Let S = {(a1, a2, . . . , an)| n ≥ 1, ai ∈ Z ≥0 for i = 1, 2, . . . , n, an 6= 0}. So S is the set of all finite ordered n-tuples of nonnegative integers where the last coordinate is not 0. Find a bijection from S to Z +.
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