Suppose the DES mangler function $($or function F$)$ mapped every $32-$bit value to zero regardless of the value of its input. How does the output after Round $16$ of DES compare to the input at the start of Round $1$ of DES? Show your work and provide appropriate explanations. You may reference the Feistel encryption process diagram below for your analysis. Assuming the DES mangler function $($or function F$)$ mapped every $32-$bit value to zero regardless of the value of the input. How does the output after Round $16$ of DES compare to the input at the start of Round $1$ of DES? Show your work and explain how you arrived at your answer. You may reference the Feistel encryption process diagram for your analysis.