The Snowblower Problem: An Improvement

TL;DR

This paper introduces improved algorithms for the snowblower problem, optimizing the process of clearing specific shapes like lines and combs without altering the problem's overall complexity.

Contribution

It provides more efficient solutions for clearing lines and combs in the snowblower problem, enhancing previous methods without changing complexity.

Findings

Reduced number of steps to clear lines and combs

Maintained the same overall complexity

Improved efficiency of existing algorithms

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.