Tinsel Box
(Published on 28. December 2023, 09:48 by starwarigami)
Normal Sudoku rules apply.
The pieces of tinsel in the box are Anti-Factor lines: Digits along a line of length n must not be a multiple or factor of n (other than 1), and must sum to a multiple of n.
There is nothing special about the small boring piece of silver tinsel. Each other brightly coloured piece of tinsel enforces a different one of the line constraints listed below, in addition to the anti-factor logic. Which colour represents which constraint is to be determined by the solver.
- Entropic: Each set of 3 adjacent digits along the line contains a low digit (123) a medium digit (456) and a high digit (789).
- German Whispers: Adjacent digits along the line differ by at least 5.
- Palindrome: The digits along the line read the same from either end.
- Parity: Adjacent digits along the line alternate odd and even.
- Region Sum: For each region the line passes through, the digits on that line in that region sum to the same value.
- Zipper: Digits on the line an equal distance from the centre of the line sum to the same value. For a line of odd length, the digit in the middle cell is equal to that value.
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Solution code: Row 1, left to right (9 digits, no spaces)
Comments
on 31. December 2023, 19:33 by Bankey
That was fun. Thanks, @ starwarigami:).
on 30. December 2023, 10:46 by marcmees
The "boring" one was the hardest/last one to fill. Very nice. Thanks.
on 29. December 2023, 21:39 by mihel111
Incredible puzzle. Looks a bit more than 3* to me. Very well done.
@mihel111 Thanks for the kind words! I was torn as to whether to rank it 3 or 4 for difficulty. I probably did underestimate the challenge for anyone not as familiar with Anti-Factor lines as I am
on 28. December 2023, 23:48 by Ragna
Wow! What a wonderful puzzle! I had much fun to discover the secrets of each line. Thank you for sharing. :-)))
@Ranga Glad you enjoyed it! And thanks again to Ben for agreeing to share it with a wider audience
on 28. December 2023, 18:16 by SirWoezel
There are seven lines and only six constraints. Do I misunderstand the rules or is there a constraint missing?
@SirWoezel
"There is nothing special about the small boring piece of silver tinsel. Each other brightly coloured piece of tinsel enforces a different one of the line constraints"
i.e. the silver line does not have an additional constraint - sorry if the wording is confusing
Aha, thanks. I'll try again then.
