Computational Complexity and Integer Programming Formulation of the Oredango Puzzle

Takuma Takahata; Norito Minamikawa; Takayuki Okuno

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arXiv · 2503.10393

Computational Complexity and Integer Programming Formulation of the Oredango Puzzle

Takuma Takahata·Norito Minamikawa·Takayuki Okuno

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Abstract

Oredango puzzle, one of the pencil puzzles, was originally created by Kanaiboshi and published in the popular puzzle magazine Nikoli. In this paper, we show NP- and ASP-completeness of Oredango by constructing a reduction from the 1-in-3SAT problem. Next, we formulate Oredango as an 0-1 integer-programming problem, and present numerical results obtained by solving Oredango puzzles from Nikoli and PuzzleSquare JP using a 0-1 optimization solver.

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Takuma Takahata, Norito Minamikawa, Takayuki Okuno. 2025-03-13. Computational Complexity and Integer Programming Formulation of the Oredango Puzzle. https://arxiv.org/abs/2503.10393

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