Radiation Sudoku: 10, 9, 6
(Published on 9. June 2020, 07:36 by MLBadger93)
In other words, a reverse thermometer of undetermined length starts in each cell orthogonal to a highlighted cell. The reverse thermometer continues directly away from the highlighted cell without changing direction. Digits must decrease as they get further from the highlighted cell. The sum of the reverse thermometer is given.
Example of Compliance with Rules, where sum of digits radiating from red cell must be equal to 16. Cells that fulfill the rule criteria are highlighted blue.
Sum 10 in 3 or 4 cells: 721, 631, 541, 532, 4321
Sum 9 in 2 or 3 cells: 81, 72, 63, 54, 621, 531, 432
Sum 6 in 1 or 2 cells: 6, 51, 42
Solution code: Column 2 then Column 6 (top to bottom) with no spaces or other characters in between the numbers.
Comments
on 13. August 2023, 14:23 by zrbakhtiar
https://tinyurl.com/3e59794y
on 28. June 2020, 05:48 by MLBadger93
Updated tagging to include "variant"
on 10. June 2020, 07:41 by Richard
Thanks for your answer!
That make sense to me. But in that case, I would have written the 16 in the red cell in a smaller font and placed it in the same position as the small digits in the real puzzle.
on 10. June 2020, 07:06 by MLBadger93
You are correct, when looking at the example, the digits in blue should add up to 16 as stated above the image. The 6 was placed to show a completed row that still followed normal sudoku rules, not to indicate the required sum in each direction.
For clarification, the rules do not affect the highlighted cell. In the example, r5c8 does not have to be less than r5c9, since highlighted cells are exempt from the rules. Similarly, the sum begins in r5c8 and continues left in r5.
Please let me know if that clears any confusion.
on 10. June 2020, 06:22 by Richard
I don't understand the rules here. There is a six in the red cell in the example, and all orthogonal digits are higher than that six, so they can't be part of a sum that adds to 6. The digits in blue cells actually add up to 16. Or am I missing something?
on 10. June 2020, 03:26 by MLBadger93
Updated instructions to clarify that digits can either increase or decrease after the sum has been met.
on 10. June 2020, 03:23 by MLBadger93
Thank you for the feedback, R.R. I agree with your comment, and included a line that continued to decrease in the sample solution. I will also try to incorporate this language into the instructions to make it more apparent.
on 9. June 2020, 22:33 by RockyRoer
I was a little unclear about is the radiating numbers had to stop decreasing once the sum was met or not. After solving I found that sometimes the cells do keep decreasing after the sum has been met. I realize the instructions never say they have to stop, but it might be nice to clarify that. Another puzzle could be made where it has to increase again after the sum was met and that could provide more logic in different places.
