Logic Masters Deutschland e.V.

Twice as sweet

(Published on 15. June 2025, 00:37 by Merdock)

Click here to solve puzzle.

Note:

I have updated the puzzle to be more user friendly. All of the logic is exactly the same, but the rules should be more concise, the cells the correspond to the skyscraper clues are marked, and notes for the skyscraper clues are able to be placed outside of the grid. While I feel it is important to keep the original puzzle up, the following link should be easier to use.

Click here to solve the updated puzzle.

Rules:

Normal Sudoku Rules:

The digits 1-9 appear once each in every row, column, and square.

Kropki Dots

Black dots separate digits with a 1:2 ratio. Not all dots are given

Concatenated Palindrome Line:

Digits on the thin grey line must be the same read backwards and forwards. Additionally, this line has a value that is determined by concatenating the digits of one half of the line, including the center digit. For example, if the numbers on a palindrome going from one end to the other are [2, 4, 6, 4, 2], then the line has a value of 246.

Concatenated Line:

The thick red line has a value that is found by concatenating the digits starting from the red circle. For example, if the numbers on the thick red line starting at the red circle are [5, 8, 2], then the line has a value of 582.

Line Ratios:

The value of the thick red line is twice the value of the thin grey line.

Skyscraper:

Each digit in the grid represents the height of the skyscraper in each cell. A digit outside the grid indicates the number of skyscrapers seen from the corresponding direction. Taller skyscrapers conceal smaller ones. (Example: 4 outside of the grid could represent 3, 1, 6, 2, 7, 4, 9, 8, 5. The 4 outside of the grid sees the digits 3, 6, 7, and 9. The digit 1 is hidden behind the digit 3)

Disguised Digits:

Digits outside of the grid have disguised themselves as Greek letters. Each digit has disguised itself as a unique letter, even if that digit is not unique. (For example, you might find that both λ and δ represent the digit 4)

Deciphering Letters:

The value of the letters are directly related to the two lines in the grid. The value of the letters above the grid are equal to the digits on the thick red line, starting at the red circle. There are three letters on each side of the grid. These letters, read from top to bottom, are equal to the first three digits, read from either end point, of the thin grey line.

An example that combines these rules together would be a palindrome line with the digits [2, 6, 7, 1, 7, 6, 2], which would have a value of 2671. This would force the thick red line to have a value of 5342. This would mean that starting at the red circle, the digits on the red line would read, [5, 3, 4, 2]. The digits on these lines would mean that the letters at the top of the grid, read left to right, would be [5, 3, 4, 2] and the letters on each side of the grid reading from top to bottom would be [2, 6, 7]

Example of rules

Solution code: Row 2 and Row 6 read left to right

Last changed on on 30. January 2026, 06:15

Solved by SKORP17, kirito360, chenghui, dade, mnhuik, Katchoo
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Comments

on 10. February 2026, 09:16 by Katchoo
At first, I assumed the red line was a thermometer. But it isn't. Once I realized that, I found a very nice, smooth way to solve it. A really cool idea. :)

on 30. January 2026, 06:11 by Merdock
Updated puzzle line with puzzle that is designed to be more user friendly.

Updated formatting to make page easier to read

Difficulty:3
Rating:N/A
Solved:6 times
Observed:4 times
ID:000NSN

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