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Contests
National and Regional Contests
Bulgaria Contests
Bulgaria Team Selection Test
2005 Bulgaria Team Selection Test
2
2
Part of
2005 Bulgaria Team Selection Test
Problems
(1)
The Number of Subsets
Source: Bulgarian IMO TST 2005, Day 1, Problem 2
7/7/2013
Find the number of the subsets
B
B
B
of the set
{
1
,
2
,
⋯
,
2005
}
\{1,2,\cdots, 2005 \}
{
1
,
2
,
⋯
,
2005
}
such that the sum of the elements of
B
B
B
is congruent to
2006
2006
2006
modulo
2048
2048
2048
function
trigonometry
number theory proposed
number theory