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Suppose we have a multi-level index file system, and this file system has $512$ Bytes blocks, inodes with $3$ direct, $1$ single-indirect, $2$ double-indirect, and $1$ triple-indirect pointer, and $64$-bit block identifiers.

At a minimum size, how large does a file need to be before the relevant inode requires the first single-indirect block number be used?

  1. $1536$ Bytes
  2. $1537$ Bytes
  3. $512$ Bytes
  4. $1500$ Bytes
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