Assumptions (fog)
(Published on 11. May 2025, 16:30 by Al Fresco)
Sometimes in life you just have to make assumptions.
Normal Sudoku rules apply. The fog will lift when correct digits have been deduced. Digits on an arrow sum the digit in the arrows circle. Adjacent digits on a green line differ by 5 or more. Digits separated by a white dot are consecutive. Digits may not repeat in a cage and sum to the given number. For clarity all cage totals have been given.
When multiple digits have been deduced together, I would prioritise entering those into cleared cells before foggy cells.
Solution code: The digits in the largest cage (reading order)
Comments
on 22. May 2025, 21:00 by Friedhelm
Box 1, cell 9 killed me and i quitted. Sorry.
on 12. May 2025, 18:23 by Martina
Didn't like it.
on 12. May 2025, 11:46 by SudokuFan
SPOILER ALERT: the comments below contain major spoilers. Here is a wall of #s so that you don't accidentaly see them:
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
#########
on 12. May 2025, 01:48 by Bhuja
Where's the cage total that should be in r5c6?
on 12. May 2025, 00:35 by VitP
if your puzzle relies on non-standard assumptions, as it does here, then ALL "solutions" are equally valid.
so just fill in random numbers and be done with it.
on 11. May 2025, 23:02 by Virux
Man... This is the most troll puzzle i've ever tried. Even the solution code is a trick :'D
on 11. May 2025, 19:57 by Bhuja
Where's the cage total that should be in r5c6?
The line is covering the cage total but it can be deduced.
on 11. May 2025, 19:09 by ThibautV
Should we understand, from the title and the first sentence, that if we make an assumption on the rules, and the fog clears but shows that the assumption was not correct, it was still a correct deduction ?
Yes. That’s right
