The Boundless Sea (Region Sum Lines)
(Published on 6. March 2026, 14:45 by Kutsumi Hane)
Rules:
Normal Sudoku rules apply, requiring that each row, column, and 3×3 box contains the digits 1-9 exactly once. Additionally:
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·Toroidal Grid:
The grid wraps around both horizontally and vertically.
·Main Diagonal: Every 9×9 Sudoku grid in the plane has 1–9 on its main diagonal.
·Region Sum Lines: The blue line has equal sums in each region it passes through.
·Separator Dots: Digits between consecutive yellow dots along the blue line are all different.
·Anti-Knight: Cells a knight's move apart cannot contain the same digit.
·Inequality: Inequality signs between two cells point toward the smaller digit.
Here you can solve the puzzle online:
The difficulty is probably 4 stars. I wish you joyful solving!
Hint:
| · | Start by determining the sum of each region sum line. |
| · | During the solve, it may be necessary to use letters in place of digits for most of the deduction. |
| · | Familiarity with the Magic Square may be essential for solving the puzzle. |
Solution code: Digits on the anti-diagonal (from top to bottom)
Last changed on on 8. March 2026, 11:52
Solved by Briks, SKORP17, AzureFire
Comments
on 8. March 2026, 11:48 by Kutsumi Hane
Editor's note: Several hints have been added.
