Operation out of order
(Published on 3. June 2026, 12:11 by DonkeyMon)
Rules
- Sudoku: Normal sudoku rules apply. Place the digits 1-9 once on every row, column and box.
- Arithmetic arrows: Each arrow applies a single arithmetic operation to each digit in the indicated row, column, or diagonal. If multiple arrows affect the same cell, the order in which their operations are applied must be deduced. All constraints are evaluated using the resulting value after all the operations. All final values are integers.
- Killer cages: Values inside a killer cage must sum to the digit on the top left corner of the cage. Digits do not repeat inside cages.
- Arrows: The values along an arrow must sum to the total sum of the value(s) in the attached circle. That is, if the circle contains more than one digit, it is the sum of them that the arrow must equal.
- Kropki: Values separated by a black dot must be in a 1:2 ratio; one must be double the other.
Play on SudokuPad
Solution code: The digits in row 1, left to right
Comments
on 5. June 2026, 01:29 by DonkeyMon
Thanks, dr.Logic! I tested it myself, and I must have not been as objective as I thought, cause I had no trouble with that box or the right hand arrows at all. But I did struggle when I played it yesterday, particularly with the arrows. I'll keep it in mind for my next. I have a couple of ideas already :P Very glad you enjoyed it!
on 3. June 2026, 22:34 by RockyRoer
I think instead of messing with arrow rules, it might be more sensible to add two killer cages, one on r67c6 and one on r89c6 each with a total of x, to be determined by the solver. I’ll give this a fresh go now that I know what you intended there. Thanks for clarifying.
on 3. June 2026, 16:33 by DonkeyMon
Corrected the instructions in Sudoku pad as well. So sorry.
on 3. June 2026, 16:27 by DonkeyMon
Clarified the instructions.
on 3. June 2026, 16:25 by DonkeyMon
Sorry guys, I explained myself wrong. The 2-cell circle on the arrow is supposed to represent the sum of the values of the digits inside of it, not them being read in order
on 3. June 2026, 13:17 by StefanSch
If R5C5 has the value X, than either (X+5)*5 must be 70 or (X*5)+5, correct?
On the other hand: R6C6 plus the half of R7C6 sum to the two digit number with the digits R8C6 and R9C6, which is at least 12.
How this shall work?
on 3. June 2026, 12:15 by DonkeyMon
Forgot to add the link.
