Consider a collection of piles of bananas consisting of one pile of 9 bananas, one pile of 6, and one pile of 2. Such a collection, denoted as C1, could be expresswed as (9, 6, 2). Obtain a new collection, C2, by harvesting C1, where harvesting is defined to mean remove one banaba from each pile to form a new pile. Thus we have C2 = (8, 5, 3, 1), and if C2 is harvested we obtain:

C3 = (7, 4, 4, 2).

a) Let C1 = (8, 5, 2) and determine C100.

b) Let C1 = (7, 6, 5) and determine C1995

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