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NUMBER THEORY QUESTION: Find the partition of {1, 2, . . . , 16} determined by...

NUMBER THEORY QUESTION:

Find the partition of {1, 2, . . . , 16} determined by the dynamics of

(a) addition of 2, modulo 16.

(b) addition of 4, modulo 16

(c) multiplication by 2, modulo 17.

(d) multiplication by 4, modulo 17.

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