Questions tagged [latin-square]
A combinatorial puzzle related to Latin squares.
31 questions
7
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1
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Min-Max Circuit Deduction
Handmade Puzzle: Min Max Circuit
Fit in the numbers satisfying the following rules.
Each row and column should contain 1~9 distinctly.
- Maximum cell: This cell should contain bigger number than ...
- 2,572
1
vote
1
answer
167
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Fill a partially completed 5x5 Latin square with diverse diagonals
Beginner puzzle (suitable for people who are new to puzzle solving).
To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not ...
- 27.1k
2
votes
1
answer
202
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Unique Latin Square
Apologies if this isn't a Latin Square but when searching this seems to fit the best.
I'm trying to spread the numbers 1 through 9 out in a 5x5 grid. There can't be a repeated number anywhere in the ...
- 21
7
votes
1
answer
250
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A mini sandwich - Dekadoku
A new puzzle, very interesting to solve. The rules are as follows:
Place all the two-digit combinations (numbers from 00 to 99).
In each row or column, no number can have the same tens digit.
In each ...
- 2,456
7
votes
1
answer
270
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A Challenging Tetris - Dekadoku
Now I'm sharing this new and very difficult Dekadoku puzzle, which is truly beautiful. The color is decorative.
You already know the rules:
Place all the combinations of two-digit numbers (from 00 to ...
- 2,456
7
votes
1
answer
462
views
Blue Clouds - Dekadoku
I greatly appreciate your support in this new challenge. I want to share this puzzle with you and hear your thoughts on the new rule I've added. What do you think? Thank you in advance for your ...
- 2,456
23
votes
2
answers
2k
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DEKADOKU, the new challenge
Thanks to @Beastly_Gerbil for the name. I'm sharing a new puzzle challenge with you. This is the first one I ever created, inspired by the Scientific American magazine cover from 1959. You can search ...
- 2,456
3
votes
1
answer
282
views
Determine what numbers must be filled into the shaded squares to make the grid (now with ten squares filled in) puzzle-ready
A 5x5 Latin Square is a 5x5 grid of squares in which each square contains one of the numbers 1 through 5 such that every number appears exactly once in each row and column. A partially completed grid (...
- 27.1k
6
votes
6
answers
903
views
Coloring a 4×4 Grid
Following up on this question:
Peter is now tasked with coloring a 4×4 grid, so that all rows, all columns and both diagonals each use all different colors. An answer to the original question uses the ...
- 1,948
12
votes
2
answers
572
views
sums and differences in consecutive grid [closed]
Fill in each square of the grid with a number from $1$ to $16$,
using each number exactly once. Numbers at the left or top give
the largest sum of two numbers in that row or column. Numbers
at the ...
- 631
9
votes
2
answers
1k
views
magic square operations
Fill in the grid with the numbers $1$ to $6$ so that each number appears exactly once in
each row and column. A horizontal gray line marks any cell when it is the middle cell of
the three consecutive ...
- 631
1
vote
1
answer
382
views
How many 4x4 Latin Squares are there?
I thought of this problem when playing Sudoku. Let A = {1,2,3,4}. I have to make a 4x4 box (i.e. the size of A in both dimensions) and fill it with data such that ...
- 11
1
vote
1
answer
151
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Maximum and minimum numbers of combinations in a double Latin Square
Let's have a double 6x6 Latin Square (see Figure 1). You can see that this Latin Square has thirteen combinations (see Figure 2). Can you make a double Latin Square that contains the maximum number of ...
- 2,935
8
votes
1
answer
577
views
Tiling a 5x5 square with five pentominoes AND a Latin square
Suppose that a 5x5 square has been tiled with five (not necessarily distinct) pentominoes. Is it true that there will necessarily exist at least one Latin square of size 5x5 (using the numbers 1,2,3,...
- 27.1k
6
votes
2
answers
484
views
Taking turns adding a number 1,2,3 to a 3x3 matrix without repeating numbers in the rows or columns: does the first player always win?
Alice and Bob are playing a game on an initially empty 3x3 matrix. They take turns, and each turn:
They add a number in {1,2,3} to an empty cell.
They are not allowed to repeat a number in a row or ...
