$2.$ Analyze the hash functions below that operate on input data represented as a series of base$-$IO integers, D $=($ml$,$ m$,.$ mt$).$ For each hash function, determine which of the requirements for a cryptographic hash function listed in slides $54($requirement of hash function$)$ are satisfied. Explain your answers.

a$)$ h $=$ to t$)$ ml$)$ mod n$,$ for some predefined value n$.(0\mathrm{.}5)$

b$)$ h $=$ to t$)($mi$)$A$2)$ mod n $(0\mathrm{.}5)$

c$)$ Calculate the hash value from part $($b$)$ for the message D $=(237,632,913,423,349)$ and n $=757.(0\mathrm{.}5)$