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EXAMPLE
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a(12) = 2: [11,1], [1,11].
a(13) = 1: [1,11,1].
a(14) = 8: [2,12], [2,11,1], [2,1,11], [12,2], [11,2,1], [11,1,2], [1,2,11], [1,11,2].
a(15) = 12: [3,11,1], [3,1,11], [2,1,11,1], [11,3,1], [11,1,3], [11,1,2,1], [1,3,11], [1,2,11,1], [1,2,1,11], [1,11,3], [1,11,2,1], [1,11,1,2].
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