Suppose (KeyGen, Enc, Dec) is an IND-CPA secure symmetric key encryption. We define following new encryption algorithms, are the new schemes still IND-CPA secure? If yes, briefly explain why. If you think it insecure, give an explicit attack violating the IND-CPA definition. Recall that the intuition of IND-CPA security means the ciphertext does not leak any non-trivial information about the plaintext.

1) Enc3(k, m) is defined as follows: It runs Enc(k, m) and obtains c0; It runs f on m to obtain c1 = f(m), where f is a one way permutation. The final ciphertext will be (c0, c1)