Problem

Source: 2019 Belarusian National Olympiad 10.8

Tags: cartesian plane, analytic geometry, parallelogram, combinatorial geometry



Call a polygon on a Cartesian plane to beinteger if all its vertices are integer. A convex integer $14$-gon is cut into integer parallelograms with areas not greater than $C$. Find the minimal possible $C$. (A. Yuran)