Internal point#2300
Given a strictly convex -gon and points.
For each point, determine its location: inside, on the border, or outside the polygon.
First, the number (3 \leq n \leq 10^5) is given. Then, points follow, which are the vertices of the polygon.
After that, the number (0 \leq k \leq 10^5) is given. Then, points follow, which are the query points.
All coordinates are integers and do not exceed 10^7 by absolute value.
For each query, output INSIDE, BORDER, or OUTSIDE on a separate line.
Example 1