Position Sums Fillomino #2
(Published on 23. October 2022, 05:47 by ONeill)
For reference, this grid is 13x13 with the central 5x5 missing. This one is less approachable than the first but no single step is too difficult. I hope you enjoy!
Rules:
1. Divide the grid into regions so that no two regions of the same size share an edge. Enter a number into each cell equal to the size of its region.
2. Let A and B be the digits in the first and second cells of the grid from any direction
a) Unshaded clues outside the grid indicate the sum of A and B
b) Shaded clues indicate the sum of the digits in positions A and B from that direction. Note that it is possible that A and B index the same cell. If A and B index the same cell, the sum is twice the value of the cell they index.
3. If a clue is circled, the cells that are part of its sum belong to the same region. If a clue is not circled, the cells that are part of its sum belong to different regions.
4. A question mark can stand for any positive integer (including 2-digit numbers).
Note: Although this grid has cells missing, indexing works as usual. That is, if r5c1 is indexing r5c13, its value is 13. For any shaded Ath+Bth clue, A and B cannot index a cell that would be in the central 5x5 area or fall outside the grid. Eg. 5 and 14 are not allowed in r7c1, but they are allowed in r13c5.
The puzzle:
Answer check is enabled with digits or green edges.
Solution code: Column 1
Comments
on 12. November 2023, 18:58 by lerroyy
Very nice!
on 27. February 2023, 21:42 by Niverio
We were so close to discovering the secrets of the universe... We fell off one short...
on 18. November 2022, 02:54 by Agent
Very nice puzzle! It's always very satisfying to work out these seemingly impossible regions :-)
on 14. November 2022, 13:22 by filuta
really great once again, felt easier than then the previous one, but perhaps I'm just getting used to this ruleset
on 25. October 2022, 07:51 by polar
Lovely puzzle, once again! I can certainly see the influence of the inspiration in this puzzle :)
on 24. October 2022, 11:48 by marcmees
very nice. thanks. A promising start of setting.
on 24. October 2022, 09:44 by Christounet
Wonderful puzzle ! Starting to see a pattern emerge in your setting style, which is auguring very good things for your future work (and our future solves !). Thanks++
on 24. October 2022, 00:09 by Vebby
Superb! Very clean, enjoyable logic. Thanks ONeill! :)
on 23. October 2022, 23:37 by ONeill
Clarified rules
on 23. October 2022, 16:01 by MagnusJosefsson
Awesome puzzle, definitely my favourite of your puzzles so far! Some really great region geometry logic in this one, and there were indeed some compass fillomino-alike moments :). Challenging and very enjoyable!
on 23. October 2022, 14:48 by ONeill
Fixed clue and removed redundant clue.
on 23. October 2022, 14:00 by Jesper
Really cool puzzle! I think it is a big step up in difficulty from the first one, but with some great logic.
One remark: I am pretty sure the 22 clue on the right side should be circled, correct?
- Thanks a lot! You are most definitely correct, I will get that changed now.
on 23. October 2022, 12:09 by polar
If I wanted to index the cell in the last column in R5 for example, would this value be 8 (excluding central 5 cells), or 13?
—
It would be 13. I will clarify that in the rules, sorry!
