“…10 For example, there are 5 partitions of {1, 2, 3}: {{1}, {2}, {3}}, {{1}, {2, 3}}, {{2}, {1, 3}}, {{3}, {1, 2}}, and {{1, 2, 3}}. 11 For example, there are 11 partitions of 6: (6), (5, 1), (4, 2), (4, 1, 1), (3, 3), (3, 2, 1), (3, 1, 1, 1), (2, 2, 2), (2, 2, 1, 1), (2, 1, 1, 1, 1), and (1, 1, 1, 1, 1, 1). The number p n of partitions of n is a rapidly increasing function of n. For example, p 1 = 1, p 4 = 5, p 9 = 30, p 50 = 204226, p 200 = 3972999029388.…”