CN-TST 2021 Problem 18

Proof that there exist constant $\lambda$ , so that for any positive integer $m(\ge 2)$ , and any lattice triangle $T$ in the Cartesian coordinate plane, if $T$ contains exactly one $m$ -lattice point in its interior(not containing boundary), then $T$ has area $\le \lambda m^3$ . PS. lattice triangles are triangles whose vertex are lattice points; $m$ -lattice points are lattice points whose both coordinates are divisible by $m$ .