Thermo sums
(Published on 6. November 2020, 10:27 by PetLov)
Digits must increase from the bulb end of the thermometers and cannot repeat.
The thermometers, when enclosed in a cage, must read the sum value of that cage. Free cells limited by cage borders can also constitute an area to sum up.Thermometers spanning two areas must read the combined total. All sums are read from the bulb end of the thermometer.
Digits cannot repeat within a cage but may however repeat in a free cell area.
This example shows how the thermometers sum up the different areas.
Solution code: Row 8 and column 1
Comments
on 11. February 2021, 07:46 by Donna Mitt
I got it! I got it!(Doing a happy dance)
*** Hooray :-)
on 8. November 2020, 20:09 by PetLov
Added example
on 6. November 2020, 18:17 by PetLov
Ah. No only areas in immediate contact with a thermometer can be included in the sum.
on 6. November 2020, 17:41 by ThrowngNinja
This kind of demonstrates what I meant https://f-puzzles.com/?id=y6pjkdjz
I was thinking if the blue and green were both touching the red as shown, then could they potentially both contribute to the totals.
Edit: after reading your comment again, that couldn't happen right? I was thinking that a free cell could potentially contribute to a total and you had to figure that out
Edit 2: Just to make sure im understanding it correctly for this and future puzzles, for free cells to contribute to a total there has to be a thermometer interacting with them just like every other cage?
on 6. November 2020, 17:19 by PetLov
@ThrowngNinja
All orthogonally connected free cells are to be seen as a normal killer cage with the exception that digits can be repeated as long as it is not breaking standard sudoku rules.
The other question I don't fully understand.
An "area" can only be either a killer cage or a field of orthogonally connected cells that do not belong to a killer cage. If a thermometer connects two areas it must show the sum of all digits in the connected areas.
Hope that answered your question.
Oh... the digits in the thermometer should also be counted for the total.
on 6. November 2020, 17:06 by ThrowngNinja
For the free cells, could it just add 1 cell to the total or does it have to include all of the cells? And can a cell only be used to sum up an area once, or can it be used to contribute to multiple cage sums?
