标题： 拉丁谜题 显示英文标题

标题： Latin Puzzles

摘要： 基于作者之前将拉丁方推广到拉丁板的通用方法，本文将部分拉丁方及相关对象如部分拉丁方、可完成的部分拉丁方和拉丁方谜题进行推广。 后者挑战玩家完成部分拉丁方，目前最流行的变种是数独。 这种推广结果是部分拉丁板、可完成的部分拉丁板和拉丁谜题。 提供的拉丁谜题示例说明了它们与基于拉丁方的谜题有何不同。 这些示例包括Sudoku Ripeto和Custom Sudoku，两种新的数独变种。 随后讨论了寻找适合人类玩家解决的拉丁板和拉丁谜题的方法，重点放在基于约束编程的方法上。 本文还包含了对测量拉丁谜题难度的客观和主观方法的分析。 显示英文摘要

摘要： Based on a previous generalization by the author of Latin squares to Latin boards, this paper generalizes partial Latin squares and related objects like partial Latin squares, completable partial Latin squares and Latin square puzzles. The latter challenge players to complete partial Latin squares, Sudoku being the most popular variant nowadays. The present generalization results in partial Latin boards, completable partial Latin boards and Latin puzzles. Provided examples of Latin puzzles illustrate how they differ from puzzles based on Latin squares. The examples include Sudoku Ripeto and Custom Sudoku, two new Sudoku variants. This is followed by a discussion of methods to find Latin boards and Latin puzzles amenable to being solved by human players, with an emphasis on those based on constraint programming. The paper also includes an analysis of objective and subjective ways to measure the difficulty of Latin puzzles.