

import qiskit

def 	snake_case__			(    SCREAMING_SNAKE_CASE_		:    int = 2			):



     '''simple docstring'''





     lowercase__    :   Optional[int]      =       qubits

     # Using Aer's simulator
     lowercase__    :   List[str]      =       qiskit.Aer.get_backend('aer_simulator'			)

     # Creating a Quantum Circuit acting on the q register
     lowercase__    :   List[str]      =       qiskit.QuantumCircuit(SCREAMING_SNAKE_CASE_	,     SCREAMING_SNAKE_CASE_			)

     # Adding a H gate on qubit 0 (now q0 in superposition)
     circuit.h(0			)

     for i in range(1	,     SCREAMING_SNAKE_CASE_			):
          # Adding CX (CNOT) gate
          circuit.cx(i - 1	,     SCREAMING_SNAKE_CASE_			)

     # Mapping the quantum measurement to the classical bits
     circuit.measure(list(range(SCREAMING_SNAKE_CASE_			)			)	,     list(range(SCREAMING_SNAKE_CASE_			)			)			)

     # Now measuring any one qubit would affect other qubits to collapse
     # their super position and have same state as the measured one.

     # Executing the circuit on the simulator
     lowercase__    :   Any      =       qiskit.execute(SCREAMING_SNAKE_CASE_	,     SCREAMING_SNAKE_CASE_	,     shots=1_000			)

     return job.result().get_counts(SCREAMING_SNAKE_CASE_			)


if __name__ == "__main__":
       print(F'''Total count for various states are: {quantum_entanglement(3)}''')




import math

def 	snake_case__			(    SCREAMING_SNAKE_CASE_		:    int			):



     '''simple docstring'''





     lowercase__    :   Optional[Any]      =       []
     lowercase__    :   str      =       2
     lowercase__    :   Optional[Any]      =       int(math.sqrt(SCREAMING_SNAKE_CASE_			)			)  # Size of every segment
     lowercase__    :   Dict      =       [True] * (end + 1)
     lowercase__    :   Union[str, Any]      =       []

     while start <= end:
          if temp[start] is True:
               in_prime.append(SCREAMING_SNAKE_CASE_			)
               for i in range(start * start	,     end + 1	,     SCREAMING_SNAKE_CASE_			):
                    lowercase__    :   int      =       False
          start += 1
     prime += in_prime

     lowercase__    :   Optional[int]      =       end + 1
     lowercase__    :   List[str]      =       min(2 * end	,     SCREAMING_SNAKE_CASE_			)

     while low <= n:
          lowercase__    :   str      =       [True] * (high - low + 1)
          for each in in_prime:
               lowercase__    :   str      =       math.floor(low / each			) * each
               if t < low:
                    t += each

               for j in range(SCREAMING_SNAKE_CASE_	,     high + 1	,     SCREAMING_SNAKE_CASE_			):
                    lowercase__    :   Optional[Any]      =       False

          for j in range(len(SCREAMING_SNAKE_CASE_			)			):
               if temp[j] is True:
                    prime.append(j + low			)

          lowercase__    :   Optional[Any]      =       high + 1
          lowercase__    :   Optional[int]      =       min(high + end	,     SCREAMING_SNAKE_CASE_			)

     return prime

print(sieve(10**6))

