$(20$p$)$ Write a Matlab$/$Octave script that takes $n$ as input and print the following pattern.

For example:

If $n$ is $5,$ the following pattern will be printed.

$1^{**}$

${121}^{****}$

${12321}^{******}$

${1234321}^{********}$

${123454321}^{*****}$

${1234321}^{********}$

${12321}^{******}$

${121}^{****}$

$1^{**}$

If $n$ is $3,$ the following pattern will be printed.

$1^{**}$

${121}^{**}$

${12321}^{***}$

${121}^{**}$