Logic Masters Deutschland e.V.

Rank Sideways (Diagonal Full Rank Balanced 5x5 Sudoku)

(Published on 24. October 2025, 06:21 by Nell Gwyn)

  • Place the numbers -2 to 2 once each in every row and column.
  • Diagonal Full Rank: Each of the 36 possible diagonal lines across the grid (including each of the four corners, each read from both directions) is read as a 1-to-5-digit number in the balanced quinary numeral system (for example, the number (-2, +1, +2) is interpreted as (-2 * 25) + (+1 * 5) + (+2 * 1), giving a total of -43).
    • Clues outside the grid indicate the "rank" from 1 to 36 formed by reading the indicated diagonal from the direction of the arrow, where higher numbers have higher ranks than lower numbers.
    • If two ranks are tied, the value in both clues is the lower of the two ranks being shared. For example, if the lowest four numbers were (-2, +1, 0, -1, 0), (0, -1, 0, +1, -2), (-1, 0, +1, -2) and (-1, +2, 0, +2), the value of their clues would be (1), (2), (2), (4) respectively.
  • Some clues are given as inequalities, ">" meaning "greater than" and "<" meaning "less than."

LINKS:

SudokuPad (for the answer check, enter the absolute value of each digit)

Penpa (no answer check, but has more flexible notation options)

Solution code: The top row followed by the bottom row, left to right, with "-" to indicate negative numbers (e.g. -2210-1-1021-2)


Solved by zeniko, MattYDdraig, jhrdina, NXTMaster
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Comments

on 24. October 2025, 07:43 by zeniko
This puzzle was more approachable than the last one (or maybe I‘m just getting used to the ruleset, which is starting to grow on me). Nice geometry, allowing for just three clues for determining the unique solution! Thanks for sharing.

Difficulty:4
Rating:N/A
Solved:4 times
Observed:0 times
ID:000PTV

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