Intersecting 17-sided polygons

Discrete Mathematics Level pending

Suppose \(A=A_1A_2...A_{17}\) and \(B=B_1B_2...B_{17}\) are two polygons, possibly self-intersecting. Suppose no three out of \(34\) vertices of \(A\) and \(B\) lie on the same straight line. Find the largest possible number of intersections of \(A\) and \(B\).

Details and assumptions

You should not count any self intersections of the polygons.

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