Logic Masters Deutschland e.V.

Grow Your Own Snakes!

(Published on 8. September 2024, 19:50 by Krusti Clawn)

My first attempt at a more sophisticated puzzle with a unique ruleset! The rules might be somewhat convoluted but the solve itself should be relatively approachable. Enjoy!

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  • Normal Sudoku rules apply. Place the digits 1-9 once in each row, column and box.
  • Snake Growth: You are a snake keeper trying to grow your adolescent snakes to full size. To achieve this, all of the initial snakes must be extended by exactly two cells each; one grows out from the head end, one from the tail end.
    Snakes can only grow in orthogonal directions. Head and tail of any fully grown snake must point in different directions.
    A snake's extension cells may freely touch other cells of the same snake, however, different snakes may never touch each other, not even diagonally.
    Oh look, the pink snake egg in R4C2 is just about to hatch! Similar to the adolescent snakes, the newborn snake will grow by extending one head cell and one tail cell on different sides of the egg, each therefore pointing in a different orthogonal direction.
  • Snake Cages: To keep your fully grown snakes under control (but also the very dangerous newborn snake!), they must all be locked up, each into their own cage. A snake's cage is the smallest possible rectangle or square that encompasses the fully extended snake in its established shape. Cage borders must be constructed along the grid lines.
    Determined to be a good snake keeper, you figure that every snake will need an appropriate amount of room to move within its cage. Therefore, every cage must contain at least one cell that is not occupied by its snake. For each cage, the sum of the digit(s) within the unoccupied cell(s) is equal to the sum of the digits on the snake. These sums may vary between cages.
    Cages may touch each other, and snake cells may touch the borders of other cages—but again, never ever may your snakes touch each other in any way, even through cage borders!
    Digits may freely repeat on snakes and within cages if allowed by other rules.
  • X: Digits separated by an X sum to 10. Not all Xs are necessarily given.
  • Kropki: Digits separated by a white dot are consecutive. Not all white dots are necessarily given.
  • Arrows: Digits along a green arrow sum to the number in the attached circle. Digits may repeat along arrows if allowed by other rules.
  • Odd/Even Cells: Cells with a gray circle contain an odd digit. Cells with a gray square contain an even digit.

Play on SudokuPad!

Solution code: Column 8 (top to bottom)

Last changed on on 8. September 2024, 20:01

Solved by SKORP17, utsavb, jkuo7, SPREVVIE
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Comments

on 8. September 2024, 20:01 by Krusti Clawn
Updated link to account for aesthetic change.

Last changed on 8. September 2024, 19:59

on 8. September 2024, 19:59 by Krusti Clawn
Minor aesthetic change.

Difficulty:3
Rating:N/A
Solved:4 times
Observed:0 times
ID:000JQR

Puzzle variant Variant combination New

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