Binary Parity Sudoku (by Timwi & Brawlbox)
(Published on 3. June 2022, 02:44 by Timwi)
Normal Sudoku rules apply. Place the digits 1–9 in every row, every column and every 3×3 box.
The arrows show all places where the parity of the next four digits in the indicated direction spell out the cell’s digit in binary. Even digits signify a binary ‘0’ and odd digits a binary ‘1’.
For example: if a cell with a right-pointing arrow contains the digit 5, then the next four digits to the right could be 8, 1, 4, 3. These are even, odd, even, odd, which translates to 0101, which is indeed binary for 5.
Note that left-pointing arrows have the binary number written backwards (example: 7 2 3 6◀5) and up-pointing arrows have it upside-down.
The negative constraint applies. If a cell contains a 6, all directions with no arrow must not spell out 0110 in binary parity.
Solution code: The first two rows.
Comments
on 9. February 2023, 20:43 by Goofy
Really interesting idea.
I liked it, good job!
on 6. June 2022, 04:55 by Willy Wonka
Penpa link - https://tinyurl.com/4hp893p3
on 3. June 2022, 15:23 by kolot
Lovely puzzle! Very original idea and beautiful execution with fresh logic. Well done!
on 3. June 2022, 05:37 by Dermerlin
One of my favourite puzzles so far. The fact that i was able to solve it points to less than 4 stars. But maybe i had a good day.
on 3. June 2022, 02:45 by Timwi
Title changed to include co-author credit
