2020 USAMO Problems/Problem 5
Problem
A finite set of points in the coordinate plane is called overdetermined if and there exists a nonzero polynomial , with real coefficients and of degree at most , satisfying for every point .
For each integer , find the largest integer (in terms of ) such that there exists a set of distinct points that is not overdetermined, but has overdetermined subsets.
Solution
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2020 USAMO (Problems • Resources) | ||
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Followed by Problem 6 | |
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