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Questions tagged [grid-deduction]

Puzzles such as Sudoku or Kakuro, where the final state of a pre-existing grid must be deduced logically through clues placed within and/or around the grid. Use with the [logical-deduction] tag. For puzzles where you are given a list of clues which can be used to compose a grid to solve them logically, use the [logic-grid] tag instead.

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17 votes
2 answers
848 views

PSE Advent Calendar 2024 (Day 11): A Sparkling Sudoku

This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2024. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door > This is a ...
CrSb0001's user avatar
  • 2,867
7 votes
1 answer
371 views

Happy Thanksgiving! - Colombian Sudoku

In this new Sudoku variant, your goal is to solve the puzzle on the left following the standard rules: each letter from the word "THANKS" must appear exactly once in every row, column, and ...
Xavier Castillo's user avatar
14 votes
2 answers
381 views

A Simon Tatham's Galaxy puzzle

While playing Simon Tatham's Galaxies, I found this particularly difficult one. I did eventually solve it, but I found the solve path and final answer to be quite satisfying, so I thought I'd share it ...
ApexPolenta's user avatar
  • 3,600
7 votes
1 answer
222 views

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 ...
Xavier Castillo's user avatar
0 votes
1 answer
207 views

How can I progress from here on Minesweeper Advent Day 43? (Everyone's Favorite Shape Even Better)

It has honestly been some time (11 months, 2 weeks, and 1 day) since I have last posted one of my Minesweeper puzzles, and I would honestly like to get back into doing that with some more interesting ...
CrSb0001's user avatar
  • 2,867
2 votes
2 answers
337 views

Another Framework puzzle

Previous Framework About Framework: A Framework puzzle is similar to a Fill-in puzzle, except there is no rigid crossword-style grid, however there is a tradeoff with there being fewer hints given ...
CrSb0001's user avatar
  • 2,867
6 votes
1 answer
822 views

Fill the 4x4 grid with numbers to make eight arithmetic progressions

In the 4x4 grid below, fill each empty square with a number such that the numbers in each row form an arithmetic progression when read from left to right. Similarly, the numbers in each column form an ...
Will.Octagon.Gibson's user avatar
5 votes
1 answer
320 views

Sudoku variants #3: Schrödinger's Grave Remastered (8x8 grid)

Previous variant Originally inspired by Cracking the Cryptic's video "The Graveyard of Schrödinger" (original gimmick by fjam) Background On Nov. 6, 2023 (1 year ago!), I posted the puzzle ...
CrSb0001's user avatar
  • 2,867
4 votes
1 answer
185 views

How can I progress on the Sudoku portion of "The Grave of Schrödinger" by fjam from here?

Almost 1 year ago, I posted the puzzle "Sudoku variants #1: Schrödinger's Grave (6x6 grid)", which was based off of a Sudoku variant created by fjam. While the original puzzle sadly turned ...
CrSb0001's user avatar
  • 2,867
10 votes
1 answer
213 views

8x8 Thermo Sudoku with no clues

Attribution: Me Rules of Thermo Sudoku: Numbers placed in cells overlaid by a thermometer must increase in value from the circle bulb to the other end. Objective: Fill in the 8x8 Sudoku such that ...
CrSb0001's user avatar
  • 2,867
10 votes
1 answer
271 views

a Latin inequality

This is a Futoshiki puzzle. You must put a single digit (1 through 7) in each empty square so that each row and each column has exactly one of each digit, and the inequality signs between adjacent ...
msh210's user avatar
  • 13.3k
9 votes
2 answers
556 views

A new game, but with colors

I want to show you a game I’ve created. I’m not sure if it already exists, since it’s so simple and nice that someone might have thought of it before, maybe with slightly different rules. The rules ...
Xavier Castillo's user avatar
16 votes
1 answer
645 views

Otherworldly – Numberlink / Marching Bands

This is part 73 of the puzzle series Around the World in Many Days. Each part is solvable on its own. Dear Puzzling, The grey numbers here form a Numberlink puzzle. Draw lines in the grid using ...
Jafe's user avatar
  • 81.1k
7 votes
1 answer
249 views

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 ...
Xavier Castillo's user avatar
7 votes
1 answer
441 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 ...
Xavier Castillo's user avatar
23 votes
2 answers
2k views

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 ...
Xavier Castillo's user avatar
18 votes
1 answer
758 views

A new nameless game

This is a new game I came up with the night after my birthday. It's so simple that I couldn't sleep just thinking about it. The rules are easy: you have to place all the two-digit combinations (...
Xavier Castillo's user avatar
3 votes
1 answer
235 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 (...
Will.Octagon.Gibson's user avatar
8 votes
1 answer
471 views

Simple but complex - Nonodoku

I'm back with more Nonodokus. This one is special because it combines the rules of a Jigsaw Sudoku with colored sections. The rules are simple: place the numbers 1 to 9 in each box or colored section ...
Xavier Castillo's user avatar
17 votes
2 answers
774 views

Can you find a grand tour of the rooms in this 12x12 grid?

