Zero-Sum Sudoku 5
(Published on 12. March 2021, 21:13 by CaceClosed)
- Normal sudoku rules apply to the **absolute value** of *every digit from 0 to 8.*
- The solver must shade every cell to assign a positive or negative value to every digit such that *every row, column, and box must sum to zero.* Zero is to remain unshaded.
- The positive or negative value assigned to each digit is the same throughout the puzzle i.e. if it is determined that 1 has a positive value in a cell, then 1 must have a positive value in all instances of 1 in the puzzle.
- The given 8 is negative.
- The actual values (positive or negative) of digits on an arrow path sum to the digit in the circle.
- Cells separated by a knight's move in chess cannot contain the same digit.
- White dots join cells with consecutive actual values. All possible white dots have been provided.
Solution code: Actual values of row 8 followed by column 8 with no spaces (34 characters). Ex. Row values of [+1, +2, -3, -4, 0, -5, -6, +7, +8] --> +1+2-3-40-5-6+7+8
Comments
on 23. March 2021, 20:45 by glum_hippo
Remove the 'English language' tag, as the puzzle requires not English language knowledge to solve it, but English language comprehension to understand the rules.
on 23. March 2021, 15:30 by MagnusJosefsson
Thanks MrBrain and Jesper for figuring out the intended meaning of the central box arrows. A very fun puzzle once the correct interpretation is made.
on 21. March 2021, 15:53 by MrBrain
Aha! I somehow missed that the 8 was circled originally, and was interpreting the central box as a double arrow starting from the 0, which led me to implement faulty logic. I'll try again with the new arrow understanding. Thank you!
on 21. March 2021, 13:21 by Jesper
@MrBrain: I was actually able to solve the puzzle thanks to your question about the 8 being circled. I started thinking about whether I had misunderstood the path of the drawn arrows, and it turns out one arrow in box 5 actually originates in the middle cell starting upwards (and then around to the left). The other arrow starts in the circled zero and passed through the circled 8 to the cell below it. Not so clear from the picture, in my view. But a very nice puzzle, once you have understood what arrow paths are intended.
on 21. March 2021, 11:43 by Speed tuna
Yeah even I faced the same problem
on 21. March 2021, 02:19 by MrBrain
I am maybe doing something wrong. I started the puzzle twice, and ended with a contradiction both times. I am maybe a bit confused by the central box. Why is the 8 circled?
