For the following multiplicative LCGs, compute Zi for enough values of i ≥ 1 to cover an e...

For the following multiplicative LCGs, compute Z_i for enough values of i ≥ 1 to cover an entire cycle:

(a) Z_i = (11Z_{i – 1})(mod 16), Z₀ = 1

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(b) Z_i = (11Z_{i – 1})(mod 16), Z₀ = 2

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(c) Z_i = (2Z_{i – 1})(mod 13), Z₀ = 1

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(d) Z_i = (3Z_{i – 1})(mod 13), Z₀ = 1

Note that (a) and (b) have m of the form 2^b; (c) is a PMMLCG, for which a = 2 is a primitive element modulo m = 13.