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TUYMAADA 2008 J5

    A loader has a waggon and a little cart. The waggon can carry up to 1000 kg, and the cart can carry only up to 1 kg. A finite number of sacks with sand lie in a storehouse. It is known that their total weight is more than 1001 kg, while each sack weighs not more than 1 kg. What maximum weight of sand can the loader carry in the waggon and the cart, regardless of particular weights of sacks?

    Author: M.Ivanov, D.Rostovsky, V.Frank

    Dataset text AI-MO AoPS. Quoted with source.

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