Arrow Sandwich
(Published on 9. June 2021, 03:01 by VykkDraygo)
- Normal 6x6 sudoku rules apply.
- Digits outside the grid indicate the sum of the digits between 1 and 6 in that row or column.
- Digits along an arrow sum to the circled digit.
Play in Penpa+.
Solution code: Row 5, from left to right.
Comments
on 22. October 2021, 13:17 by uvo_mod
Labels ergänzt.
on 12. June 2021, 05:20 by VykkDraygo
Removed extraneous clue.
on 9. June 2021, 19:31 by VykkDraygo
@Skorp17 Das ist richtig.
on 9. June 2021, 19:26 by SKORP17
sind die Zahlen in den Circles ausserhalb des Grids auch zuständig für die Abstände zwischen der 1 und der 6???
on 9. June 2021, 16:16 by VykkDraygo
As was pointed out, with both the current rules, and construction, the puzzle was ambiguous (and had multiple solutions). It was also more difficult than intended.
The 9 sandwich arrow clue should resolve this issue.
I really appreciate the comments pointing out the issue, as they were very helpful.
on 9. June 2021, 15:41 by VykkDraygo
That would be me overlooking the possibility more than anything else. Penpa allows the user to input digits over 9 when using the number function, but not with the sudoku function.
The original construction had the left arrow as a given. That would probably help to resolve the issue, because I see exactly what you mean. The extreme givens don't help in that regard (and I think actually set you up to expect that they would be large).
That's certainly my fault, and shows my inexperience in setting. I'll make an update to the puzzle to reflect this change.
I really appreciate the feedback!
on 9. June 2021, 15:27 by DiMono
This puzzle has multiple solutions. I got the following, which did not validate as correct but is a correct solution based on the constraints:
234156
615243
456312
123564
341625
562431
That solution gives sandwich sums of 10 for row 4 and column 4, which is valid based on the provided rules. If arrows may not sum to a number greater than 9, then that must be stated as a rule, or else this puzzle is not unique.
on 9. June 2021, 08:46 by brandon_bot
I wasted a lot of time not realizing the outer arrow sums were restricted to 1-9. Maybe this is very obvious for other people with regular experience using Penpa+.
on 9. June 2021, 03:38 by VykkDraygo
Slight clarification to the sandwich rules. (I realize this is likely unnecessary, considering how ubiquitous the ruleset is.)
