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2015 BMT Spring
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2015 BMT Spring Discrete P1
Source:
January 20, 2022
number theory
algebra
Problem Statement
Find two disjoint sets
N
1
N_1
N
1
and
N
2
N_2
N
2
with
N
1
∪
N
2
=
N
N_1\cup N_2=\mathbb N
N
1
∪
N
2
=
N
, so that neither set contains an infinite arithmetic progression.
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