Ques $4.[10$ marks$]$ Consider the RSA public key $(e,N$ with $e=5$ and $N=187.$ The

corresponding private key $(d,N)$ is known to be $(77,187).$ Using this information, perform RSA

encryption and decryption for a message M$.$

Encrypt the message $M=12$ using the RSA public key $(e,N).$

Show all the intermediate steps in the encryption and decryption processes, including modular

arithmetic calculations.