Editorial for ECOO '12 R2 P1 - Prime Time - Olympiads Online Judge

Editorial for ECOO '12 R2 P1 - Prime Time

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Every number is a product of two numbers: The message code number in the range $0$ $0$ to $3030$ $3030$ , and the prime number key in the range $100\,000$ $100 000$ to $500\,000$ $500 000$ . The easiest thing to do is simply search one of the message numbers sequentially for the first factor you find starting at $100\,000$ $100 000$ .

It may also be possible in some cases to find the GCF (greatest common factor) of two of the message numbers using the Euclidean algorithm or some other method. But this method may not find the right key. For example, if the two message numbers you select are both even, the GCF will actually be double the key.

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