Frame Product Sandwich
(Published on 1. March 2025, 20:49 by RockyRoer)
The Rules:
- [Sudoku] Normal sudoku rules apply. Fill every row, column, and 3x3 box with the digits from 1 to 9 once each.
- [Simultaneous Clues] Numbers outside the grid (you may pencil mark them in, but don't put full size digits in or the conflict checker will trigger) must be deduced, and are simulaneously:
- [Frame Product] The product of the first three digits in that row or column from the direction of the clue.
- [Sandwich - unknown crust] The sum of the digits between the cells containing A and B where A and B must be deduced, and are the same for every clue.
Example: if A and B are determined to be 4 and 2, then the row ? 135278469 would have a ? clue of 15 because 1x3x5=15 and 7+8 = 15.
The Puzzle:
Try it on Sven's Sudoku pad.
Solution code: Row 5, followed by row 5's sandwich sum. (10 or 11 digits)
Comments
yesterday, 11:35 by TheMagicAbacus
I don't want to admit how long I took on this 6/5 star puzzle. Other than the very beginning of the break-in, every deduction was a struggle for me. On multiple occasions, I analyzed all possibilities of a particular clue, only to fail to find any contradictions.
Thank you, RR, for setting this beast.
Reply: Sorry? You're welcome? There is a solution guide to this as a hidden comment if you'd like to see how I did it, but its been over a year so I don't remember much anymore :-) Glad you made it through!
on 8. March 2025, 14:34 by askaksaksask
This was a great math miracle. I like the frame product rule, and it certainly falls on the solver to frame how the frame product rule interacts and subsequently constrains the sandwich sums. Framing frames! The maths is accessible, but with great puzzle design here, this didn't become a breeze once everything starts to topple. Great break-in as well. Really fun. Thank you!
on 2. March 2025, 20:24 by Franjo
Yet another amazing math-puzzle! (As expected…) Thank you very much for creating and sharing this wonderful masterpiece.
on 2. March 2025, 17:11 by marcmees
Had a slow start on this one, but with the correct math preparation, the puzzle solved nicely in pure RR style. Thanks
on 1. March 2025, 22:54 by RockyRoer
Corrected German translation of solution code - thanks SKORP17
on 1. March 2025, 20:49 by RockyRoer
It's a RockyRoer sandwich puzzle, why would you think there would be any digits?
A full solution guide is available as a hidden comment for those who are interested. Good luck!
