Question

Rectangle Packing Problem You have to develop multi-rectangle packing heuristic that is time efficient, low complexity, scalable, and with high resource utilization. The classic rectangle packing problem is concerned to pack a set of rectangles of varying width and height into a larger 2-D rectangle without any overlaps. In this exam, you are required to come up with a heuristic algorithm to solve a slightly modified version of the rectangle packing problem, applicable to reconfigurable processors hosting multiple programs. Problem description:

1. The problem is to pack a set of rectangles into a square 128×128 array. (N = 128)

Answer 1

The rectangle packing problem involves developing a heuristic algorithm to pack rectangles of varying size into a larger 2-D square array without overlaps. Hexagonal packing is more efficient than square packing and can be applied to atoms to maximize coverage area. Therefore, atoms of a given element would prefer hexagonal packing.

Step-by-step explanation:

The subject of the question is the rectangle packing problem in the context of developing a multi-rectangle packing heuristic algorithm for reconfigurable processors hosting multiple programs. The goal is to pack a set of rectangles of varying width and height into a larger 2-D rectangle without any overlaps, specifically a square 128x128 array.

To solve this problem, a time-efficient, low-complexity, scalable, and high resource utilization heuristic algorithm needs to be developed. The algorithm should aim to maximize the packing arrangement and minimize empty space within the square array.

By applying geometry principles, it has been shown that hexagonal packing yields a higher coverage area compared to square packing. Therefore, in the context of atoms, it can be inferred that the atoms of a given element would prefer hexagonal packing.