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Questions tagged [latin-square]

A combinatorial puzzle related to Latin squares.

1
vote
0answers
81 views

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
votes
4answers
243 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
votes
1answer
180 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
321 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
83 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
votes
2answers
840 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 ...