Use RSA algorithm with p $=7,$ q $=11$ :

a$)$ Find Alice private and public keys.

b$)$ Encrypt the message m to be send to Alice, where m is the two rightmost digits of your ID$.$

Example ID$=202320455,$ then m$=55.$

You should solve the question as discussed in the lectures, solve exponent modular using the method that was used$$in$$the$$lecture$.$