Puzzle maven Nob Yoshigahara offered this puzzle in the September-October 2000 issue of MIT Technology Review, attributing it to a Professor Kotani. In the 4x4 complex of rooms above, two of the rooms ...
Will.Octagon.Gibson's user avatar
15 votes
1 answer
583 views

Fjord Explorer – a Nagareru crossword

This is part 72 of the puzzle series Around the World in Many Days. Each part is solvable on its own. Dear Puzzling, This is a Nagareru puzzle. Draw a single, non-intersecting, directional loop in ...
Jafe's user avatar
  • 81.1k
10 votes
1 answer
553 views

A sweet Nonodoku - Nonodoku

A new Nonodoku has arrived, the new adaptation of Nonogram to Sudoku. Remember, in this game, the numbers in each row indicate the relative order of the values in that row, but not their exact ...
Xavier Castillo's user avatar
11 votes
1 answer
503 views

Bazaars and Bananas

This is part 71 of the puzzle series Around the World in Many Days. Each part is solvable on its own. Dear Puzzling, The black letters in this grid form a Hitori puzzle. Shade some cells in the grid ...
Jafe's user avatar
  • 81.1k
6 votes
1 answer
187 views

Determine the minimum number of numeric clues to make these mini-Sudoku puzzles have a unique solution

Below are three grid layouts for mini-Sudoku puzzles. For each type (Square, L and T), determine the minimum number of numeric clues you (as puzzle composer) would have to place in the grid so that ...
Will.Octagon.Gibson's user avatar
5 votes
1 answer
158 views

Grid network - Colombian Sudoku

This is a new Colombian Sudoku that I really enjoyed creating. The rules are the same as always: fill the Sudoku on the left, using the clues on the right. The number of points in a row of the table ...
Xavier Castillo's user avatar
7 votes
1 answer
606 views

Fill this Sudoku variant so that the sums of numbers in the outlined regions are all different

Place numbers in the grid so that each row and each column contain all the numbers {1,2,3,4,5} (each exactly once) and the sums of numbers in the outlined regions are all different. Attribution: ...
Will.Octagon.Gibson's user avatar
7 votes
1 answer
356 views

A checkered cross - Colombian Sudoku

This is a new Colombian Sudoku that I really enjoyed creating. It’s not very complex, but it’s quite beautiful. The rules are the same as always: fill the Sudoku on the left, using the clues on the ...
Xavier Castillo's user avatar
8 votes
3 answers
823 views

Fill the grid with numbers to make all four equations true

Using all the numbers {1,2,3,4,5,6,7,8}, each exactly once, fill each empty white square with a number so that all the horizontal and vertical equations are true. The grey squares are not used. ...
Will.Octagon.Gibson's user avatar
4 votes
4 answers
887 views

Fill a grid with numbers so that each row/column calculation yields the same number

Using all the integers 1 through 9, each exactly once, put a number into each square in the grid below so that the result of each row and column calculation is 5. All operations are performed "...
Will.Octagon.Gibson's user avatar
11 votes
2 answers
1k views

The Master Tetrist

This is part 70 of the puzzle series Around the World in Many Days. Each part is solvable on its own. Dear Puzzling, This is a diagramless crossword with Tetris mechanics. Fill the grid by placing ...
Jafe's user avatar
  • 81.1k
5 votes
2 answers
246 views

Pinwheels - Colombian Sudoku

Here is another interesting Colombian Sudoku. The rules are as follows: complete the Sudoku on the left with numbers from 1 to 8 using the grid on the right. Keep in mind that the number of dots in ...
Xavier Castillo's user avatar
6 votes
1 answer
252 views

Ying Yang 12x12 - Colombian Sudoku

Here is this week's Sudoku, my latest creation. It's a Colombian Sudoku that, despite its size, presents an extreme level of difficulty. Remember the rules: you must fill in the Sudoku on the left ...
Xavier Castillo's user avatar
12 votes
1 answer
320 views

One number grid, two ways to divide it (Part 2)

Find a rectangular grid of the smallest area that satisfies the following: Each cell contains an integer between 1 and 4 inclusive. The grid follows the Fillomino rule: When the cells are divided ...
Bubbler's user avatar
  • 17.1k
14 votes
2 answers
764 views

One number grid, two ways to divide it

Find a rectangular grid of the smallest area that satisfies the following: Each cell contains an integer between 1 and 3 inclusive. The grid follows the Fillomino rule: When the cells are divided ...
Bubbler's user avatar
  • 17.1k
16 votes
4 answers
2k views

The minimal Anti-Sudoku

Suppose we succumb to the urge to fill in a normal Sudoku grid as badly as we possibly can. That is, we strive to enter the digits from 1 to 9 nine times each such that no row, column or box contains ...
Tim Seifert's user avatar
  • 6,579
14 votes
1 answer
1k views

NONODOKU, A new game

Nonodoku is a new variant of Sudoku. In this game, the numbers in each row indicate the relative order of the values in that row, but not their exact positions. For instance, in the second row, if the ...
Xavier Castillo's user avatar
0 votes
0 answers
91 views

How many clues are sufficient to solve an X-Sudoku puzzle?

