The Snowblower Problem: An Improvement

Abstract

We present more optimal solutions to the snowblower problem introduced in arXiv:cs/0603026. In particular, we present more optimal ways to clear lines and combs, which are shapes as described in the aforementioned paper that the original input is dissected into. We note that our methods to clear lines and combs reduce the number of steps needed to clear such shapes, while also acknowledging that they do not change the overall complexity.