Threegions
(Eingestellt am 18. April 2026, 00:31 Uhr von alex4.26)
Rules:
Divide the grid into three regions made up of orthogonally adjacent cells. A region may not contain an entire row, column, or box. Each region contains the digits 1-9 exactly 3 times.
Blue lines: Cells along a blue line are contained in the same region.
Circles: Digits within a circle indicate the position of the first cell in that column, starting from the circle, that is not in the same region. i.e., if r1c3 is a 5, the first 4 digits in the column are in one region, and the 5th is in a different region.
Arrows: The nth digit in an arrow's direction tells how many times the cells in that direction enter a region, where n is the number beside the arrow. i.e., if row 2 starts in region A, goes through region B, then region C, and back to region A, the row has entered regions 4 times, so r2c1 is a 4.
XV: Digits separated by an X sum to 10. Digits separated by a V sum to 5.
Gray lines: Digits along a gray line are palindromes, meaning they read the same forward and backwards, like 12321.
Lösungscode: Row 1, Left to Right
Kommentare
am 18. April 2026, 19:32 Uhr von Karitsu
Thank you both! This will make the puzzle MUCH more approachable! Looking forward to continuing (perhaps restarting) my solve without thinking the first cell tells me the number of region splits.
am 18. April 2026, 17:55 Uhr von anothermember
My interpretation of that rule, Karitsu, is that the number outside the grid gives the cell that determines the number of times a region is entered. So for the given example of row 2, the 1 points to r2c1, and r2c1 being a 4 would mean that row has 4 regions entered.
Another example, for column 1, the 7 outside the grid means the 7th digit up, i.e. r3c1, so r3c1 (edited earlier typo) gives the number of regions entered for that column.
I've not solved the puzzle (yet) myself, seems quite difficult.
am 18. April 2026, 16:21 Uhr von Karitsu
Clarifying question: what are the provided digits to the outside of the arrows? The rules state “n is the number beside the arrow”. I initially interpreted that to mean the given digits. But then the example ignores the given 1 next to the arrow and suggests the number beside the arrow is one you place in the first cell of that row/column.
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Sorry, I probably should have used a different example. Because the number beside the arrow is a 1, the 1st cell is the one that tells how many times a region is entered in that row.
The comment by anothermember also gives a good explanation of the clues.
