Assume that there are 100 students in a Cryptography class. Each student would want to be able to send messages in secrecy to any of the 99 students, such that the other 98 students are not privy to it. Assuming symmetric key cryptography is used, how many keys are required in total for the 100 students to be able to securely communicate amongst themselves? How many keys are required if asymmetric cryptography were to be used?