Introducing Anchor Sudoku!
(Published on 8. June 2021, 16:48 by FryTheGuy)
I have recently been playing around with a new constraint I am calling anchor sudoku. It is like arrow sudoku, except you subtract the smallest digit from the sum of the other digits.
So for example an anchor with a 5 in the square, and 4,2,3 in the chain would be valid because 5=4+3-2. Repeat digits are allowed so 5,5,1,1 would also be valid because 5=5+1-1.
If this variant already has a name please let me know and I will rename it!
Over the past few weeks I have made seven puzzles using this variant, and I have been really surprised by their versatility. I am planning to release one puzzle every day for the next week which will hopefully showcase some of its potential.
This first puzzle is intended to introduce some of the restrictions caused by anchors before doing some more clever things with them.
Standard sudoku rules apply.
Subtracting the smallest number along an anchor from the sum of the other numbers equals the number in the square cell.
Solve the puzzle at https://f-puzzles.com/?id=y4hgswha
Solution code: Row 7 and Row 8
Comments
on 22. October 2021, 13:08 by uvo_mod
Labels ergänzt.
on 13. September 2021, 13:26 by Sktx
Very interesting ruleset ! The puzzle is made so that you progressively discover new properties of the constraint, and stays challenging without mercilessly blocking you. A very good introduction, and I'm really curious to see more !
on 13. September 2021, 11:29 by PrimeWeasel
Really cool! Thanks! Needs 1 or 2 solves for a rating, come on people let's get this rated...
on 14. June 2021, 19:16 by Ryx
Well, I gave it a shot. Took a while to find a break in, then about an hour later I had messed up somewhere (and could not see how to fix it). I think there are just too many possibilities to wrap my head around. Very interesting though.
on 11. June 2021, 14:37 by Ryx
I am looking forward to trying this. I think Anchor is a fine name. What does "killer" have to do with "Killer cages" or "Little killer"? So, why does "anchor" need to have some "sea" reference?
on 9. June 2021, 05:59 by Noggin
Menu Sudoku??
The cheapest item on the menu gets subtracted from the total bill
on 9. June 2021, 01:52 by bigger
I just feel the naming of this variant is a little weak. Afterall, it's a subtract arrow. The naming should show the idea of subtract. Also anchor is the name that every setter at one point think of. It's just not a memorable variant name for me.
on 9. June 2021, 01:09 by Piatato
Interesting constraint! Looking forward to next installment!
on 8. June 2021, 19:43 by FryTheGuy
@bigger
Good suggestion, I will only post one every few days.
As for naming, I am open to suggestions. I wanted to pick a real life object that has a line attached to it. I was considering calling them tails, anchors, keys, plugs, or circuits.
Think I should go with a different one?
on 8. June 2021, 19:25 by bigger
Nice variant. But I should warn you that posting one puzzle per day for a week is a bad idea. It's going to flood this portal. Maybe per two or three days.
Also I have a small question, why it's called anchor? I see no ships nor seas.
on 8. June 2021, 18:08 by Lakritze
Very interesting new idea!
Tougher than I thought, needed new ways of logic
on 8. June 2021, 17:49 by SKORP17
tolle neue Variante
