Consider the function f $($x$,$ y$)=10$x$420$x$2$y $+$ x$2+10$y$22$x $+1.$ Write a python code to find a stationary point of this function using gradient descent where the step size $\backslash$alpha is chosen using Armijos Rule $.$

Deliverables: The handwritten code used to find the minimum by Armijo$$s Rule enabled gradient descent. The first $10$ iterates of the gradient de$-$ scent algorithm where the individual iterates of x$,$ y$,\backslash$alpha $,$ f $($x$,$ y$)$ should be d$=$written $($the output of the code$)$ separately to show the progress of gra$-$ dient descent scheme. Also mention the optimal points x$,$ y$$ and f $($x$,$ y$)$ obtained by the converged algorithm and all the parameters chosen in the Armijo$$s Rule.