Recursive Path-finding in a Dynamic Maze with Modified Tremaux's Algorithm
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Recursive Path-finding in a Dynamic Maze with Modified Tremaux's Algorithm

Authors: Nien-Zheng Yew, Kung-Ming Tiong, Su-Ting Yong

Abstract:

Number Link is a Japanese logic puzzle where pairs of same numbers are connected using lines. Number Link can be regarded as a dynamic multiple travelers, multiple entries and exits maze, where the walls and passages are dynamically changing as the travelers move. In this paper, we apply the Tremaux’s algorithm to solve Number Link puzzles of size 8x8, 10x10 and 15x20. The algorithm works well and produces a solution for puzzles of size 8x8 and 10x10. However, solving a puzzle of size 15x20 requires high computer processing power and is time consuming.

Keywords: Number Link, maze, puzzle, Tremaux’s algorithm

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077030

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