Numbers, Numbers, Numbers

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Okay. Before we begin, a hint : This one's taken from somewhere. Word to word. Google comes to mind, doesn't it? Here goes: For the heck of it, we define a new sequence as the infinite sequence of all integers, in ascending order, that can represented as any positive integer power of 5 (i.e 5k where k is a positive integer) or as a sum of distinct positive integer powers of 5 (i.e 5a1 + 5a2 + 5a3

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solution.cppC++17

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