1. Assume we have access to a cluster computing in a datacenter. Each cluster consists of 1000 super computers Each super computer consists of 216 processors (comparators). Each processor is clocked a record speed of 8 GHz. Each comparison bit-wise takes only one cycle. Assume an attacker wants to crack a 256-bit key. (a) How long does it take to crack the key at best case? (b) How long does it take to crack the key at worst case? (c) How long does it take to crack the key on the average