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A Latin square is simply one where the same set of letters, numbers, or other symbols appear in each row and each column. A number of standard puzzle types (see End View, KenKen, skyscrapers, star battle, and sudoku) are based on forming a Latin square under additional constraints, and those puzzles are listed under those categories.
MIT Mystery Hunt 2000 Isn't It Romantic?
MIT Mystery Hunt 2012 Twosquare
MIT Mystery Hunt 2016 Roller Coaster
MIT Mystery Hunt 2021 The Greatest Jigsaw