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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PSE Advent Calendar 2021 (Day 17): That's the way the cookie crumbles

This puzzle is part of the Puzzling StackExchange Advent Calendar 2021. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door > In our house,...
Jeremy Dover's user avatar
  • 26.3k
17 votes
2 answers
672 views

PSE Advent Calendar 2021 (Day 15): Optics Experiment

This puzzle is part of the Puzzling StackExchange Advent Calendar 2021. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door > Optics ...
hb20007's user avatar
  • 680
9 votes
2 answers
522 views

Christmas tree LITSO

Inspired by PSE Advent Calendar 2021 (Day 13): A Christmas Hokuro, I challenged myself to create a Christmas tree-shaped puzzle. Unfortunately I had to edit the shape a little bit because... reasons. ...
Bubbler's user avatar
  • 11.6k
15 votes
1 answer
735 views

PSE Advent Calendar 2021 (Day 13): A Christmas Hokuro

This puzzle is part of the Puzzling StackExchange Advent Calendar 2021. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door > Hokuro is a ...
sarsaparilla's user avatar
  • 5,208
8 votes
3 answers
317 views

Place digits from 1 to 7 into each row and each column of the grid once. Numbers in the circles give the product of the four surrounding digits

What is the way to resolve the following puzzle? Link to source. It's from a taiwanese math olympiad held in 2005.
Grace's user avatar
  • 81
14 votes
2 answers
836 views

PSE Advent Calendar 2021 (Day 4): Decorating with Ingrid Deduction

This puzzle is part of the Puzzling StackExchange Advent Calendar 2021. The accepted answer to this question will be awarded a bounty worth 50 reputation. < Previous Door Next Door > "...
Jeremy Dover's user avatar
  • 26.3k
15 votes
2 answers
836 views

PSE Advent Calendar 2021 (Day 3): Tentai Show

This puzzle is part of the Puzzling StackExchange Advent Calendar 2021. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door > Divide the ...
Jafe's user avatar
  • 76.5k
5 votes
1 answer
280 views

10x10 Fillomino

Interactive solving website For help/rules on solving, please look at the website's "help" section, which lists fillomino rules. Please use the website to solve the puzzle unless you are ...
user avatar
16 votes
2 answers
1k views

The Golden Age of Sudoku

Rules: Each cell contains one of the following symbols: A23456789TJQK. No two cells in the same row or column have the same symbol. The grid is divided into 11 square regions of different sizes. A ...
happystar's user avatar
  • 7,434
4 votes
1 answer
825 views

Am I able to mark mines with the bottom row of 3's?

Am I able to use the bottom row of 3's to know what some of the squares around it are?
Kian's user avatar
  • 181
4 votes
2 answers
480 views

Very close to solve the sudoku puzzle but yet not solved

I found an X-Wing pattern using 1's on r29c48 and eliminated the 1's on r1c8, r3c8, r7c8, and r3c4. Lots of elimination but that was not helpful for me to crack it. I think I am very close to solving ...
Subrato Pattanaik's user avatar
5 votes
3 answers
2k views

Is there anywhere else I can go without guessing randomly?

I’ve been looking at this board for a little while, and can’t seem to find any places to go where I don’t have to guess. Is guessing the only thing I can do here, or are there strategies that I’m ...
Kian's user avatar
  • 181
1 vote
1 answer
178 views

How do I know where the bombs are?

I’m not sure how I would know, because in the top right corner, where there is a 2, 3, 2, going down, the bottom two needs to touch two mines and so does the top. But if I did the immediate right ...
Kian's user avatar
  • 181
0 votes
1 answer
134 views

Is there any sudoku logic on 6's?

I find this sudoku puzzle very difficult. I think there is some logic on 6's.
Subrato Pattanaik's user avatar
0 votes
1 answer
172 views

How could I have known not to go here?

How could I have known not to press where the red bomb is?
Kian's user avatar
  • 181
0 votes
2 answers
107 views

Which sudoku logic should I apply here?

I was able to eliminate 1 in r8c1(in short selected cell) using Finn X wing using 1's on r17c15 and Finn is on r7c3. But it seems like that logic is not enough to make it to half way of this sudoku.
Subrato Pattanaik's user avatar
2 votes
2 answers
314 views

Missing logic in sudoku puzzle

I got stuck in the given sudoku puzzle. I can't find any logic to put a number in the empty block. I am playing classic sudoku Android puzzle app. Maybe it's a XY wing or empty rectangle or any other ...
Subrato Pattanaik's user avatar
22 votes
1 answer
1k views

The Tree is Growing

I just found this new type of puzzle and I think the rule set is fun! So, I decided to create one. Rules (taken from the original puzzle): Create non-intersecting non-looping trees such that the ...
Nusi's user avatar
  • 918
1 vote
1 answer
370 views

Find the hidden message in... this grid

(So I made this puzzle, and I wanted it to be fun rather than difficult! I hope it’s original enough) Given a 5x5 grid as input, here’s an algorithm: randomly select any 3x3 grid within the 5x5 grid ...
numdar335's user avatar
2 votes
1 answer
687 views

Can you check the results of this chess match?

