





"""simple docstring"""
from __future__ import annotations

from collections.abc import Callable

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    Callable[[int | float], int | float]  ,     _UpperCAmelCase					:    int | float  ,     _UpperCAmelCase					:    int | float  ,     _UpperCAmelCase					:    int = 100  ,     ):
 lowerCAmelCase    				= x_start
 lowerCAmelCase    				= fnc(__lowerCamelCase			)
 lowerCAmelCase    				= 0.0
 for _ in range(__lowerCamelCase			):
  # Approximates small segments of curve as linear and solve
  # for trapezoidal area
  lowerCAmelCase    				= (x_end - x_start) / steps + xa
  lowerCAmelCase    				= fnc(__lowerCamelCase			)
  area += abs(fxa + fxa			) * (xa - xa) / 2
  # Increment step
  lowerCAmelCase    				= xa
  lowerCAmelCase    				= fxa
 return area


if __name__ == "__main__":

       def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    Optional[Any]			):
        return x**3 + x**2

       print('''f(x) = x^3 + x^2''')
       print('''The area between the curve, x = -5, x = 5 and the x axis is:''')
       __UpperCamelCase     :						List[str]						       =  10
       while i <= 10_0000:
              print(f'''with {i} steps: {trapezoidal_area(f, -5, 5, i)}''')
              i *= 10







import qiskit


def      UpperCamelCase   (       __lowerCamelCase	:					int							,   __lowerCamelCase	:					int       ):
       snake_case			:  int     							= qiskit.Aer.get_backend("aer_simulator"       )

       # Create a Quantum Circuit acting on the q register
       snake_case			:  Dict     							= qiskit.QuantumCircuit(__lowerCamelCase							,   __lowerCamelCase       )

       # Apply X (NOT) Gate to Qubits 0 & 1
       circuit.x(0       )
       circuit.x(1       )

       # Map the quantum measurement to the classical bits
       circuit.measure([0, 1]							,   [0, 1]       )

       # Execute the circuit on the qasm simulator
       snake_case			:  Dict     							= qiskit.execute(__lowerCamelCase							,   __lowerCamelCase							,   shots=1000       )

       # Return the histogram data of the results of the experiment.
       return job.result().get_counts(__lowerCamelCase       )


if __name__ == "__main__":
   __lowerCamelCase				=			single_qubit_measure(2, 2)
   print(F'Total count for various states are: {counts}')





