Lynsey is a biology student. Her project for this term is measuring the effect of an increase in vitamin C in the diet of twenty-five laboratory mice. Each mouse will have a different diet supplement of between 1 to 50 units. Fractions of a unit are not possible.

Although the university pays for the mice's food, Lynsey has to buy the vitamin C supplement herself. This first consideration in designing this experiment was therefore to minimize the total number of supplements. The second consideration was that no mouse should have an exact multiple of another mouse's supplement. Thus, if one mouse was on a supplement of 14 units, then this would preclude supplements of 1, 2, 7, 28, and 42 units.

What supplements should Lynsey use?

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