




'''simple docstring'''





import math


def   UpperCamelCase_(			snake_case							: Dict  ):

       '''simple docstring'''






       snake_case_			      =   0
       if n % 2 == 0:
              count += 1
              while n % 2 == 0:
                     snake_case_			      =   int(n / 2  )
    # the n input value must be odd so that
    # we can skip one element (ie i += 2)

       snake_case_			      =   3

       while i <= int(math.sqrt(snake_case  )  ):
              if n % i == 0:
                     count += 1
                     while n % i == 0:
                            snake_case_			      =   int(n / i  )
              snake_case_			      =   i + 2

       # this condition checks the prime
       # number n is greater than 2

       if n > 2:
              count += 1
       return count


if __name__ == "__main__":
  _SCREAMING_SNAKE_CASE							:     Optional[int]   	=				5124_2183
  print(F"The number of distinct prime factors is/are {exact_prime_factor_count(n)}")
  print(F"The value of log(log(n)) is {math.log(math.log(n)):.4f}")










'''simple docstring'''





import qiskit
from qiskit.providers import Backend


def   UpperCamelCase_(			snake_case							: int							,       snake_case							: int  ):

							'''simple docstring'''






							snake_case_      ,   snake_case_			      =   bin(snake_case  )[2:], bin(snake_case  )[2:]  # Remove leading '0b'

							# Ensure that both strings are of the same length
							if len(snake_case  ) > len(snake_case  ):
														snake_case_			      =   y.zfill(len(snake_case  )  )
							else:
														snake_case_			      =   x.zfill(len(snake_case  )  )

							# We need (3 * number of bits in the larger number)+1 qBits
							# The second parameter is the number of classical registers, to measure the result
							snake_case_			      =   qiskit.QuantumCircuit((len(snake_case  ) * 3) + 1							,       len(snake_case  ) + 1  )

							# We are essentially "not-ing" the bits that are 1
							# Reversed because it's easier to perform ops on more significant bits
							for i in range(len(snake_case  )  ):
														if x[::-1][i] == "1":
																					circuit.x(snake_case  )
							for j in range(len(snake_case  )  ):
														if y[::-1][j] == "1":
																					circuit.x(len(snake_case  ) + j  )

							return circuit, x, y


def   UpperCamelCase_(			snake_case							: qiskit.QuantumCircuit							,       snake_case							: int							,       snake_case							: int							,       snake_case							: int							,       snake_case							: int							,       ):

							'''simple docstring'''






							circuit.ccx(snake_case							,       snake_case							,       snake_case  )
							circuit.cx(snake_case							,       snake_case  )
							circuit.ccx(snake_case							,       snake_case							,       snake_case  )
							circuit.cx(snake_case							,       snake_case  )
							circuit.cx(snake_case							,       snake_case  )


def   UpperCamelCase_(			snake_case							: int							,       snake_case							: int							,       snake_case							: Backend = qiskit.Aer.get_backend("aer_simulator"  )							,       ):

							'''simple docstring'''






							if vala < 0 or vala < 0:
														raise ValueError("Both Integers must be positive!"  )

							# Store the Integers
							snake_case_      ,   snake_case_      ,   snake_case_			      =   store_two_classics(snake_case							,       snake_case  )
							for i in range(len(snake_case  )  ):
														full_adder(snake_case							,       snake_case							,       len(snake_case  ) + i							,       len(snake_case  ) + len(snake_case  ) + i							,       len(snake_case  ) + len(snake_case  ) + i + 1  )
														circuit.barrier()  # Optional, just for aesthetics

							# Measure the resultant qBits
							for i in range(len(snake_case  ) + 1  ):
														circuit.measure([(len(snake_case  ) * 2) + i]							,       [i]  )

							snake_case_			      =   qiskit.execute(snake_case							,       snake_case							,       shots=1  ).result()

							# The result is in binary. Convert it back to int
							return int(list(res.get_counts()  )[0]							,       2  )


if __name__ == "__main__":
		import doctest

		doctest.testmod()




