Questions tagged [latin-square]

A combinatorial puzzle related to Latin squares.

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Latin Squares puzzle

Let’s have two Latin Squares 6X6 superimposed on each other, represented here by marking one with 1s and one with 0s. The two Latin Squares contain twelve 5,2 pairs, a total of twelve pairs 6,4 and 4,...
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0answers
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Filling a sudoku/latin square like array

Let us build a square array in the following manner, which I would like to call a modified sudoku: 1) Every row and column contains only one copy of a positive entry and there are exactly $t$ such ...
4
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4answers
247 views

Do there exist Graeco-Latin Square style puzzles?

Sudoku, KenKen, and Skyscrapers are three examples of Latin square puzzles. In all three, players are challenged to complete a Latin Square, a NxN grid (typically 9x9) in which the numbers 1-N appear ...
7
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1answer
191 views

Latin Square Puzzle - Difficult

Follow on puzzle from the introductory Latin square puzzle post. The rules It’s a Latin square like sudoku, so there must be the numbers 1-9 exactly once in every row and column. Notice that each ...
7
votes
1answer
343 views

Latin square puzzle

This is a sudoku-esque puzzle I came up with when trying to solve some harder sudoku. The rules It’s a Latin square like sudoku, so there must be the numbers 1-9 exactly once in every row and ...
3
votes
3answers
390 views

Team Picnic Round Robin

What seemed like a simple setup for a team picnic has turned into a nightmare logic puzzle. There are 8 teams and 8 events/locations. Each event requires two teams who play against each other. There ...
3
votes
1answer
84 views

Coprime latin squares

The numbers {1 to 11}, excluding 8 and 10, are arranged in a 3 x 3 matrix. The bottom row sums to 22. The rightmost column sums to 24. The back diagonal (/) values sum to 14. Each triplet of values ...
3
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2answers
864 views

How to generate and count the 7x7 Latin squares

How many 7 by 7 Latin squares are there, and how can one generate examples of them? I am working on classes for a game, and typing in numbers manually from 1-7 in rows and columns from scratch is ...