     )
         # Set up the output qubit:
         dj_circuit.x(__snake_case     )
         dj_circuit.h(__snake_case     )
         # And set up the input register:
         for qubit in range(__snake_case     ):
                dj_circuit.h(__snake_case     )
         # Let's append the oracle gate to our circuit:
         dj_circuit.append(__snake_case   ,    range(num_qubits + 1     )     )
         # Finally, perform the H-gates again and measure:
         for qubit in range(__snake_case     ):
                dj_circuit.h(__snake_case     )
  
         for i in range(__snake_case     ):
                dj_circuit.measure(__snake_case   ,    __snake_case     )
  
         return dj_circuit
  
  
  def        A	(							__snake_case:   str   ,    __snake_case:   int     )						->		qiskit.result.counts.Counts:
  
         """simple docstring"""
  
  
  
  
  
         __magic_name__										=						qiskit.Aer.get_backend('aer_simulator'     )
  
         __magic_name__										=						dj_oracle(__snake_case   ,    __snake_case     )
         __magic_name__										=						dj_algorithm(__snake_case   ,    __snake_case     )
  
         # Execute the circuit on the simulator
         __magic_name__										=						qiskit.execute(__snake_case   ,    __snake_case   ,    shots=1_0_0_0     )
  
         # Return the histogram data of the results of the experiment.
         return job.result().get_counts(__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)}""")