Rules:
Regular sudoku rules apply; place the digits 1-9 in every row, column, and 3x3 box exactly once each.
Draw a single non-branching, orthogonally moving loop in the grid that passes through every circle. The loop may border itself, but may not enter a cell more than once. A circle's digit is the total number of cells before the loop's next turn and after its previous turn, INCLUDING itself and the cells in which those turns occur.
White circles contain even digits; they must be passed through in a straight line, but the loop must turn in the previous and/or next cell. Black circles contain odd digits; they must be turned upon, and the loop must travel straight through the next and the previous cell. If a circle is gray, its identity is left for the solver to determine.
Additionally, the loop acts as a region sum line; for each pass through a 3x3 box, the digits along it sum to the same total. If the line passes through the same box more than once, each instance is summed separately.
Solve online:
Solution code: Column 8 (top to bottom, 9 digits, no spaces)
on 27. August 2024, 06:11 by cybers
Great stuff!!
on 31. January 2024, 21:51 by Nordy
Awesome puzzle! Such a fun mix of logic, with all of the rules relevant multiple times from beginning to end
on 4. September 2023, 19:10 by Piatato
Awesome puzzle, thanks!
Reply: Thank you!
on 1. September 2023, 21:36 by dumediat
Really cool and surprising logic in this one, very well done!
Reply: Thank you, much appreciated!
on 1. September 2023, 21:34 by wisty
Really really nice concept and smoooooth execution! Love to see more masyu
Reply: Thank you! Certainly have been looking at various genres of pencil puzzles for inspiration as of late.
on 1. September 2023, 07:53 by Mr.Menace
Pretty cool and minimalistic puzzle, I had fun solving it!
Reply: Thanks, glad you enjoyed!
on 1. September 2023, 02:08 by Suspicious Door
A wonderful puzzle, much like your other loop puzzle. I enjoyed it very much and would highly recomend it.
Reply: Thank you for the kind words!