I've heard that for standard Sudoku a minimum of 17 clues are needed to solve a puzzle, but I imagine it might be slightly less in the variant X-Sudoku, because I assume there would be slightly fewer ...
DJMoffinz's user avatar
14 votes
1 answer
426 views

Stacked Nurikabe

My first go at puzzle construction! It's basically Nurikabe, but you have two boards stacked on top of each other, e.g. the first over the second, and the original constraints must still be satisfied ...
mintmocha's user avatar
  • 317
7 votes
1 answer
168 views

Happy birthday, Bernardo - Colombian Sudoku

Bernardo, hb!!! This is a Colombian sudoku made in honor of my friend Bernardo Recamán, for his birthday. Complete the sudoku on the left so that each row, column, 3x3 square, and cell of the same ...
Xavier Castillo's user avatar
10 votes
1 answer
1k views

How to finish off a sudoku with lots of options?

The Sudoku below has difficulty approx 4/10, so it's supposed to be quite simple. However, I'm stumped. Can someone give me some tips here? I'm not looking for the solution, only strategies for how I ...
Stewie Griffin's user avatar
1 vote
1 answer
106 views

Shikaku grid deduction puzzle

Japanese publisher Nikoli produces this geometric logic puzzle. Can you divide this grid into rectangular and square pieces such that each piece contains exactly one number and each number reflects ...
Hemant Agarwal's user avatar
11 votes
1 answer
834 views

🧩CRYPTICROSS🧩

You’ve been framed for the heist of a famous painting! Can you sort out the clues and come up with a convincing alibi? Solve it on Penpa+! Note: Although not necessary to solve this puzzle, the ...
DanDan面's user avatar
  • 1,556
14 votes
1 answer
672 views

Double Grid Miracle Sudoku

A miracle sudoku is a name of a sudoku given with what looks to be so minimal information that it at first seems impossible to work, first started and mentioned in this video by Cracking the Cryptic. ...
Stevo's user avatar
  • 2,967
1 vote
1 answer
118 views

Mini spiral - Colombian Sudoku

Fill in the sudoku on the left so that each column, row, box, and section of the same color contains the numbers 1 to 9. The dots indicate how many numbers in the corresponding row or column of the ...
Xavier Castillo's user avatar
5 votes
2 answers
620 views

Explain This Star Battle Clue

I'm playing a 2-star 9x9 grid game. The app provides incremental clues when requested. In this scenario, the clue states "the green region cannot be finished." I'm just not seeing it, nor ...
Robert Chapin's user avatar
16 votes
1 answer
879 views

Solid border Yin-Yang

Yin-Yang is a grid deduction puzzle with the following rules: Fill each cell with either a black circle or a white circle. All circles of a given color must form a single orthogonally-connected ...
Sneftel's user avatar
  • 3,503
7 votes
1 answer
414 views

Colombian Sudoku, Cows and Bulls again…

Fill the sudoku on the left so that each column, row, box, and colored box of the same color contain the numbers 1 to 9. The dots show how many numbers in the row or column of the grid on the right ...
Xavier Castillo's user avatar
2 votes
1 answer
203 views

What is the name of this puzzle type? How to create one? nxn grid where you select n cells with different numbers

I want to create a specific puzzle, but I'm wondering if it already has a name, and if I can find some pointers on how to make it hard. I have a NxN grid filled with numbers going from 1 to N. I want ...
Liam Stygian's user avatar
10 votes
2 answers
629 views

Fill the triangular grid using the digits 1-9 subject to the constraints provided

Fill the grid using the digits 1-9 four times each. No row or column can contain the same digit more than once. The total of each row and column is provided, as well as clues to the numbers forming ...
Will.Octagon.Gibson's user avatar
4 votes
3 answers
842 views

Eliminate some numbers so that each of the three rows contains the numbers 1 through 9 each exactly once

Beginner puzzle This puzzle is intended to be suitable for people who are new to puzzle solving. Clarification: Both experienced solvers and new solvers are welcome to post solutions to this puzzle. ...
Will.Octagon.Gibson's user avatar

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