How can an attacker find the three keys with effort in the, Computer Engineering

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How can an attacker find the three keys with effort in the

Problem

In EDE mode of 3DES, encryption of message m with keys k1, k2 and k3 works as follows: C=E_k1(D_k2(E_k3(m))), where E and D denote the encryption and decryption operation of DES respectively. Given several pairs, how can an attacker find the three keys with effort in the order of 2¹¹² instead of 2¹⁶⁸? Describe the attack in detail. (Hint: meet-in-the-middle attack)

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