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National and Regional Contests
PEN Problems
PEN O Problems
56
56
Part of
PEN O Problems
Problems
(1)
O 56
Source:
5/25/2007
Show that it is possible to color the set of integers
M
=
{
1
,
2
,
3
,
⋯
,
1987
}
,
M=\{ 1, 2, 3, \cdots, 1987 \},
M
=
{
1
,
2
,
3
,
⋯
,
1987
}
,
using four colors, so that no arithmetic progression with
10
10
10
terms has all its members the same color.
arithmetic sequence