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2002 CentroAmerican
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2002 CentroAmerican
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Number Theory
Source: Central American Olympiad 2002, problem 1
12/30/2009
For what integers
n
≥
3
n\ge 3
n
≥
3
is it possible to accommodate, in some order, the numbers
1
,
2
,
⋯
,
n
1,2,\cdots, n
1
,
2
,
⋯
,
n
in a circular form such that every number divides the sum of the next two numbers, in a clockwise direction?