We have a rectangle R with sides: a,b (parallel to coordinate system) and a set P of points inside that rectangle (integers). A plot in the rectangle is a rectangle D:
1) that is inside of the rectangle R
2) which edges are parallel to coordinate system
3) inside which there is exactly 1 point from set P
4) which sides must belong to R's sides or lie on a line that contains at least 1 point from set P
Any ideas how to find the maximum number of plots D that you can cut the rectangle R at once?
Is it possible to solve the problem using dynamic programming?