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Netherlands Contests
Dutch Mathematical Olympiad
1993 Dutch Mathematical Olympiad
1
1
Part of
1993 Dutch Mathematical Olympiad
Problems
(1)
set
Source: Netherlands 1993
6/28/2009
Show that any subset of V\equal{} \{ 1,2,...,24,25 \} with
17
17
17
or more elements contains at least two distinct numbers the product of which is a perfect square.