Question 92
Given an odd prime $p$. Find the largest positive integer $n$ such that there exist $n$ integer-coordinate points $A_1, A_2, \dots, A_n$ in the plane, with no three collinear, and for any $1 \le i \lt j \lt k \le n$, twice the area of triangle $A_iA_jA_k$ is **not** divisible by $p$.