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National and Regional Contests
Lithuania Contests
Lithuania Team Selection Test
2014 Lithuania Team Selection Test
2
2
Part of
2014 Lithuania Team Selection Test
Problems
(1)
Lithuanian TST 2014 #2
Source:
4/20/2014
Finite set
A
A
A
has such property: every six its distinct elements’ sum isn’t divisible by
6
6
6
. Does there exist such set
A
A
A
consisting of
11
11
11
distinct natural numbers?
number theory proposed
number theory