$(6)(2$ pts$)$ Alice and Bob are working on a homework math problem. The answer is an integer of

around $256$ bits. Bob declares that if Alice can solve the problem before he does, she will be

awarded $$100$ by Bob. So to claim the award, Alice needs to send the solution to Bob by email

as soon as she solves the problem. But if she does so$,$ Bob can show her the same solution and

claim that he found it before Alice.

Design a simple protocol for Bob and Alice which can accomplish their objective without

possessing the problem mentioned above. Assume no well$-$known ciphers or hashing algorithms

are used.