MathDB
Problems
Contests
National and Regional Contests
South Africa Contests
South Africa National Olympiad
2007 South africa National Olympiad
6
6
Part of
2007 South africa National Olympiad
Problems
(1)
The South African Mathematical Olympiad 2007
Source: Problem 6
8/22/2008
Prove that it is not possible to write numbers
1
,
2
,
3
,
.
.
.
,
25
1,2,3,...,25
1
,
2
,
3
,
...
,
25
on the squares of
5
5
5
x
5
5
5
chessboard such that any neighboring numbers differ by at most
4
4
4
.
IMO Shortlist
combinatorics proposed
combinatorics