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2020 ASDAN Math Tournament
12
12
Part of
2020 ASDAN Math Tournament
Problems
(1)
2020 Team #12
Source:
10/24/2023
Let
S
n
S_n
S
n
be the number of subsets of the first
n
n
n
positive integers that have the same number of even values and odd values; the empty set counts as one of these subsets. Compute the smallest positive integer
n
n
n
such that
S
n
S_n
S
n
is a multiple of
2020
2020
2020
.
team test