2021 IMO Problems/Problem 6
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Problem
Let be an integer,
be a finite set of (not necessarily positive) integers, and
be subsets of
. Assume that for each
the sum of the elements of
is
. Prove that
contains at least
elements.
Video solution
https://youtu.be/vUftJHRaNx8 [Video contains solutions to all day 2 problems]
See also
2021 IMO (Problems) • Resources | ||
Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Problem |
All IMO Problems and Solutions |