
import qiskit


def    A (      lowercase = 2				)     ->						qiskit.result.counts.Counts:
		'''simple docstring'''

		UpperCamelCase						=  qubits

		# Using Aer's simulator
		UpperCamelCase						=  qiskit.Aer.get_backend('aer_simulator'				)

		# Creating a Quantum Circuit acting on the q register
		UpperCamelCase						=  qiskit.QuantumCircuit(lowercase					, lowercase				)

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

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

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

		# 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
		UpperCamelCase						=  qiskit.execute(lowercase					, lowercase					, shots=1_000				)

		return job.result().get_counts(lowercase				)


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


from collections.abc import Callable


def    A (      lowercase					, lowercase					, lowercase				)     ->						float:
		'''simple docstring'''

		UpperCamelCase						=  a
		UpperCamelCase						=  b
		if function(lowercase				) == 0:  # one of the a or b is a root for the function
				return a
		elif function(lowercase				) == 0:
				return b
		elif (
		    function(lowercase				) * function(lowercase				) > 0
		):  # if none of these are root and they are both positive or negative,
				# then this algorithm can't find the root
				raise ValueError('could not find root in given interval.'				)
		else:
				UpperCamelCase						=  start + (end - start) / 2.0
				while abs(start - mid				) > 10**-7:  # until precisely equals to 10^-7
						if function(lowercase				) == 0:
								return mid
						elif function(lowercase				) * function(lowercase				) < 0:
								UpperCamelCase						=  mid
						else:
								UpperCamelCase						=  mid
						UpperCamelCase						=  start + (end - start) / 2.0
				return mid


def    A (      lowercase				)     ->						float:
		'''simple docstring'''

		return x**3 - 2 * x - 5


if __name__ == "__main__":
					print(bisection(f, 1, 1_000))

					import doctest

					doctest.testmod()
