2006 SMT/General Problems/Problem 16
Problem
Points are placed on a circle with center
such that
and
for all positive integers
. What is the smallest
for which
?
Solution
The condition we are looking for is , because if any other
than
must be a multiple of 360 as we have rotated
by the time we place
.
We can ignore the case of because be are looking for an
. Therefore, our answer is the second lowest option,
or