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Part of
2017 Ecuador Juniors
Problems
(1)
1-8 at vertices of regular octagon - 2017 Ecuador Juniors (OMEC) L2 p4
Source:
10/25/2022
Indicate whether it is possible to write the integers
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
1, 2, 3, 4, 5, 6, 7, 8
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
at the vertices of an regular octagon such that the sum of the numbers of any
3
3
3
consecutive vertices is greater than: a)
11
11
11
. b)
13
13
13
.
combinatorics
algebra