Problem 9': (also refer to Problem 4.14 from textbook) (a) Show that for all Ke {0, 1}6 and xe {0, 1/64 DES,(x)=DES (*) This is called the key-complementation property of DES. (b) Show how to use the key-complementation property of DES to speed up exhaustive key search by a factor of two. Explain any assumptions that you make. Problem 9': (also refer to Problem 4.14 from textbook) (a) Show that for all Ke {0, 1}6 and xe {0, 1/64 DES,(x)=DES (*) This is called the key-complementation property of DES. (b) Show how to use the key-complementation property of DES to speed up exhaustive key search by a factor of two. Explain any assumptions that you make