In practice, it is sometimes desirable that both communication parties influence the selection of the session key. For instance, this prevents the other party from choosing a key which is a weak key for a symmetric algorithm. Many block ciphers such as DES and IDEA have weak keys. Messages encrypted with weak keys can be recovered relatively easily from the ciphertext. Develop a protocol similar to the one above in which both parties influence the key. Assume that both Alice and Bob have a pair of public/private keys for the RSA cryptosystem. Please note that there are several valid approaches to this problem. Show just one.
