Scattered Thunderstorms
(Published on 4. October 2024, 18:18 by bodemeister)
Rules:
- Doppelganger (with an extra twist): Place the digits 0-9 in the 9x9 grid (one digit per cell) so that each row, column, and box is missing one digit from 1-9. Digits may not repeat in any row, column, or box. Digit 0 appears 9 times, and the remaining digits appear 8 times each. For each 0 in the grid, the digit missing in that 0's row and column must be different. Furthermore, the digits missing in a 0's respective row or column must both appear in the bottom right 2x2 corner of that 0's box.
- 1/9 Indexing: If cell (x,y) contains digit 1, then cell (x,1) contains digit y and cell (1,y) contains digit x. If cell (x,y) contains digit 9, then cell (x,9) contains digit y and cell (9,y) contains digit x.
- Each digit on a red line must appear on the other red line.
Solution code: Row 4 of the 9x9 grid (left to right) followed by Column 4 of the 9x9 grid (top to bottom).
Comments
on 15. December 2024, 15:11 by wullemuus
Congratulation to this extraordinary puzzle. Almost no hint and though it could be solved! For I love Doppelgänger puzzles it was a pleasure to bring it together with the indexing ruleset. Maybe you could share with me your logic again ....
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Wow impressive work wullemuus! Thanks for solving this beast. I was worried this puzzle might stay at 0 solves after the first few people who looked at it didn't solve it, but I no longer have to look sadly at the 0 solve number anymore! Sure I'll send some of the key ideas in a hidden comment.
on 5. October 2024, 15:31 by bodemeister
Clarified the rules
on 5. October 2024, 15:04 by andreatetta
Two question about the rules:
1. "Furthermore, a digit missing in a 0's row or column must appear in (here's the extra twist) the bottom right 2x2 corner of that 0's box." Do you mean both digits or at least one?
2.The coordinate (x,y) indicates row x column y?
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1. Both missing digits must appear in the bottom right 2x2 of the 0's box. I'll update the rules for clarity.
2. Yes (x,y) is row x column y.
