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

16 May 2015Stefan LangermanYushi Uno

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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