Pandigital Partition
(Eingestellt am 12. Februar 2025, 00:23 Uhr von Andrewsarchus)
Rules:
- Fill every cell in the grid with the digits 0-9, such that each row and column contains a complete set of the digits 0-9.
- Partition the grid into five orthogonally connected Zones.
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Each zone contains 1 to 3 blue rectangles which when read left to right, contain the 1-to-3 digit sum of the all digits in the zone.
Adjacent rectangles are part of the same number. - Additionally, the blue rectangles contain a complete set of the digits 0-9.
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Circles count the number of cells, including themselves, in the surrounding 3x3 neighborhood which belong to the same zone.
All possible circles are given. -
Horizontal bars indicate the horizontal run length of the cells in the same zone.
Vertical bars indicate the vertical run length of cells in the same zone.
All possible bars have been given. -
Arrows indicate the number of zone borders seen in the indicated direction (not including the outside edge of the grid).
All possible arrows have been given except for those which would point directly at the edge of the grid with no other cells in between.
Play Online:
sudokupad: Pandigital Partition
Lösungscode: Row 4 left to right with dashes to indicate borders between zones
Kommentare
am 21. Februar 2025, 02:18 Uhr von Da Letter El
if a cell with value X contains multiple arrows, does it mean it sees X many borders in each direction, or total? i.e. if a cell contains an up and down arrow and contains a 2, does it see 2 total boundaries, or 4 total boundaries with 2 in either direction? My assumption from rules was that each arrow said something individually, and thus a 2 in a cell with two arrows would see 4 boundaries.
Also I believe when you say run, if a column contained aaAababbcc, where the capital letter is the rectangle, the run would be 4, not 5, correct? Your clarification to zakkai using the phrase "in a row" is very confusing as to meaning "without interruption" or "total row/column" but i THINK you mean the former.
Arrows each individually see the indicated number of borders, so a 2 digit with two arrows sees a total of 4 borders (2 per arrow).
Also, good point about "in-a-row" being potentially confusing. It means in an uninterrupted sequence, so you are correct... in your example the run length would be 4.
--Andrewsarchus
am 19. Februar 2025, 15:39 Uhr von Andrewsarchus
bumped difficulty up to 4 stars based on solver feedback
am 19. Februar 2025, 04:17 Uhr von wildbush7
Very tricky! In my opinion, this is closer to 4.5 or 5 difficulty. I thoroughly enjoyed it once I wrapped my head around all of the negative constraints. Wonderfully set.
thanks for the solve and feedback. I've increased the difficulty rating based on yours and others' recommendations.
--Andrewsachus
am 19. Februar 2025, 00:58 Uhr von wildbush7
Do the blue rectangles contribute to the zone sum?
Yes, the digits in the blue cells contribute to the sum.
--Andrewsarchus
am 19. Februar 2025, 00:08 Uhr von zakkai
can you expand on the rules for the vertical/horizontal bars? What do you mean by a 'run' in a zone?
A 'run' is another way of saying 'in a row', so if you have 3 cells in a row belonging to the same zone, then it's a run length of 3. The clued cell can occur anywhere within that run.
--Andrewsarchus
are they necessarily consecutive? or does it count all cells belonging to the same zone in that row? -zakkai
Sorry for the confusion. A run means they are all sequential (I avoid saying consecutive, because that can be confused with pertaining to values). Let me know if this is clear, or if I should provide an image to clarify further.
--Andrewsarchus
