Consider a memory management system that allows overlays to accommodate processes that have larger overall memory requirements than can be allocated in one shot in the main memory. Let a process P be restricted to a total main memory of $512$KB at any time. In order to work with this restriction, let process P be structured as two overlays A and B$.$

Let the code specific to overlay A have a size of $180$KB$,$ let the data specific to overlay B have a size of $40$KB and let the common data across the two overlays be $80$KB in size.

Let X represent the size of the code common to both the overlays, Y represent the size of the code specific to overlay B$,$ and Z represent the size of the data specific to overlay A$.$ Which of the following $($X$,$Y$,$Z$)$ triples would allow process P to execute in the system?

Question $5$ options:

$(220$KB$,180$KB$,10$KB$)$

$(160$KB$,240$KB$,60$KB$)$

$(220$KB$,140$KB$,40$KB$)$

$(220$KB$,160$KB$,20$KB$)$