Logic Masters Deutschland e.V.

Paritriplicates

(Eingestellt am 3. Dezember 2022, 03:22 Uhr von Dave Sandwich)

Paritriplicates


Example: Rules:

  • Normal sudoku rules apply.
  • Equal Sum Lines (NOT regional): The sum of digits along a red line must be the same for all red lines; the sums are unaffected by regions.
  • "Paritriplicates":
  • A Paritriplicate is a set of three consecutive diagonally adjacent cells that contain the same digit. All three cells in a set are in a straight line, either positively or negatively diagonal. There must be as many Paritriplicate sets in the grid as possible (i.e., if three diagonally adjacent cells in a straight line can contain the same number, then it must be a Paritriplicate.)
  • The even/odd parity of all positive diagonal Paritriplicates must be the opposite parity of all negative diagonal Paritriplicates (and vice versa). The parity must be determined by the solver.
  • Outside clues:
  • A number outside of the grid represents the sum of all the odd (if it is orange) or even (if it is blue) Paritriplicate cells seen in the corresponding row or column.
  • Additionally, the color of a number outside of the grid indicates the parity of the first Paritriplicate seen in the row or column from the direction of the clue (where orange = odd, and blue = even).

CTC app link: Click Here

Enjoy!

Lösungscode: Row 1 left to right followed by row 9 left to right (18 digits, no spaces)

Zuletzt geändert am 6. Dezember 2022, 01:56 Uhr

Gelöst von Dentones, Entropywins, sth
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Kommentare

am 6. Dezember 2022, 01:56 Uhr von Dave Sandwich
changed labels

Zuletzt geändert am 5. Dezember 2022, 03:30 Uhr

am 4. Dezember 2022, 23:15 Uhr von sth
The paritriplicates have surprisingly many interesting implications that are used to solve the puzzle. Very enjoyable!

Reply: Thank you! I'm glad you enjoyed it!

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