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Rioplatense Mathematical Olympiad, Level 3
1993 Rioplatense Mathematical Olympiad, Level 3
2
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Part of
1993 Rioplatense Mathematical Olympiad, Level 3
Problems
(1)
integer on each cell of N x N+1
Source: III - Rioplatense 1993 L3 P2
9/19/2022
An integer is written in each cell of a board of
N
N
N
rows and
N
+
1
N + 1
N
+
1
columns. Prove that some columns (possibly none) can be deleted so that in each row the sum of the numbers left uncrossed out is even.
combinatorics