Logic Masters Deutschland e.V.

Pathological Cleanliness

(Published on 6. November 2022, 02:47 by gurgilewis)

There is no mistake: The starting grid is completely blank.
  1. Standard sudoku rules apply (each digit must appear in every row, column, and 3x3 box.)
  2. For each row N other than the center row, the sum of each consecutive N cells in the row must have the same remainder when divided by N. (The first and last rows are effectively unconstrained.)
  3. The 1 on the top edge must be connected to the 9 on the bottom edge.
  4. The 1 on the left edge must be connected to the 9 on the right edge.
  5. Three of the 9s must each be connected to at least five different 1s.
  6. Two numbers are connected if there is a king's move path of consecutive digits counting up from one to the other.
Example of row rule where N=4 (When you add any group of four consecutive cells on row four and divide the sum by four, the remainder must always be the same.)
Example of left edge to right edge path:
Solve on f-puzzles

Solution code: Rows 5 and 9

Last changed on on 6. November 2022, 02:57

Solved by Yawnus, Stormiar, IEEE754
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Comments

on 6. November 2022, 12:33 by Yawnus
Incredible construction!

on 6. November 2022, 02:57 by gurgilewis
Added f-puzzles link

Difficulty:5
Rating:N/A
Solved:3 times
Observed:7 times
ID:000BX4

Path puzzle

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