As the sun broke the horizon I could feel the cold breeze on my face mixing with the warming city air. Like most mornings, I could hear Mr. and Mrs. Shamming discussing their afternoon plans during ...
Hazel へいぜる's user avatar
16 votes
1 answer
782 views

Ripple Effect ... with Inequality Sign

I was making ripple effect but failed on uniqueness. That leads me to think of using inequality signs to fix the puzzle. Then, I'm wondering, what if, I make a new one with intentional inequality ...
Nusi's user avatar
  • 918
3 votes
1 answer
219 views

Cube Connect Challenges

Cube Connect is a Flow-like mobile puzzle game on the surface of a cube. Rules of Flow (which is simply Numberlink with colors instead of numbers; copied from Nikoli rules with small modification): ...
Bubbler's user avatar
  • 11.6k
8 votes
1 answer
307 views

Themed Boggle Grids

Inspired by this puzzle, I created (or discovered) these grids. Within each Boggle board is a set of words with a common theme. To make a word in Boggle, connect some letters horizontally, vertically, ...
Scratch---Cat's user avatar
9 votes
1 answer
360 views

Double Choco: I love myself

Rules of Double Choco: (copied from here) Divide the grid into regions by drawing along some of the dotted lines. Each region should have one group of gray cells and one group of white cells; both of ...
Bubbler's user avatar
  • 11.6k
13 votes
1 answer
558 views

Pipelink: A Cat for jkittykitkat

Rules of Pipelink: Draw a loop through the centers of all cells. Two perpendicular line segments may intersect (cross) each other, but not turn at their intersection or otherwise overlap. Clues show ...
athin's user avatar
  • 34k
5 votes
3 answers
363 views

Filling a grid with skinny trominoes which have arrows on their ends

Let's have a 10x10 square grid with 7 empty small squares. This grid is to be filled with skinny trominoes which have arrows at their ends (see figure 1). What is the maximum number of arrows which ...
Vassilis Parassidis's user avatar
15 votes
2 answers
918 views

Imagine a Sudoku with Text-Only: A Gridless 6x6 Antiknight Antidouble Sudoku

Imagine the following Sudoku: Imagine the Sudoku has a 6x6 grid with standard boxes, 2 rows and 3 columns each; and standard digits, 1 to 6. Imagine it has an antiknight rule: identical digits cannot ...
athin's user avatar
  • 34k
6 votes
4 answers
1k views

Train Tracks: is there a unique solution?

In the last year or so a puzzle has been appearing in 'The Guardian' (a UK newspaper). It looks like this: and the instructions are as follows: Lay tracks to enable the train to travel from village ...
quilkin's user avatar
  • 183
17 votes
3 answers
624 views

Oh no, my puzzles are corrupted! What should I do? :(

This morning, I made three small and easy puzzles to be posted today. However, when I come back from my lunch, all of my puzzles are corrupted! :( The first one is a standard Curve Data puzzle. ...
athin's user avatar
  • 34k
3 votes
2 answers
325 views

It's kind-of like Minesweeper

Have you ever played "Minesweeper" or "Lights Out!" and wondered what it would be like to reverse the process? Me too! Say hello to a 10 by 10 grid that I like to call "Number ...
Hazel へいぜる's user avatar
4 votes
1 answer
758 views

A 4x4 grid of red?

How is this 4x4 grid of red, colored? The only hint I'll give is that
Hazel へいぜる's user avatar
6 votes
3 answers
466 views

Spin the letter-squares!

Spin the letter-squares! A 5x3 grid of letters, e.g., a b c d e f g h i j k l m n o can be rearranged by spinning either the 3x3 section centered at the second letter of the second row (in this case ...
C. P. Boyko's user avatar
3 votes
1 answer
204 views

Let's settle our differences

Can you complete this grid and expose the existing relationships? There are no complex operations (e.g. no exponents, square roots, functions, etc), additionally the numbers are all natural numbers ...
Hazel へいぜる's user avatar
3 votes
2 answers
397 views

Impasse with this Sudoku puzzle

This was an advanced puzzle, and I managed to take it as far as possible. Now, I am stuck. I have tried many advanced patterns to no avail. I could use some pointers. It's from an IOS app called &...
jujiro's user avatar
  • 31
8 votes
1 answer
669 views

Can you reactivate a 4x4 Magic Square?

