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AIME 1994 Problem 11

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Ninety-four bricks, each measuring 4′′×10′′×19′′,4''\times10''\times19'', are to be stacked one on top of another to form a tower 94 bricks tall. Each brick can be oriented so it contributes 4′′ 4''\, or 10′′ 10''\, or 19′′ 19''\, to the total height of the tower. How many different tower heights can be achieved using all of the ninety-four bricks?

Dataset text AIME 1983 to 2026. Quoted with source.

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465

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