Consider the following relation R on the set X. Find the smallest power k of R such that R* = idx If no such k exists, write "none". X = {0, 1, 2, 3, 4} R= {< a,b > |b= 3a mod 5} Recall that a = b mod n means that a and b have the same remainder when divided by n (equivalently, a-b is divisible by n).

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