Man, these New York Times games are hard! A computational perspective

Fuente: arXiv
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Main Authors: Alberti, Alessandro Giovanni, Chierichetti, Flavio, Giacchini, Mirko, Muscillo, Daniele, Panconesi, Alessandro, Tani, Erasmo
Format: Preprint
Published: 2025
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author Alberti, Alessandro Giovanni
Chierichetti, Flavio
Giacchini, Mirko
Muscillo, Daniele
Panconesi, Alessandro
Tani, Erasmo
author_facet Alberti, Alessandro Giovanni
Chierichetti, Flavio
Giacchini, Mirko
Muscillo, Daniele
Panconesi, Alessandro
Tani, Erasmo
contents The New York Times (NYT) games have found widespread popularity in recent years and reportedly account for an increasing fraction of the newspaper's readership. In this paper, we bring the computational lens to the study of New York Times games and consider four of them not previously studied: Letter Boxed, Pips, Strands and Tiles. We show that these games can be just as hard as they are fun. In particular, we characterize the hardness of several variants of computational problems related to these popular puzzle games. For Letter Boxed, we show that deciding whether an instance is solvable is in general NP-Complete, while in some parameter settings it can be done in polynomial time. Similarly, for Pips we prove that deciding whether a puzzle has a solution is NP-Complete even in some restricted classes of instances. We then show that one natural computational problem arising from Strands is NP-Complete in most parameter settings. Finally, we demonstrate that deciding whether a Tiles puzzle is solvable with a single, uninterrupted combo requires polynomial time.
format Preprint
id arxiv_https___arxiv_org_abs_2509_10846
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Man, these New York Times games are hard! A computational perspective
Alberti, Alessandro Giovanni
Chierichetti, Flavio
Giacchini, Mirko
Muscillo, Daniele
Panconesi, Alessandro
Tani, Erasmo
Computational Complexity
The New York Times (NYT) games have found widespread popularity in recent years and reportedly account for an increasing fraction of the newspaper's readership. In this paper, we bring the computational lens to the study of New York Times games and consider four of them not previously studied: Letter Boxed, Pips, Strands and Tiles. We show that these games can be just as hard as they are fun. In particular, we characterize the hardness of several variants of computational problems related to these popular puzzle games. For Letter Boxed, we show that deciding whether an instance is solvable is in general NP-Complete, while in some parameter settings it can be done in polynomial time. Similarly, for Pips we prove that deciding whether a puzzle has a solution is NP-Complete even in some restricted classes of instances. We then show that one natural computational problem arising from Strands is NP-Complete in most parameter settings. Finally, we demonstrate that deciding whether a Tiles puzzle is solvable with a single, uninterrupted combo requires polynomial time.
title Man, these New York Times games are hard! A computational perspective
topic Computational Complexity
url https://arxiv.org/abs/2509.10846