How 4040 Cousins Forces 107 Elements | AIME II 2026
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Загружено: 2026-02-22
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AIME 2 2026
problem 13
Call finite sets of integers S and T cousins if
S and T have the same number of elements,
S and T are disjoint, and
the elements of S can be paired with the elements of T so that the elements in each pair differ by exactly 1.
For example, {1,2,5} and {0,3,4} are cousins. Suppose that the set S has exactly 4040 cousins. Find the least number of elements the set S can have.
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