Problem

Source: 2020 Junior Macedonian Mathematical Olympiad

Tags: nice, combinatorics, geometrical, jmmo2020, cartesian plane, analytic geometry, geometry



Let $T$ be a triangle whose vertices have integer coordinates, such that each side of $T$ contains exactly $m$ points with integer coordinates. If the area of $T$ is less than $2020$, determine the largest possible value of $m$.