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
Lösungscode: Row 7 and Row 8
am 14. Juni 2021, 19:16 Uhr von 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.
am 11. Juni 2021, 14:37 Uhr von 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?
am 9. Juni 2021, 05:59 Uhr von Noggin
The cheapest item on the menu gets subtracted from the total bill
am 9. Juni 2021, 01:52 Uhr von 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.
am 9. Juni 2021, 01:09 Uhr von Piatato
Interesting constraint! Looking forward to next installment!
am 8. Juni 2021, 19:43 Uhr von FryTheGuy
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?
am 8. Juni 2021, 19:25 Uhr von 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.
am 8. Juni 2021, 18:08 Uhr von Lakritze
Very interesting new idea!
Tougher than I thought, needed new ways of logic
am 8. Juni 2021, 17:49 Uhr von SKORP17
tolle neue Variante