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CMO 1974 Problem 6

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An unlimited supply of 8-cent and 15-cent stamps is available. Some amounts of postage cannot be made up exactly, e.g., 7 cents, 29 cents. What is the largest unattainable amount, i.e., the amount, say nn , of postage which is unattainable while all amounts larger than nn are attainable? (Justify your answer.)

Dataset text AI-MO AoPS. Quoted with source.

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