“…Secondly, apart from being more efficient compared to [38], the end result of the transactions, viz., creation of "map" like structures r ξ for every polygon, can be used for purposes other than redistricting, for example, determine in which block/district a particular point ( ) , x y falls [34]. Finally, this paper addresses a minor flaw in [38]. Validating the district/state area merely by "walking" around the district/state boundary (incremental area computation using Equation ( 2)), and by adding up all block/district areas, still opens up the possibility of being able to swap a block inside the district with an equal area block outside the district.…”