Consider a hard disk with $16$ recording surfaces $(0-15)$ having $16384$ cylinders $(0-16383)$ and each cylinder contains $64$ sectors $(0-63).$ Data storage capacity in each sector is $512$ bytes. Data are organized cylinder-wise and the addressing format is <cylinder number, surface number, sector number>. A file of size $42797 \; \text{KB}$ is stored in the disk and the starting disk location of the file is $<1200, 9, 40>.$ What is the cylinder number of the last sector of the file, if it is stored in a contiguous manner?
- $1281$
- $1282$
- $1283$
- $1284$
