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KöMaL 2007 K119

    There are two tribes living in Binumeria. The difference between the two tribes is that they write numbers in notations using different bases. A member of each tribe was asked how many members their tribe had. Each of them answered 1001110 011. How many inhabitants are there in Binumeria, given that each tribe consists of more than 100 but less than 1000 members?

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