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Junior Balkan MO
2003 Junior Balkan MO
2
2
Part of
2003 Junior Balkan MO
Problems
(1)
the broken line A_1A_2...A_n does not intersect itself
Source: JBMO 2003, Problem 2
10/10/2005
Suppose there are
n
n
n
points in a plane no three of which are collinear with the property that if we label these points as
A
1
,
A
2
,
…
,
A
n
A_1,A_2,\ldots,A_n
A
1
,
A
2
,
…
,
A
n
in any way whatsoever, the broken line
A
1
A
2
…
A
n
A_1A_2\ldots A_n
A
1
A
2
…
A
n
does not intersect itself. Find the maximum value of
n
n
n
. Dinu Serbanescu, Romania