The ciphertext below is obtained using a shift $($Caesar$)$ cipher. Make sure to answer each question asked and explain your work.

ESP RCPLEPDE RWZCJ TY WTGTYR WTPD YZE TY YPGPC QLWWTYR$,$ MFE TY CTDTYR PGPCJ ETXP HP QLWW$.$

You will perform two types of attacks against the cipher based on a letter frequency count:

$1.$ Using letter frequency count:

a$.$ How many letters do you have to identify through a frequency count to recover the key? Briefly explain your answer.

b$.$ Break the cipher using letter frequency and explain your work

$2.$ Using brute$-$foce:

a$.$ How many keys are there in the keyspace? Briefly explain.

b$.$ Break the cipher using brute$-$force and explain your work