We've already removed the magic from a 3x3 magic square. Recently, one of our 4x4 magic squares was scrambled in an earthquake and I need your help to reactivate it's magic: Objective Your objective ...
Hazel へいぜる's user avatar
3 votes
2 answers
510 views

Fix this puzzle, please!

My students claim that this disconnect four puzzle (fill the grid with crosses and zeros, such that no four equal symbols appear in a row. Rows can be horizontal, vertical, or diagonal) does not have ...
Bernardo Recamán Santos's user avatar
6 votes
3 answers
915 views

Help solving this sudoku?

I went up in difficulty on my Sudoku app (Enjoy Sudoku app on Android). I keep getting mostly through them; however, I keep getting stuck towards the end of the puzzle. An example is shown below. Can ...
user1543042's user avatar
9 votes
2 answers
419 views

Orthogonal Sudokus

This a Sudoku puzzle created by Paul Vaderlind. Fill each cell with 2-digit numbers from 11 to 99 (without the digit 0) such that The first digits represent one regular Sudoku grid. The second digits ...
Dmitry Kamenetsky's user avatar
12 votes
1 answer
298 views

KPK 2021 Leftover: Double Back (Little Killer)

Rules of Double Back: Draw a non-intersecting loop through the centers of all empty cells. The loop passes through each region exactly twice. These two puzzles are the leftover of KPK 2021. The ...
athin's user avatar
  • 34k
13 votes
2 answers
955 views

Remove the magic from a 3x3 Magic Square

It's commonly stated that there is only one solution to the 3x3 magic square. This is simply because every variant found is simply a rotation, reflection or both of any other variant. Once such ...
Hazel へいぜる's user avatar
8 votes
1 answer
158 views

Trichain: Tetrachain

This is a Trichain puzzle. The rules of Trichain are as follows: Numbers must be white, and match the size of their white islands. Each white island can only contain at most one number. Some white ...
Avi's user avatar
  • 10.4k
3 votes
1 answer
220 views

Most leads in a "difficult" Sudoku

Since "difficult" is undefined, let me define it arbitrarily: A Sudoku is difficult if it can't be solved by only considering singles (naked or hidden), the most basic solving strategy. How ...
Hauke Reddmann's user avatar
11 votes
2 answers
579 views

Confectionery Crime Conundrum

Yesterday I received one of the strangest cases of my career as an I.S. PI (Insightful Sleuths Private Investigator). I was reclining in my chair, working on the latest crossword puzzle when I ...
Avi's user avatar
  • 10.4k
11 votes
1 answer
240 views

Tiling three pears with three-pair hexominos

The 21 hexominos below are all those that can be made by joining three dominos together (i.e. they have a perfect matching with respect to the graph of their squares) and are not rectangles. The ...
Parcly Taxel's user avatar
  • 6,996
0 votes
1 answer
176 views

Does every validly posed Sudoku have at least one solution and if not what is the minimum number of givens for it to be unsolvable? [duplicate]

Does every validly posed Sudoku (doesn't break any Sudoku rules so only no duplicate 1 to 9 in rows, columns or square) have at least one solution, and if not, what is the minimum number of givens for ...
user2617804's user avatar
20 votes
1 answer
1k views

Tapata (Tapa variation)

Rules: Shade some cells so that all shaded cell form one orthogonally connected area. Numbered cells are either tapa clue (represent the lengths of the shaded cell surrounding that clue) or pata clue ...
Nusi's user avatar
  • 918
33 votes
2 answers
3k views

Sudoku on a Mobius Strip

Well we've done sudoku on keyboards, so the next step is obviously putting a Sudoku on a Mobius strip... of course... I present, the world's very first MOBIUS SUDOKU: Now this sudoku is going to be a ...
Beastly Gerbil's user avatar
10 votes
2 answers
2k views

Strategies for Circuit Board Puzzle from NYT

The New York Times publishes a collection of variety puzzles each week, and new to the rotation recently is one called "Circuit Board". Here is an example of a puzzle (I added coordinates ...
DreiCleaner's user avatar
3 votes
1 answer
224 views

How many Hoshi (Star Sudoku) are possible?

A gifted Sudoku booklet's Hoshi are (almost? - I did only spot checks) all identical, except for number permutation and leads. An excuse for this would be if there were only one legit Hoshi. How many ...
Hauke Reddmann's user avatar
2 votes
1 answer
304 views

Mysterious Deaths, or is it just a well known attack?

Last week you were promoted to the position of Sergeant Head Detective of Australia, which basically means the best detective in Australia. Its January 2019, and you wake up ready for your new job. ...
Stevo's user avatar
  • 2,559

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