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Message: [QUOTE="James Edward Gray II, post: 4495116"] It's cheating to get correct answers quickly? ;) I haven't compared the Array in question with the posted sequences. Perhaps it's not very complete. Let me ask you this though, since we're talking about this: Which is easier to debug, the sequence list or a broken calculation solution? Didn't the solution also brute force answers when it left its list of known numbers? One last question: How well does your presumably fast solution do when it goes beyond the listed sequence? Does it still find lots of answers, quickly? I'm really not trying to be mean here and I apologize if I'm coming off that way. I think what Hampton hit on is a simple cache optimization. It's fast and very effective. I don't think we should be so quick to toss it out as a viable approach... James Edward Gray II [/QUOTE]