1. Alice and Bob are going to perform three instances of Diffie-Hellman key agreement. The protocol says that each time they should choose a, b exponents randomly. Unfortunately, the programmer that they hired was asleep during the DHKA lecture in CS427, and pro- vided a stupid implementation of DHKA. Instead of random exponents, they use sequential exponents. That is, Alice & Bob use random exponents a, b in the first DHKA, then a +1, b + 1 in the second, a + 2, b + 2 in the third. Eve observes all of these DHKA interactions as an eavesdropper. She later learns the key derived from the second DHKA instance. Describe how she can now compute the first and third DHKA keys