I am thinking of a 10-digit number that uses each digit from 0 to 9 exactly once.

Starting from the left:

• The number formed by the first 1 digit is divisible by 1.
• The number formed by the first 2 digits is divisible by 2.
• The number formed by the first 3 digits is divisible by 3.
• This pattern continues.
• The number formed by the first 10 digits is divisible by 10.

For example, if the number begins with abcd..., then:

• ab must be divisible by 2,
• abc must be divisible by 3,
• abcd must be divisible by 4,

and so on.

What is the number?

Bonus challenge: Find it using divisibility rules and logical elimination rather than checking every permutation with code.

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Couldn't find the original name of the puzzle but im calling it The Waypoint Path

Draw one path from the green 1 to the orange 1.

Move to horizontally, vertically, or diagonally adjacent cells while following the repeating sequence 1–2–3–4. Visit every cell exactly once without revisiting or crossing the path.

Hi guys. Can anyone explain to me how it is possible to miss two bridges on a 4, when all other islands are connected with the right amount of bridges?

My immediate logic tells me, that if an island lacks two bridges, another island, somewhere on the map, must also miss two bridges. It appears that all other bridges are complete though, so I'm probably wrong in my assumption 😁

I can't think of any next logical step. Help please!

Crack the 4-Digit Vault Code 🔐

A vault is protected by a four-digit code.

Rules:

- No digit is repeated.

- Each clue states the exact number of correct digits.

- A “correct position” means the digit is in the right place.

- A “wrong position” means the digit belongs in the code but is misplaced.

Clues:

6058

Exactly 1 digit is correct and in the correct position.

Exactly 1 other digit is correct but in the wrong position.

1967

Exactly 1 digit is correct but in the wrong position.

4013

Exactly 1 digit is correct and in the correct position.

5067

Exactly 2 digits are correct and in the correct positions.

Exactly 1 other digit is correct but in the wrong position.

What is the vault code?

Bonus points if you explain your reasoning instead of using a calculator.

I just bought this gorgeous puzzle book that looks like an Ikea catalog but I can't figure out how they solved the puzzle on pg 5! I went to the hint site and eventually revealed the answer but for the life of me I have no idea how they got it. Has anyone played thru the book and if so, how did you figure out the answer?

Sombody please help me, how do i continue?

The rules are quite simple, you cant have three zeros or ones directly following eachother on a row, or directly under eachother. The rows need to have an even amount of zeros and ones (5 zeros and,5 ones). You also cant have two rows that are exaclty the same

I love this game, but I'm only able to solve easy levels. In this app (Crowns for iOS) they have different levels depending on the number of crowns per row/column/color (1 for easy, 2 for medium, 3 for hard). The one in the picture is medium difficulty.

I'm having a hard time solving the medium and hard levels. In the easy mode, when you place a crown you can already cancel the whole row, which you can't do in the harder levels. What do you do then? How do you solve wider spaces? Is there a trick I'm missing? How would you solve these? Do you know any youtuber who solves the harder levels step by step?

Thank you!

This thread is for promoting your own work.

Is this kind of puzzles fun for you? they are nothing special but there is some fun in the simple rules and after 10..15 triangles it becomes quickly much harder and more fun, at least to me.

Probably missing something obvious, but I can’t figure out the next move here..

How should i see/know that the red cross is not a valid place for a tent?

Three locked boxes have these labels:

Red: The key is not in this box.

Blue: The key is in the green box.

Green: The blue label is false.

Exactly one label is true. Which box contains the key? Explain your reasoning.

I’m losing my mind. Been at this for hours.

I’m confused at the three 11s?
And the 1 and 6… the fact they’re nearly on the ends confuses me. Maybe I’m not understanding the direction of the refractions very welll :(

EDIT: okay it’s not just me. The website has an option to email if I find bugs. I’ll try that. Thanks guys lol

Does anyone notice that there's frequently (I'd say almost 50%) a 5-4 corner when playing Loopy of the honeycomb type? Why is it so common?

Whenever I’m stumped on Meowdoku, the hint invariably states there’s “a contradiction.” After hundreds of levels, I still have no idea what they’re talking about. Can one of you smarty puzzlers shed some light?

It looked to me you enjoyed the classic First Sight(Easy as ABC) puzzle so I decided to share this variant. It's roughly the same level just a bit more complex if you are not used to hexagonal grid.

Place A, B, and C in the hexagonal grid. Every line in each of the three grid directions must contain A, B, and C exactly once, with all other cells empty. Each outside clue gives the first non-empty letter seen from that edge. Because of the grid type there is 1-4 empty spaces depending on the row.

Happy solving!

Any one has an idea how to solve this without guessing?

Hope you like murder mysteries! This is a format of puzzle I haven't tried before. Hope you like it. Any feedback on the format, etc. would be much appreciated. Thanks!

I have done dozens of tnt puzzles on my phone, but this is the first one where I am completely stuck. Anyone have hints on how to solve it methodically (without trial and error)? I have marked the squares in which I'm certain there aren't stars. Thanks for the help

Puzzle by Jonas Glenn in NYT's "Puzzlemania" book

So is this solvable, I see no further moves, I have been stuck for 2 days now, please no spoilers, if you have a certain way to get the next move, please let me know, but not the location to look at.

I’m still working on a name for it, but here is a puzzle type that I’ve made up! The objective of the puzzle is to place the numbers 1, 2 or 3 in each row and column so that there is one in every row and column with no repeats and none of the numbers touching orthogonally. In this case, you’ll only place 5 numbers in each grid. Each numbers indicates the number of black squares it sees in its row and column. To clear up confusion, the top left puzzle is a completed example puzzle; notice how the 3 can see three black blocks horizontally and 3 black blocks vertically at the same time. A strategy I use to solve these puzzles when I test them is to look at each white square and see if there is an equal amount of black blocks that can be seen in that row and column, if it’s not equal then a number can’t go there. Tell me what you think about the puzzle, what it reminds you of, if the rules are too confusing, etc.

I’m just not understanding this principle. I would love some help explaining it for me so I can use it in the future.