Little Harmonic Sudoku
(Published on 29. January 2026, 19:00 by blotwell)
Rules:
- Place a number (positive integer) in each cell.
- Egyptian fractions: In each row, column and region, the reciprocals of the numbers must sum to 1. Numbers may not repeat in a row, column or region.
- Kropki: Numbers in cells joined by a white dot differ by 1. Numbers in cells joined by a black dot are in a 1:2 ratio (one number is double the other). All possible kropki are given (negative constraint).
Solve online: Penpa+
Solution code: Enter the numbers in row 2 (second row from the top), concatenated left to right without spaces or separators.
Last changed on on 29. January 2026, 19:10
Solved by Siebuhh, dzamie
Comments
on 29. January 2026, 22:31 by dzamie
Gets more tedious than fun towards the end, but it's a very cool idea. Pretty enjoyable if you use an equation solver like Wolfram Alpha, since you still have to set up the equations, and it takes out a lot of the tedium of manually testing integer solutions for parametric equations.
on 29. January 2026, 19:10 by blotwell
fix formatting
on 29. January 2026, 19:06 by blotwell
added tags
