A disk contains $100$ tracks numbered $0$ through $99.$The read$-$write $($r$/$w$)$ head is at track $53$ moving left. While using the elevator algorithm, the total distance covered by the r$/$w head is $\text{'}$a$\text{'}.$ Using the Shortest Seek Time First algorithm $($SSTF$),$ the r$/$w head will feverse direction $\text{'}$b$\text{'}$ times.

If the demand queue is $34,58,61,50,78,4,23,91,10,$ what is the value of $"$b$^2+3$a$-24"?$

Pick ONE option

$410$

$400$

$412$

None