Design, train, and optimize a generic neural network $($NN$)$ that can learn and predict the power$-$function for a given power parameter, you can assume for simplicity that the constant multiplier a $=1.$ Assess the accuracy of the NN prediction of the power function. Your program should start by taking an input from the user specifying the desired power parameter. Then, the program should generate training and testing data $($X and Y$),$ and finally, evaluate the performance of the trained NN model. $[$Hint: Recall the example with the square$-$root function$]$