Consider a base n rational number α.β and it's reverse form β.α such that their product is an integer.
For example, in base ten: (3.5)*(5.3)= 18.55, which is NOT an integer.
Consider all positive integer bases n ≤ 36 and determine all valid triplets (α, β, n) of positive integers for which the product of (α.β)_{base n} and (β.α)_{base n} is an integer.