Threes!, Fives, 1024!, and 2048 are Hard

Stefan Langerman; Yushi Uno

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arXiv · 1505.04274

Threes!, Fives, 1024!, and 2048 are Hard

Stefan Langerman·Yushi Uno

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Abstract

We analyze the computational complexity of the popular computer games Threes!, 1024!, 2048 and many of their variants. For most known versions expanded to an m x n board, we show that it is NP-hard to decide whether a given starting position can be played to reach a specific (constant) tile value.

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BibTeX RIS

Stefan Langerman, Yushi Uno. 2015-05-16. Threes!, Fives, 1024!, and 2048 are Hard. https://arxiv.org/abs/1505.04274

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