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IL-GILLIS 1997 Problem 2

    We are given a balance with two bowls and a number of weights. (a) Give an example of four integer weights using which one can measure any weight of 1,2,...,401,2,...,40 grams. (b) Are there four weights using which one can measure any weight of 1,2,...,501,2,...,50 grams?

    Dataset text AI-MO AoPS. Quoted with source.

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