Modular Zigzag
(Published on 8. October 2025, 08:00 by Kaktuslav)
Link to SudokuPad: https://sudokupad.app/urooueeutg
Rules: Normal sudoku rules apply. Digits cannot repeat along the marked diagonal.
Global mod-3: Every 2×2 square of cells must contain all three possible remainders modulo 3 (i.e. at least one digit from each of the sets {1,4,7}, {2,5,8}, and {3,6,9}).
E-SW path: Draw a path starting in the top-left corner cell and finishing in the bottom-right corner cell, visiting every 3×3 box at least once. In a single step, the path may move only east (→) or southwest (↙).
Modular region-renban line: Any three consecutive digits along the path must have three different remainders modulo 3. Box borders divide the path into segments; each segment is a renban, i.e. it must contain consecutive, non-repeating integers in any order.
Rules: Normal sudoku rules apply. Digits cannot repeat along the marked diagonal.
Global mod-3: Every 2×2 square of cells must contain all three possible remainders modulo 3 (i.e. at least one digit from each of the sets {1,4,7}, {2,5,8}, and {3,6,9}).
E-SW path: Draw a path starting in the top-left corner cell and finishing in the bottom-right corner cell, visiting every 3×3 box at least once. In a single step, the path may move only east (→) or southwest (↙).
Modular region-renban line: Any three consecutive digits along the path must have three different remainders modulo 3. Box borders divide the path into segments; each segment is a renban, i.e. it must contain consecutive, non-repeating integers in any order.
Solution code: Row 8
Last changed on on 8. October 2025, 10:53
Solved by damyan_rm, RailMan, deltameth, SKORP17, superkinkel, TripleABattery, Scorps, VicJameson, brimmy, IcyFruit, clock, Exigus, Myxo, MixedMathialArts
Comments
today, 12:05 by Exigus
"How am I supposed to even start? Ooh, wow, ok very cool". Thanks!
on 8. October 2025, 16:25 by deltameth
Cool puzzle, not very difficult, but very engaging. Thank you also for the best solution code I’ve seen.
