Question: Let y = ax + b denote an affine cipher that encrypts a letter x in a plaintext into the letter y in the ciphertext.

Let y = ax + b denote an affine cipher that encrypts a letter x in a plaintext into the letter y in the ciphertext. Assume that if we encrypt a plaintext with the affine cipher twice then the resultant ciphertext is the same as the original plaintext. Find the encryption key (a, b).

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