Problem $2$: $35$ points $($similar$,$ but not identical to book problem book $4\mathrm{.}6)$:

Suppose that Alice$$s RSA public key is $($N$,$e$)=(33,3)$ and her private key is d$=7.$

$1.$ If Bob encrypts the message M $=17$ using Alice$$s public key

a$.$ what is the ciphertext C$?$

b$.$ Show that Alice can decrypt C to obtain M