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2003 District Olympiad
1
disjoint subests of {1,2,..., 10} 2003 Romania District VII p1
disjoint subests of {1,2,..., 10} 2003 Romania District VII p1
Source:
August 15, 2024
algebra
number theory
Problem Statement
Find the disjoint sets
B
B
B
and
C
C
C
such that
B
∪
C
=
{
1
,
2
,
.
.
.
,
10
}
B \cup C = \{1,2,..., 10\}
B
∪
C
=
{
1
,
2
,
...
,
10
}
and the product of the elements of
C
C
C
equals the sum of elements of
B
B
B
.
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