Foggy Multiplication
(Published on 3. November 2023, 01:09 by Nightmare2805)
Normal Sudoku rules apply.
Most of the grid is covered in fog.
Placing correct digits will clear the fog from the surrounding cells.
Digits on an arrow must multiply to the number in the arrows circle or pill.
Digits on a thermometer must multiply from the bulb end. (i.e. every digit along the thermometer must be a multiple of the previous digit.)
Digits in a cage cannot sum to a prime number.
Purple lines must be split into 2 segments with digits that multiply to consecutive numbers.
Digits may repeat on a purple line if allowed by other rules.
A segment of a purple line can be of any length.
Some examples of what purple lines could look like can be found here
This puzzle is available on CTC
Solution code: column 1 and column 9
Comments
on 3. November 2023, 20:04 by Nylimb
I very much enjoyed this puzzle. It took me a while to figure out the breakin, but after that things went smoothly until near the end, when I completely overlooked one revealed constraint and so thought that there were multiple solutions. (Solvers can read about my error in my hidden comment.) Thanks!
on 3. November 2023, 02:24 by Nightmare2805
Clarified something in the ruleset.
on 3. November 2023, 02:19 by Ragna
I am very interested in solving the puzzle. But I cannot interprete the lines in r4 c4 with reference to your ruleset. There cannot be a "circle", but surely a pill. A pill as a 3 or more digit number? Or a sum in the pill or a product?
Edit by the setter - Thats the pill of the arrow.
on 3. November 2023, 01:10 by Nightmare2805
This is a fog of war version of one of my older puzzles.
