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Nondango is NP-Complete

2023/10/17 by Ruangwises, Suthee
#Computational Complexity (cs.CC) #FOS: Computer and information sciences

paper · doi:10.48550/arxiv.2310.11447

Abstract

Nondango is a pencil puzzle consisting of a rectangular grid partitioned into regions, with some cells containing a white circle. The player has to color some circles black such that every region contains exactly one black circle, and there are no three consecutive circles (horizontally, vertically, or diagonally) having the same color. In this paper, we prove that deciding solvability of a given Nondango puzzle is NP-complete.

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