Entropy Evolution
(Published on 30. November 2022, 09:01 by Mad-Tyas)
To celebrate the anniversary, I'm starting a new series with this puzzle here. The Entropy Evolution Series.
In this series I present puzzles that adopt the subdivision of the grid into three groups, but where all digits can appear freely in all groups.
Rules:
Sudoku: Fill every row, column and 3x3 box with the digits 1-9.
Entropy Grid: Divide the cells in the grid into three groups such that:
1. Each row, column and marked 3x3 box contains 3 cells of each group.
2. Each 2x2 area in the grid contains at least one cell of each group.
Group Sum Lines: Along lines the digits in each contiguous run of cells of the same group must have the same sum. This sum may be different for each line and each line has to consist of at least two such segments of the same sum.
There is no restriction on the repetition of digits along lines apart from sudoku rules.
Have fun solving!
Solution code: Row 8 followed by column 5 (18 digits)
Comments
on 22. July 2024, 17:48 by Snookerfan
Superb! Can't believe that could solve. Thank you
on 4. December 2022, 05:37 by Jds2
Thanks, I think I understand what I was missing. fingers crossed
on 3. December 2022, 14:35 by Jds2
Question about the rules…along a line can there be two groups of two sums?…example a four cell line with a red-1, green-2, red-1, green-2. I keep breaking the puzzle very early and am wondering if I’m missing something in the rules.
-Reply: Thanks for attempting the puzzle. I try to give a more precise description of the rules:
By the subdivision of the grid into three groups each line must be split up into two or more segments. A segment is defined as a run of cells of the same group.
Along the same line all those segments must have an equal sum. It is possible that there are more than one segment of the same group along a line.
