MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN O Problems
30
30
Part of
PEN O Problems
Problems
(1)
O 30
Source:
5/25/2007
Determine the largest positive integer
n
n
n
for which there exists a set
S
S
S
with exactly
n
n
n
numbers such that [*] each member in
S
S
S
is a positive integer not exceeding
2002
2002
2002
, [*] if
a
,
b
∈
S
a,b\in S
a
,
b
∈
S
(not necessarily different), then
a
b
∉
S
ab\not\in S
ab
∈
S
.