Alice received the following ciphertext from Bob, $"08010805".$ Bob had encrypted it using the RSA cypher with Alice's public key

$($pq$,$ e$)=(55,3),$

where

p $=5$

and

q $=11.$

Note that

$($p $1)($q $1)=40.$

The value for d in Alice's private key,

$($pq$,$ d$)$

is a positive inverse for

$3$ modulo $($p $1)($q $1).$

It was found to be $27$ in Examples $8\mathrm{.}4\mathrm{.}8($b$)$ and $8\mathrm{.}4\mathrm{.}10.$ What is Bob's message after Alice decrypts it$?($Assume Bob encoded one letter at a time using the encoding

A $=01,$ B $=02,$ C $=03,,$ Z $=26.)$

To decrypt Bob's message, Alice uses the decryption formula