Normal sudoku rules apply.
Blue lines are region sum lines - along the line, the sum of the digits within each region must be the same.
Brown lines are product sum lines - the digits on each end of the line must multiply together to give the sum of all digits on the line.
Draw a 1 cell wide snake which moves orthogonally and does not touch itself (even diagonally). The snake must enter every region exactly once and may not include any cell which is on a line (but may include circled cells). The snake acts as both a region sum line and a product sum line.
A digit in a circle indicates the number of times that digit appears on the snake.
Solution code: Rows 2 and 6
on 21. February 2024, 01:45 by madhupt
Beautiful! Stupendous! Brilliant!
on 13. February 2024, 03:56 by QuiltyAsCharged
Simply terrific!
on 6. February 2024, 08:27 by Bankey
Gorgeous puzzle! Finally managed to wrap my head around it and lift the Cobra's Curse! Thanks for setting and sharing, @ IcyFruit :).
on 3. February 2024, 05:10 by rameshsrivats
What a beautiful puzzle. I started this yesterday, and then gave up. But as I was mulling about it afterwards, suddenly the key insight fell into place. After that, it was just beautifully smooth.
on 3. February 2024, 03:22 by GertVonnegut
This is a *fantastic* puzzle. Absolutely loved it. Thanks so much for setting!
on 2. February 2024, 05:27 by femto113
Requires a couple major deductions but overall not as hard as I expected given the low solve count. Definitely worth the time.
on 2. February 2024, 01:14 by hoopsie
Fantastic puzzle! Loved the logic the circles added to the puzzle and how it helped the solve path.
on 1. February 2024, 23:04 by Playmaker6174
It hit just a sweet soft spot on me once all the clues came together like that, and even those counting circles were so well used too. Thanks for the great joy :)
on 1. February 2024, 22:53 by AvonD
Funny how the most visibly daunting line turned out to be easiest. Very neat puzzle!
on 1. February 2024, 22:44 by yttrio
Very fun puzzle! This has one of the best variants of counting circles I've seen in a while.
on 1. February 2024, 22:04 by Myxo
Lovely puzzle!
on 1. February 2024, 18:32 by Snookerfan
Great puzzle! The snake was not hard to find after some key realisations. The other product lines were the trickiest parts for me. Thank you.
on 1. February 2024, 16:17 by Bankey
For the product sum line, the product of the two end-digits is to be equal to "the sum of all digits on the line"; does this sum include or exclude the two end-digits? Or, is it something to be deduced by the solver ? Thanks.
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Yes, 'all digits' includes the two end digits.
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Thanks for your response. :)
on 1. February 2024, 15:38 by MicroStudy
it's like two banger puzzles in one