The python source file implements the gradient descent algorithm. You are expected to fill in the missing lines of code to get the algorithm to work as expected. The script takes no additional parameters.

There are four places where you need to add your lines of code. Your lines of code should go in$-$between the lines with the comment:

for the loss function given below:

L $=3$ x$2+2$ y$2+20$ cos$($x$)$ cos$($y$)$

Deliverables: A$)$ A screenshot of the $3$D plot obtained when you execute the python script after adding your lines of code. B$)$ A screenshot of the console output obtained obtained when you execute the python script after adding your lines of code. C$)$ The equations of the Loss function and gradient of loss function on which the gradient descent was performed. D$)$ A snapshot of the lines of code that was added by you in the designated places. E$)$ State whether the algorithm converged to the global minima, a local minima or if it failed to converge in your case.

import numpy as np

m $=$ int$($input$("$ Please enter the row value: $"))$

n $=$ int$($input$("$ Please enter the Col value: $"))$

def construct$\_$augmented$\_$matrix$($A$,$ b$)$:

return np$.$hstack$(($A$,$ b$))$

# Example usage

if m