



'''simple docstring'''
import qiskit






def A__       (	UpperCAmelCase_ = 2				):
						_UpperCamelCase   :						Optional[int]												=  qubits

						# Using Aer's simulator
						_UpperCamelCase   :						str												=  qiskit.Aer.get_backend('aer_simulator'				)

						# Creating a Quantum Circuit acting on the q register
						_UpperCamelCase   :						Any												=  qiskit.QuantumCircuit(_snake_case    ,    _snake_case				)

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

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

						# Mapping the quantum measurement to the classical bits
						circuit.measure(list(range(_snake_case				)				)    ,    list(range(_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
						_UpperCamelCase   :						List[Any]												=  qiskit.execute(_snake_case    ,    _snake_case    ,    shots=1_0_0_0				)

						return job.result().get_counts(_snake_case				)


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







'''simple docstring'''





from __future__ import annotations

import math




def 							lowerCamelCase	(					_snake_case	:    float  ,_snake_case	:    int							):





    '''simple docstring'''


    lowercase__									=    u
    for i in range(1  ,_snake_case							):
        lowercase__									=    temp * (u - i)
    return temp




def 							lowerCamelCase	(					):





    '''simple docstring'''


    lowercase__									=    int(input("enter the numbers of values: "							)							)
    lowercase__									=    []
    for _ in range(_snake_case							):
        y.append([]							)
    for i in range(_snake_case							):
        for j in range(_snake_case							):
            y[i].append(_snake_case							)
            lowercase__									=    0

    print("enter the values of parameters in a list: "							)
    lowercase__									=    list(map(_snake_case  ,input().split()							)							)

    print("enter the values of corresponding parameters: "							)
    for i in range(_snake_case							):
        lowercase__									=    float(input()							)

    lowercase__									=    int(input("enter the value to interpolate: "							)							)
    lowercase__									=    (value - x[0]) / (x[1] - x[0])

    # for calculating forward difference table

    for i in range(1  ,_snake_case							):
        for j in range(n - i							):
            lowercase__									=    y[j + 1][i - 1] - y[j][i - 1]

    lowercase__									=    y[0][0]
    for i in range(1  ,_snake_case							):
        summ += (ucal(_snake_case  ,_snake_case							) * y[0][i]) / math.factorial(_snake_case							)

    print(f'''the value at {value} is {summ}'''							)


if __name__ == "__main__":
 main()




