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XenithShade

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Closed form is ((1 + 250)* 250)/2

Once you know the actual sum, you can do it either: sum all, subtract total - sum. Or with data structures: it would be a variant of the "given an array find all pairs of numbers that add up to a sum". The benefit of using the data structure approach would be that you can now find x missing numbers in the range 1 - 250.

note* the closed form might have a off by one error

There's a higher level of photographic memory that very few people are capable of. Those that can call on demand images of the past at will. I've met one, and knew of a teacher who knew one. Like the author of this article stated. It can be a curse, nightmares and things they don't want to remember stick with them. Forever.

Although a lot of people also have really great memory, which can arguably said to be "somewhat photographic" as the author said. In which case, I do as well. I cannot agree that being able to walk through a previous scene with a bird's eye view is part of being photographic memory though. I think that as just powerful spatial visualization combined with good memory.