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problem solving exercise

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This is a problem solving exercise that a certain major software company likes to use in their interviews. Like many algorithm design problems, there are many possible answers, but I have presented one of the more generally accepted ones.

A stream of integers between 1 and 1 million is received by a computer. The numbers arrive in random order, however each number only appears once in the sequence. How would you determine which one number was missing from the sequence?

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A problem solving exercise is practiced.

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There are many ways to solve this problem, but the generally accepted one is to realize that the incoming integers comprise an arithmetic ...

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