# Tag Info

### How do I determine whether a 5x5 Lights-Out puzzle is solvable without trying to solve it?

To test if a 5x5 Lights Out pattern is solvable, you need to check two things. First look at the top, middle and bottom rows, at the first two and last two lights - the 12 lights bolded here: [1, 0, ...
• 50.8k
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### A Trivial Pursuit #25: Meta-Analysis

The overall answer is a very fitting trivial pursuit: Or is it 20 words? (Or does the hyphen make it 21?) Which happens to be the How did we get here? Many probably saw this outright but I was ...
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### Double Choco: Snaking

First Then Breakthrough Finshing
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### 160 foxes are stuck on an island with 1 chicken. Will the chicken be eaten?

Let's start with a different scenario: Now, Therefore, However, I'm beginning to see a pattern here: Therefore, in our original scenario with 160 foxes,
• 9,240
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• 2,976
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### A Hidato, but with a complex twist!

Solution: Step by step: 1: 2: 3:
• 56.4k
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### Minimum Races for Top 3 horses

I think races suffice to get the group of the top 3 but we won't necessarily know the order among them. Start out as you said with making 6 groups of 6 horses and race each group. Then race the the 6 ...
• 1,661
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### Equality-breaking function

$f(x)$ is a function that: Verification: There is probably some more precision in the definition that I'm missing (to explain the last property), but I'm quite confident the general idea is in the ...
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### Another puzzle combination (feat. Kakuro)

Well, that's an unusually neat Kakuro solution: Presumably the other puzzle is something that involves Yep, apparently it's called
• 116k
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### A (maybe) simple Hokuro puzzle

Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7
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### A fun and simple Nonogram... ...with a cipher

Even though it wasn't part of the original question, in the comments OP gave out this invaluable nugget of information: Since the nonogram was definitely difficult enough to warrant such trickery, ...
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• 4,469

### Equality-breaking function

As mentioned in juathalf's answer, the definition of the "function" $f$ is that But what is the most inclusive possible domain of $f$? A first attempt at answering that is to simply say ...
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### A Hokuro, but with a twist!

Solved nonogram (black denotes filled cells, grey denotes empty ones): Hokuro with colourings included (grey denotes "black" cells this time, white denotes empty ones): Filling in single ...
• 116k
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### A 6x6 table with nothing filled out?

The completed grid: Where do we start? Let's start solving:
• 14.2k
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### A Hidato, but with no given numbers? #2: 5x5

First we solve the nonogram There are Then we see that only one of the Then the two Since the yellow Now the yellow Finally the red
• 18.2k
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### A Hidato, but with no given numbers?

First off, Next, Finally,
• 25.7k
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### Filling in an 8x8 minesweeper grid with mines (Day 8: Not a single mine)

The completed grid: Solve path:
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### The puzzle of the day

Another solution, nicer in my opinion...
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• 524

### Knights and knaves variations

"You can only ask one of us. It’s in the rules. And I should warn you that one of us always tells the truth and one of us always lies." *"Two guards are standing before two doors. One ...
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### A question from Bob to Bob

Brief: Day 1: Bob shares with John a question about day 2 of a fact that John can physically control. John leaves the room. Day 2: Nothing/Something happens. Day 3: John enters the room. John read ...

### Press The Grue Button

The fastest way to achieve success is:
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### Sudoku variants #2: Lined Numbers (6x6 grid)

Solution: Step by step: 1: 2: 3:
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### Turn Back the Clocks

Partial solution Completed slitherlink: Steps taken:
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### What is the next logical step I can take when solving the Nov. 30 2023 Sudoku in the Wisconsin State Journal?

There are a number of techniques that are available at this stage. The first one that jumped out to me was a: Looking at: We see that:
• 13.3k
1 vote
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### Filling in an 8x8 minesweeper grid with mines (Day 10: Double Neighbors)

The completed grid: The solve path:
• 14.2k
1 vote
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### Anyone up for a 3x3x3 Hidato?

Here is a solution: Multiple solutions are possible:
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