Dutch Flat Mates (Region Sums)
(Published on 8. November 2023, 11:30 by Flinty)
Normal Sudoku rules apply.
5's live in Dutch Flats
All 5's in the grid must strictly have EITHER; a '1' directly above it AND/OR a '9' directly below it. It may have both, but it doesn't need both.
Examples provided below on an empty grid.
Region Sum Line
For each line, digits on the line have an equal sum N within each box it passes through.
N can be different for each individual line.
Each instance that a line enters a box should be treated separately.
Therefore R3C2 must be the same digit as R4C3.
This will be a weekly series for as long as my brain allows:
Dutch Flat Mates 1: Classic
Dutch Flat Mates 2: Thermometers
Dutch Flat Mates 3: German Whispers
Dutch Flat Mates 4: Region Sum Lines
Dutch Flat Mates 5: Sandwich Sums (15 Nov)
Solution code: Digits of Row 5.
Comments
on 18. March 2024, 14:04 by ChinStrap
Some beautiful logic to be done in this one.
on 16. February 2024, 15:48 by roavin
Quite hard but brilliant
on 27. November 2023, 10:37 by Nemefish
Interesting rule twist
on 9. November 2023, 12:53 by buntee
Nice. Between 2 & 3
on 8. November 2023, 18:11 by ViKingPrime
Loving this series! This is a particularly artful use of the constraint, well done.
on 8. November 2023, 14:10 by Flinty
Edited for rules clarity. The line that crosses back and forth from Box 1 & 4 has four lots of the same value for N. Apologies for confusion.
