G285 2021 MC-IME II
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Problem 1
Let 
points lie in the interior of the circumcircle of regular decagon 
. If each point is connected to the second farthest point away from itself by a line, find the maximum number of regions created by the intersections of lines.
Problem 2
Suppose 
denote the number of integer 
where 
such that 
. If ![\[\sum_{p=1}^{n} \frac{1}{2^p \phi(p)}\]](http://latex.artofproblemsolving.com/9/7/4/9749517444970ddc58003f917713d17b5f8873d8.png)
can be represented as 
for some constant 
, find 
