Difference between revisions of "2020 USAMO Problems/Problem 5"
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Latest revision as of 10:15, 31 July 2023
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
This problem needs a solution. If you have a solution for it, please help us out by adding it.
| 2020 USAMO (Problems • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
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