Alice has crafted a message for Bob using a simple substitution cipher. The encrypted message,

segmented is "TNFOS FOZSW PZLOC GQAOZ WAGQR PJZPN ABCZP QDOGR AMTHA RAXTB

AGZJO GMTHA RAVAP ZW$",$ where spaces are not part of the original encryption and are added only

for convenience. Eve, who has intercepted the message, knows that the word "liberty" appears somewhere

in the plaintext.

$2$a$)$ Calculate the Size of the Key Space. Explain how the key space is calculated and its implications for

the cipher's security.

$2$b$)$ Given Eve's knowledge that the word "liberty" is in the plaintext, devise a strategy to decrypt the

message. This task requires analyzing the ciphertext, making educated guesses, and testing hypotheses

about the cipher's key. Your goal is to uncover the original message sent by Alice to Bob. You solve it manually.