Logic Masters Deutschland e.V.

Twice as sweet

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

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The Rules are below, and at the bottom of the page is an example to help display how some of the more unique rules work together

Normal Sudoku Rules apply: The digits 1-9 appear once each in every row, column, and square.

Black Kropk Dotsi: Black dots separate digits with a 1:2 ratio.

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,

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]

No negative constraints: for example, not every pair of digits with a 2:1 ratio is marked with a black dot

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

Last changed on on 15. June 2025, 16:09

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

on 15. June 2025, 16:09 by Merdock
Reduced the difficulty I thought it should be from 3 stars to 2 stars

Difficulty:2
Rating:N/A
Solved:5 times
Observed:1 times
ID:000NSN

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