$1.$ Assume you are encryption plaintext in an alphabet that has $35$ letters, which we represent with the $0$ to $34.$ If we are going to encrypt a plaintext using the affine cipher, how many possible keys are there, that is$,$ what is the size of the key space?

$2.$ If an alphabet has $37$ letters, what is the size of the key space using the affine cipher?

The next two problems are based on this Vigen$$re ciphertext.

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