Heatmap Sudoku
(Published on 13. June 2020, 16:19 by Jesper)
Rules
- Normal Sudoku rules apply
- A digit in a yellow cell is the sum of two of its orthogonal neighbours
- For the orange cells, there are two ways to select two among its orthogonal neighbour cells, so that their values add to the digit in the orange cell.
- All cells are coloured to the maximum temperature possible, i.e. a negative restriction applies.
Please see below an example grid coloured according to the rules, to demonstrate the principle:
Now for the puzzle:
Black-and-white version (dark grey instead of orange; light grey instead of yellow):
Penpa+: Heatmap Sudoku
SudokuPad: Heatmap Sudoku
Solution code: row 2 and column 8 (18 digits, no comma or spaces)
Comments
on 22. January 2023, 18:30 by StephenR
Enjoyed this, thanks, but I cannot get over how many times I broke it. I don't think I've ever broken a puzzle so many times. But I got there in the end.
on 1. August 2022, 14:42 by Christounet
The heat is on !
Thanks for this nice puzzle. Going through your library is a delight. I fear I might run out of your puzzles quite soon...
Funnily, in your description, you mention the fact that you wanted to make a grid with no given digit, as if it was exceptionnal at that time, where nowadays it is the contrary that has become a rarity, because most of the grids are digitless, and even the clues have turned to question marks...
EDIT @Christounet: Thanks for all your solves and the nice comments! It makes me really happy to hear that you are enjoying going through my back catalogue. You are very much correct that my description on this puzzle did not age so well - I definitely would have phrased it differently if I would post such a puzzle today :)
on 26. May 2022, 22:26 by Prutsbeest
Interesting ruleset, and very clever construction. Thanks!
on 4. September 2021, 17:02 by Jesper
Added Penpa+ link. Thanks to Vebby!
on 4. September 2021, 00:44 by Vebby
Link to solve on Penpa+: https://git.io/Jufif
To activate final solution check, enter numbers in blue, green or red colour.
on 13. July 2020, 13:30 by Jesper
@Richard: Thanks! I will definitely check out the SVS puzzle you mentioned with similar logic.
on 13. July 2020, 08:46 by Richard
Nice one!
Easy going solve; three stars difficulty for me. Although the rules are different, I could apply a lot of logic that can also be found in the variant 'Sum of them': https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=0002UT
on 22. June 2020, 14:18 by Jesper
@Mody: freut mich, vielen Dank!
on 22. June 2020, 10:49 by Mody
Hat mir sehr gut gefallen
on 14. June 2020, 10:21 by Jesper
@Greg: Thanks, Greg! Great perseverance, sticking with it for four restarts!
on 14. June 2020, 01:15 by Greg
Had to restart about four times but I got there in the end. Great puzzle and a fantastic use of that rule set.
on 13. June 2020, 23:36 by Jesper
@Narayana: Thanks! You are indeed right about the possibility of a quadruple!
on 13. June 2020, 23:06 by Narayana
Really nice variant! I would be interested in seeing a top heat level version. Red square=4 combos. Something like:
_|1
1|32
-.--
_|2
Maybe this will inspire me to set my first puzzle!
on 13. June 2020, 20:52 by Jesper
@Big Tiger: Thanks a lot!
on 13. June 2020, 19:55 by Big Tiger
I enjoyed that. I was stumped at the very end, thought you had an unresolvable pair of 5/9's, and then remembered the negative restriction and hunted about - and sure enough, it resolved. Nice job. This is a variation I think could be popular.
