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FI-MO 2004 Problem 5

    Finland is going to change the monetary system again and replace the Euro by the Finnish Mark. The Mark is divided into 100100 pennies. There shall be coins of three denominations only, and the number of coins a person has to carry in order to be able to pay for any purchase less than one mark should be minimal. Determine the coin denominations.

    Dataset text AI-MO AoPS. Quoted with source.

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