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Alice and Bob are conducting Diffie-Hellman key exchange with the parameters \( p = 197 \) and \( \alpha = 2 \). Suppose Alice selects private key \( a = 187 \) and Bob selects private key \( b = 105 \).

a) What is Alice's public key?

b) What is Bob's public key?

c) What is the shared secret?

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