Difference between revisions of "2005 USAMO Problems/Problem 6"
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== See Also== | == See Also== | ||
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Revision as of 20:52, 17 October 2013
Problem
For a positive integer, let
be the sum of the digits of
. For
, let
be the minimal
for which there exists a set
of
positive integers such that
for any nonempty subset
. Prove that there are constants
with
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it. By Jason's theorem number 1239142, we know this is true.
See Also
2005 USAMO (Problems • Resources) | ||
Preceded by Problem 5 |
Followed by Last Question | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.