$3.$ In an RSA cryptosystem, you are given the following parameters:

p $=17,$ q $=19,$ and a specific integer used for encryption

a$)$ Determine the integer utilized for decryption. $(0\mathrm{.}5)$

b$)$ Enumerate the components of the public and private key pairs. $(0\mathrm{.}5)$

You need to encrypt the plaintext message, M $=$ RSA.

c$)$ Transform this message into its corresponding numerical representation based on the ASCII table. $(0\mathrm{.}5)$

To encrypt this message, you have the option to either amalgamate the numerical values or partition them into blocks of $2$ digits $($Hint: ensure that the condition M $<$ n is satisfied$).$

d$)$ Apply the encryption and decryption processes to the message RSA. $($l$)$

e$)$ If the ciphertext's decimal representation $($not its character equivalent$)$ is $2190236,$ perform the decryption process on this value and transform the result into its corresponding message format according to the ASCII table. $(0\mathrm{.}5)$