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The Cartographer
Solving Shisen-Sho boards
October 18, 2020 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Michiel de Bondt
arXiv ID
2010.09014
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.CC,
cs.DM
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
We give a simple proof of that determining solvability of Shisen-Sho boards is NP-complete. Furthermore, we show that under realistic assumptions, one can compute in logarithmic time if two tiles form a playable pair. We combine an implementation of the algoritm to test playability of pairs with my earlier algorithm to solve Mahjong Solitaire boards with peeking, to obtain an algorithm to solve Shisen-Sho boards. We sample several Shisen-Sho and Mahjong Solitaire layouts for solvability for Shisen-Sho and Mahjong Solitaire.
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