Consider a file of $16384$ records. Each record is $32\;\text{bytes}$ long and its key field is of size $6\;\text{bytes}$. The file is ordered on a non-key field, and the file organization is unspanned. The file is stored in a file system with block size $1024\;\text{bytes}$, and the size of a block pointer is $10\;\text{bytes}$. If the secondary index is built on the key field of the file, and a multi-level index scheme is used to store the secondary index, the number of first-level and second-level blocks in the multi-level index are respectively
- $8$ and $0$
- $128$ and $6$
- $256$ and $4$
- $512$ and $5$