In Two-dimensional Bin Packing (2BP), we are given n rectangles as input and our goal is to find an axis-aligned nonoverlapping packing of these into the minimum number unit square bins. 2BP admits no APTAS current best approximation ratio 1.406 by Bansal Khan (ACM-SIAM symposium on discrete algorithms (SODA), pp 13–25, 2014. https://doi.org/10.1137/1.9781611973402.2 ). A well-studied variant G...