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National and Regional Contests
Moldova Contests
Moldova Team Selection Test
2016 Moldova Team Selection Test
10
10
Part of
2016 Moldova Team Selection Test
Problems
(1)
Ez Pascal and Polars
Source: MDA TST 2016, B9
3/26/2019
Let
A
1
A
2
⋯
A
14
A_{1}A_{2} \cdots A_{14}
A
1
A
2
⋯
A
14
be a regular
14
−
14-
14
−
gon. Prove that
A
1
A
3
∩
A
5
A
11
∩
A
6
A
9
≠
∅
A_{1}A_{3}\cap A_{5}A_{11}\cap A_{6}A_{9}\ne \emptyset
A
1
A
3
∩
A
5
A
11
∩
A
6
A
9
=
∅
.
one-liner