Assume a disk is portioned into $64$ blocks each of size $2$KB$.$ The data region, which will hold user data is a fixed portion of these blocks, say the last $56$ of $64$ blocks.

Blocks $3$ to $7$ are for iNode table, which simply holds an array of on$-$disk iNodes.

Blocks $1$ and $2$ are for the bit maps of iNodes and data blocks, respectively.

Block $0$ is to contain info about this file system, including, for example, how many iNodes and data blocks are in the file system, where the iNode table begins, and so forth.

Assuming $512$ bytes per iNode and one iNode per file, what is the maximum number of files that the disk can have?