Caustic arrows
(Published on 27. September 2026, 19:26 by NurglesGift)
Normal sudoku rules apply.
The value of cells connected by an X must sum to 10.
The value of cells connected by an V must sum to 5.
The value of cells connected by an -X must sum to -10.
The value of cells connected by an -V must sum to -5.
All X's, V's, -X's, and -V's are given.
The value of cells connected by an 0 must sum to 0.
(NOT all 0's are given)
Cells on an arrow sum to the digit in the arrows circle In addition the value of the tip on any arrow is inverted (i.e. 1 is -1, 2 is -2 etc) and any cell a chess king's move away from an arrowtip have it's value subtracted by the digits of all arrowtips it touch.
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Feel free to recommend this puzzle to anyone.
Feel free to take special rules for your own puzzle.
Feel free to give feedback.
Bless you!
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the value of any cell that is not an arrowtip is (it's digit)-(all arrowtips a king's move away)
Example
Both arrow tips is 1 so each have an value of -1.
the 6 is a king's move away from one arrowtip with value -1 so the 6 will have an value of 5.
so that arrow become (4)=5-1
the 5 is a king's move away from 2 arrowtips with value -1 so the 5 will have an value of 3
so that arrow become (2)=3-1
Solution code: give the digits of column 9 (top to bottom)
Comments
on 29. September 2026, 06:06 by NurglesGift
Well as a setter I do have access to the cheatcode. I recommend putting the real digit as central pencilmark and the value as a corner pencilmark with color indicating positive or negative value
on 28. September 2026, 23:00 by Framto
I had to leave and come back a few times, but I finally did it. Scanning felt impossible (especially for the negative constraint). I can't imagine setting a puzzle like this.
on 28. September 2026, 09:53 by wuc
Math puzzle at its best. 4* to me. Need some time to understand the implications. Awesome setting thx.
on 28. September 2026, 05:17 by NurglesGift
Cell X-(all arrowtips a king's move away) = value
on 28. September 2026, 01:43 by steveire
"any cell a chess king's move away from an arrowtip have it's value subtracted by the digits of all arrowtips it touch."
This isn't understandable. Can you provide examples?
on 27. September 2026, 19:25 by NurglesGift
if you don't like math/algebra consider this a warning...
