Memory Pool: $2048$ KB$,$ managed using a buddy allocation scheme.

Initial Block Status:

$-1024$ KB $($Free$)$

$-512$ KB $($Occupied$)$

$-256$ KB $($Free$)$

$-128$ KB $($Occupied$)$

$-64$ KB $($Free$)$

Incoming Process Requests $($KB$)$:

$-$ VM $1$: $300$ KB

$-$ VM $2$: $64$ KB $($Critical$)$

$-$ VM $3$: $128$ KB

$-$ VM $4$: $500$ KB $($Critical$)$

$-$ VM $5$: $100$ KB

Challenge: Evaluate how the buddy allocation system handles these requests, especially the critical VM Instance $4.$ Consider how block splitting and merging affect memory use and how coalescing and compaction could be applied after VMs are terminated.