Normal sudoku rules apply. Digits in a cage must sum to the little number in the upper left, and may not repeat in the cage. Neighboring digits marked with a white Kropki dot are consecutive. Neighboring digits marked with a black Kropki dot have a 2 to 1 ratio. Not all dots are given. Any set of three sequential cells along a beige entropic line must contain a low digit, a middle digit, and a high digit. For a 9 x 9 grid, this means 1-3; 4-6; and 7-9. I think this puzzle is 1 star out of 5 for difficulty for many solvers -- it's a one-trick GAS, but I really like the trick. :-) As always, comments welcome. Thanks!
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Solution code: First row of puzzle, and fourth column of puzzle (read top to bottom). Enter as a string of 18 digits, no spaces.
on 31. March 2024, 14:28 by mixus minimax
SPOILERS!!! @Suxamethonium This is precicely what I did too! And then of course you can colour in all the "low" digits along the line. Also, each box, row, and column of obviously needs three of each colour, and of course I wanted to make it look nice so I coloured everything
on 27. March 2024, 11:21 by 91loves
Ahh loved this! Flows very nicely .)
on 24. February 2024, 18:24 by Nootato
Nice puzzle! Quite liked how the black Kropki dots and the entropy lines worked together to disambiguate the puzzle.
on 23. February 2024, 09:24 by PhoenixAki
Very fun as a newcomer to entropic lines :) 9:04 for me
on 12. January 2024, 04:03 by deadpanditto
Fun solve and fairly easy so long as you are familiar with entropy lines. Coloring helped me a lot.
** I'm glad u enjoyed!
on 10. January 2024, 17:07 by PDN777
Thanks to all of the commenters for the solves and kind words. And to VitP: Yes I see your points.... Thanks!
on 9. January 2024, 23:02 by Ganbatte
Fun, thank you. I’m still doing just the one-star puzzles and it took me a half-hour.
on 9. January 2024, 14:04 by Virux
Very easy and approachable.
on 8. January 2024, 22:29 by PinkNickels
Very fun! Thanks for sharing
on 8. January 2024, 05:20 by VitP
this isn't GAS, because it requires knowledge of entropy PROCEDURES. however, "trick" is too strong, because it implies "user-developed" procedure.
on 7. January 2024, 17:14 by michael_787
Wondering which "trick" you might have in mind. I started straightforward by looking at the enthropies in the cages. Starting from there it was plain sailing, no tricks required. Perhaps it helped that I used colour code for low/middle/high to spot them more quickly. Great puzzle, which I enjoyed very much. Thanks for setting!
** Hi - well - I don't want to write in a spoiler, but basically, you crossed its path at the outset. It's pretty simple, but I'd never noticed it before.... ;-)