$5.$ SSU$2$FS inode structure contains $12$ direct pointers, $1$ single indirect pointer, $1$ double indirect pointer, and $1$ triple indirect pointer, the access or modification time in the inode is not tracked by the file system, the file system does not perform journaling, each pointer is $32$ bits, and the file system block size is $4$ KB $.$ Assuming that SSU$2$FS is stored on a disk with seek time $\backslash (=4\backslash$mathrm$\{$~ms$\}\backslash ),$ rotational delay $\backslash (=4\backslash$mathrm$\{$~ms$\}\backslash ),$ and block transfer time $=0\mathrm{.}1$ ms $$ Note : $\backslash (1\backslash$mathrm$\{$~KB$\}=1024\backslash )$ bytes, $\backslash (1\backslash$mathrm$\{$MB$\}=\backslash )\backslash (1024\backslash$mathrm$\{$~KB$\},1\backslash$mathrm$\{$~GB$\}=1024\backslash$mathrm$\{$MB$\}\backslash )),$ calculate how many blocks of each type shown below are created or updated when a new $4$ GB file is created in the root directory of SSUFS. Assume that files are stored contiguously on the disk. You can answer in simple form or in power of $2$ form.