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Sets of cubes

1. Find the set of perfect cubes that between them use each of the digits 0 to 9 at least once whose sum is as small as possible. What is the sum of your set of cubes?

2. Find the set of perfect cubes that between them use each of the digits 0 to 9 exactly once whose sum is as small as possible. What is the sum of your set of cubes?

In answering either of these questions you may, if you wish, treat 0 as itself being a cube.

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